{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,16]],"date-time":"2026-10-16T01:55:56Z","timestamp":1792115756745,"version":"4.4.0"},"reference-count":61,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2021,1,6]],"date-time":"2021-01-06T00:00:00Z","timestamp":1609891200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,1,6]],"date-time":"2021-01-06T00:00:00Z","timestamp":1609891200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11501145"],"award-info":[{"award-number":["11501145"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["HEUCFM181101"],"award-info":[{"award-number":["HEUCFM181101"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["3072019CF2401"],"award-info":[{"award-number":["3072019CF2401"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["HEUCF181106"],"award-info":[{"award-number":["HEUCF181106"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["3072019CF2411"],"award-info":[{"award-number":["3072019CF2411"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100005046","name":"Natural Science Foundation of Heilongjiang Province","doi-asserted-by":"publisher","award":["QC2018004"],"award-info":[{"award-number":["QC2018004"]}],"id":[{"id":"10.13039\/501100005046","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["3072020CFT2402"],"award-info":[{"award-number":["3072020CFT2402"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Bull Math Biol"],"published-print":{"date-parts":[[2021,2]]},"DOI":"10.1007\/s11538-020-00839-3","type":"journal-article","created":{"date-parts":[[2021,1,6]],"date-time":"2021-01-06T10:08:55Z","timestamp":1609927735000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["Optimal Control of Mitigation Strategies for Dengue Virus Transmission"],"prefix":"10.1007","volume":"83","author":[{"given":"Ling","family":"Xue","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xue","family":"Ren","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Felicia","family":"Magpantay","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4408-7182","authenticated-orcid":false,"given":"Wei","family":"Sun","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Huaiping","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,1,6]]},"reference":[{"issue":"2","key":"839_CR1","first-page":"117","volume":"25","author":"HN Aida","year":"2008","unstructured":"Aida HN, Hassan AA, Nurita AT, Salmah MRC, Norasmah B (2008) Population analysis of Aedes albopictus (Skuse) (Diptera: Culicidae) under uncontrolled laboratory conditions. Trop Biomed 25(2):117\u2013125","journal-title":"Trop Biomed"},{"key":"839_CR2","first-page":"115","volume":"4","author":"F Brauer","year":"2019","unstructured":"Brauer F (2019) A singular perturbation approach to epidemics of vector-transmitted diseases. Infect Dis Model 4:115\u2013123","journal-title":"Infect Dis Model"},{"issue":"2\u20133","key":"839_CR3","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1080\/00411459308203817","volume":"22","author":"YI Balashov","year":"1993","unstructured":"Balashov YI, Bolyatko VV, Voloschenko AM (1993) Sensitivity and uncertainty analysis on the basis of one and two-dimensional transport calculations. Transp Theor Stat 22(2\u20133):331\u2013345","journal-title":"Transp Theor Stat"},{"issue":"4","key":"839_CR4","doi-asserted-by":"publisher","first-page":"1006","DOI":"10.1007\/s11538-009-9480-0","volume":"72","author":"KW Blayneh","year":"2010","unstructured":"Blayneh KW, Gumel AB, Lenhart S, Clayton T (2010) Backward bifurcation and optimal control in transmission dynamics of West Nile virus. Bull Math Biol 72(4):1006\u20131028","journal-title":"Bull Math Biol"},{"issue":"2","key":"839_CR5","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1002\/mma.4629","volume":"41","author":"B Buonomo","year":"2017","unstructured":"Buonomo B, Marca RD (2017) Optimal bed net use for a dengue disease model with mosquito seasonal pattern. Math Methods Appl Sci 41(2):573\u2013592","journal-title":"Math Methods Appl Sci"},{"issue":"2","key":"839_CR6","doi-asserted-by":"publisher","first-page":"571","DOI":"10.1016\/j.mbs.2006.11.011","volume":"208","author":"G Chowell","year":"2007","unstructured":"Chowell G, Diazduenas P, Miller JC, Alcazarvelazco A, Hyman JM, Fenimore PW, Castillochavez C (2007) Estimation of the reproduction number of dengue fever from spatial epidemic data. Math Biosci 208(2):571\u2013589","journal-title":"Math Biosci"},{"issue":"5","key":"839_CR7","doi-asserted-by":"publisher","first-page":"809","DOI":"10.1093\/jmedent\/35.5.809","volume":"35","author":"A Costero","year":"1998","unstructured":"Costero A, Edman JD, Clark GG, Scott TW (1998) Life table study of Aedes aegypti (Diptera: Culicidae) in Puerto Rico fed only human blood versus blood plus sugar. J Med Entomol 35(5):809\u2013813","journal-title":"J Med Entomol"},{"issue":"2","key":"839_CR8","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.ifacol.2018.03.003","volume":"51","author":"K Chudej","year":"2018","unstructured":"Chudej K, Fischer A (2018) Optimal vaccination strategies for a new dengue model with two sertyoes. IFAC-Papers On Line 51(2):13\u201318","journal-title":"IFAC-Papers On Line"},{"issue":"5","key":"839_CR9","doi-asserted-by":"publisher","first-page":"1272","DOI":"10.1007\/s11538-008-9299-0","volume":"70","author":"N Chitnis","year":"2008","unstructured":"Chitnis N, Hyman JM, Cushing JM (2008) Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Bull Math Biol 70(5):1272\u20131296","journal-title":"Bull Math Biol"},{"issue":"10","key":"839_CR10","doi-asserted-by":"publisher","first-page":"e1876","DOI":"10.1371\/journal.pntd.0001876","volume":"6","author":"DL Chao","year":"2012","unstructured":"Chao DL, Halstead SB, Halloran ME, Longini IM (2012) Controlling dengue with vaccines in Thailand. PLoS Negl Trop Dis 6(10):e1876","journal-title":"PLoS Negl Trop Dis"},{"key":"839_CR11","doi-asserted-by":"publisher","first-page":"1358","DOI":"10.1016\/S0140-6736(14)61060-6","volume":"384","author":"MR Capeding","year":"2014","unstructured":"Capeding MR, Tran NH, Hadinegoro SR, Ismail HI, Chotpitayasunondh T, Chua MN, Luong CQ, Rusmil K, Wirawan DN, Nallusamy R, Pitisuttithum P, Thisyakorn U, Yoon IK, van der Vliet D, Langevin E, Laot T, Hutagalung Y, Frago C, Boaz M, Wartel TA, Tornieporth NG, Saville M, Bouckenooghe A, CYD14 Study Group (2014) Clinical efficacy and safety of a novel tetravalent dengue vaccine in healthy children in Asia: a phase 3, randomised, observer-masked, placebo-controlled trial. Lancet 384:1358\u20131365","journal-title":"Lancet"},{"issue":"4","key":"839_CR12","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1007\/BF00178324","volume":"28","author":"O Diekmann","year":"1990","unstructured":"Diekmann O, Heesterbeek JAP, Metz JAJ (1990) On the definition and the computation of the basic reproduction ratio $$R_0$$ in models for infectious diseases in heterogeneous populations. J Math Biol 28(4):365\u2013382","journal-title":"J Math Biol"},{"issue":"5","key":"839_CR13","doi-asserted-by":"publisher","first-page":"916","DOI":"10.1007\/s11538-016-0167-z","volume":"78","author":"C Dorsett","year":"2016","unstructured":"Dorsett C, Oh H, Paulemond ML, Rychtar J (2016) Optimal repellent usage to combat dengue fever. Bull Math Biol 78(5):916\u2013922","journal-title":"Bull Math Biol"},{"issue":"2","key":"839_CR14","doi-asserted-by":"publisher","first-page":"257","DOI":"10.4269\/ajtmh.2011.10-0516","volume":"85","author":"AM Ellis","year":"2011","unstructured":"Ellis AM, Garcia AJ, Focks DA, Morrison AC, Scott TW (2011) Parameterization and sensitivity analysis of a complex simulation model for mosquito population dynamics, dengue transmission, and their control. Am J Trop Med Hyg 85(2):257\u2013264","journal-title":"Am J Trop Med Hyg"},{"issue":"2","key":"839_CR15","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1016\/S0025-5564(98)10003-2","volume":"150","author":"L Esteva","year":"1998","unstructured":"Esteva L, Vargas C (1998) Analysis of a dengue disease transmission model. Math Biosci 150(2):131\u2013151","journal-title":"Math Biosci"},{"issue":"2","key":"839_CR16","doi-asserted-by":"publisher","first-page":"790","DOI":"10.1073\/pnas.96.2.790","volume":"96","author":"N Ferguson","year":"1999","unstructured":"Ferguson N, Anderson R, Gupta S (1999) The effect of antibody-dependent enhancement on the transmission dynamics and persistence of multiple-strain pathogens. Proc Natl Acad Sci USA 96(2):790\u2013794","journal-title":"Proc Natl Acad Sci USA"},{"issue":"8","key":"839_CR17","doi-asserted-by":"publisher","first-page":"1750109","DOI":"10.1142\/S1793524517501091","volume":"10","author":"WJ Feng","year":"2017","unstructured":"Feng WJ, Cai LM, Liu K (2017) Dynamics of a dengue epidemic model with class-age structure. Int J Biomath 10(8):1750109","journal-title":"Int J Biomath"},{"issue":"6303","key":"839_CR18","doi-asserted-by":"publisher","first-page":"1033","DOI":"10.1126\/science.aaf9590","volume":"353","author":"NM Ferguson","year":"2016","unstructured":"Ferguson NM, Rodrguez-Barraquer I, Dorigatti I, Mier-y-Teran-Romero L, Laydon DJ, Cummings DAT (2016) Benefits and risks of the Sanofi-Pasteur dengue vaccine: modeling optimal deployment. Science 353(6303):1033\u20131036","journal-title":"Science"},{"issue":"4","key":"839_CR19","first-page":"398","volume":"28","author":"D Gupta","year":"2016","unstructured":"Gupta D (2016) Dengvaxia: prayers answered or not? J Commun Health 28(4):398\u2013399","journal-title":"J Commun Health"},{"issue":"42","key":"839_CR20","doi-asserted-by":"publisher","first-page":"7229","DOI":"10.1016\/j.vaccine.2011.06.094","volume":"29","author":"B Guy","year":"2011","unstructured":"Guy B, Barrere B, Malinowski C, Saville M, Teyssou R, Lang J (2011) From research to phase iii: Preclinical, industrial and clinical development of the Sanofi Pasteur tetravalent dengue vaccine. Vaccine 29(42):7229\u20137241","journal-title":"Vaccine"},{"issue":"1","key":"839_CR21","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1016\/j.mbs.2008.05.002","volume":"215","author":"SM Garba","year":"2008","unstructured":"Garba SM, Gumel AB, Abu Bakar MR (2008) Backward bifurcations in dengue transmission dynamics. Math Biosci 215(1):11\u201325","journal-title":"Math Biosci"},{"key":"839_CR22","first-page":"623","volume":"59","author":"DJ Gubler","year":"1981","unstructured":"Gubler DJ, Suharyono W, Tan R, Abidin M, Sie A (1981) Viraemia in patients with naturally acquired dengue infection. Bull World Health Organ 59:623\u2013630","journal-title":"Bull World Health Organ"},{"key":"839_CR23","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1016\/S0065-3527(03)60011-4","volume":"60","author":"SB Halstead","year":"2003","unstructured":"Halstead SB (2003) Neutralization and antibody-dependent enhancement of dengue viruses. Adv Virus Res 60:421\u2013467","journal-title":"Adv Virus Res"},{"issue":"8","key":"839_CR24","doi-asserted-by":"publisher","first-page":"2245","DOI":"10.4161\/hv.28953","volume":"10","author":"H Jindal","year":"2014","unstructured":"Jindal H, Bhatt B, Malik JS, Shashikantha SK (2014) Dengue vaccine: a valuable asset for the future. Hum Vacc Immunother 10(8):2245\u20132246","journal-title":"Hum Vacc Immunother"},{"issue":"4","key":"839_CR25","first-page":"473","volume":"2","author":"E Jung","year":"2002","unstructured":"Jung E, Lenhart S, Feng Z (2002) Optimal control of treatments in a two-strain tuberculosis model. Discret. Contin Dyn Syst B 2(4):473\u2013482","journal-title":"Discret. Contin Dyn Syst B"},{"issue":"1","key":"839_CR26","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1186\/2049-9957-3-12","volume":"3","author":"A Khan","year":"2014","unstructured":"Khan A, Hassan M, Imran M (2014) Estimating the basic reproduction number for single-strain dengue fever epidemics. Infect Dis Poverty 3(1):12","journal-title":"Infect Dis Poverty"},{"key":"839_CR27","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1002\/rmv.1980010405","volume":"1","author":"I Kurane","year":"1991","unstructured":"Kurane I, Mady BJ, Ennis FA (1991) Antibody-dependent enhancement of dengue virus infection. Rev Med Virol 1:211\u2013221","journal-title":"Rev Med Virol"},{"key":"839_CR28","volume-title":"Differential equations: classical to controlled","author":"DL Lukes","year":"1982","unstructured":"Lukes DL (1982) Differential equations: classical to controlled. Academic Press, New York"},{"issue":"20","key":"839_CR29","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1016\/j.jtbi.2014.04.033","volume":"356","author":"CA Manore","year":"2014","unstructured":"Manore CA, Hickmann KS, Xu S, Wearing HJ, Hyman JM (2014) Comparing dengue and chikungunya emergence and endemic transmission in A. aegypti and A. albopictus. J Theoret Biol 356(20):174\u2013191","journal-title":"J Theoret Biol"},{"key":"839_CR30","doi-asserted-by":"publisher","first-page":"709","DOI":"10.4269\/ajtmh.1992.47.709","volume":"47","author":"EAC Newton","year":"1992","unstructured":"Newton EAC, Reiter P (1992) A model of the transmission of dengue fever with an evaluation of the impact of ultra-low volume (ULV) insecticide applications on dengue epidemics. Am J Trop Med Hyg 47:709\u2013720","journal-title":"Am J Trop Med Hyg"},{"key":"839_CR31","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1186\/s13662-017-1323-y","volume":"1","author":"LF Nie","year":"2017","unstructured":"Nie LF, Xue YN (2017) The roles of maturation delay and vaccination on the spread of dengue virus and optimal control. Adv Differ Equ 1:278","journal-title":"Adv Differ Equ"},{"key":"839_CR32","volume-title":"The mathematical theory of optimal processes","author":"LS Pontryagin","year":"1962","unstructured":"Pontryagin LS, Boltyanskii V, Gamkrelidze RV, Mishchenko EF (1962) The mathematical theory of optimal processes. Interscience, New York"},{"issue":"3","key":"839_CR33","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1089\/vbz.2009.0005","volume":"10","author":"C Paupy","year":"2010","unstructured":"Paupy C, Ollomo B, Kamgang B, Moutailler S, Rousset D, Demanou M, Herv\u00e8 J, Leroy E, Simard F (2010) Comparative role of Aedes albopictus and Aedes aegypti in the emergence of dengue and chikungunya in Central Africa. Vector Borne Zoonotic Dis 10(3):259\u2013266","journal-title":"Vector Borne Zoonotic Dis"},{"key":"839_CR34","doi-asserted-by":"publisher","first-page":"225","DOI":"10.4269\/ajtmh.1995.52.225","volume":"55","author":"JL Putnam","year":"1995","unstructured":"Putnam JL, Scott TW (1995) Blood feeding behavior of dengue-2 virus-infected Aedes aegypti. Am J Trop Med Hyg 55:225\u2013227","journal-title":"Am J Trop Med Hyg"},{"key":"839_CR35","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1016\/S0065-3527(03)60010-2","volume":"60","author":"AL Rothman","year":"2003","unstructured":"Rothman AL (2003) Immunology and immunopathogenesis of dengue disease. Adv Virus Res 60:397\u2013419","journal-title":"Adv Virus Res"},{"key":"839_CR36","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/S0065-3527(03)59005-4","volume":"59","author":"JT Roehrig","year":"2003","unstructured":"Roehrig JT (2003) Antigenic structure of flavivirus proteins. Adv Virus Res 59:141\u2013175","journal-title":"Adv Virus Res"},{"issue":"9132","key":"839_CR37","doi-asserted-by":"publisher","first-page":"971","DOI":"10.1016\/S0140-6736(97)12483-7","volume":"352","author":"JG Rigau-P\u00e9rez","year":"1998","unstructured":"Rigau-P\u00e9rez JG, Clark GG, Gubler DJ (1998) Dengue and dengue haemorrhagic fever. Lancet 352(9132):971\u2013977","journal-title":"Lancet"},{"issue":"1","key":"839_CR38","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.mbs.2013.10.006","volume":"247","author":"HS Rodrigues","year":"2014","unstructured":"Rodrigues HS, Monteiro MT, Torres DF (2014) Vaccination models and optimal control strategies to dengue. Math Biosci 247(1):1\u201312","journal-title":"Math Biosci"},{"key":"839_CR39","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1016\/j.orhc.2015.07.003","volume":"7","author":"FP Rocha","year":"2015","unstructured":"Rocha FP, Rodrigues HS, Monteiro MTT, Torres DF (2015) Coexistence of two dengue virus serotypes and forecasting for Madeira Island. Oper Res Health Care 7:122\u2013131","journal-title":"Oper Res Health Care"},{"issue":"1","key":"839_CR40","first-page":"443","volume":"23","author":"F Rodrigues","year":"2017","unstructured":"Rodrigues F, Silva CJ, Torres DFM, Maurer H (2017) Optimal control of a delayed HIV model. Discrete Contin Dyn Syst Ser B 23(1):443\u2013458","journal-title":"Discrete Contin Dyn Syst Ser B"},{"key":"839_CR41","doi-asserted-by":"publisher","first-page":"30","DOI":"10.4269\/ajtmh.1952.1.30","volume":"1","author":"AB Sabin","year":"1952","unstructured":"Sabin AB (1952) Research on dengue during World War II. Am J Trop Med Hyg 1:30\u201350","journal-title":"Am J Trop Med Hyg"},{"issue":"8","key":"839_CR42","doi-asserted-by":"publisher","first-page":"871","DOI":"10.1016\/j.chembiol.2007.08.004","volume":"14","author":"C Shekhar","year":"2007","unstructured":"Shekhar C (2007) Deadly dengue: New vaccines promise to tackle this escalating global menace. Chem Biol 14(8):871\u2013872","journal-title":"Chem Biol"},{"issue":"5","key":"839_CR43","doi-asserted-by":"publisher","first-page":"1137","DOI":"10.4269\/ajtmh.16-0194","volume":"95","author":"E Shim","year":"2016","unstructured":"Shim E (2016) Dengue dynamics and vaccine cost-effectiveness analysis in the Philippines. Am J Trop Med Hyg 95(5):1137\u20131147","journal-title":"Am J Trop Med Hyg"},{"issue":"5","key":"839_CR44","doi-asserted-by":"publisher","first-page":"1227","DOI":"10.4269\/ajtmh.16-0810","volume":"96","author":"E Shim","year":"2017","unstructured":"Shim E (2017) Cost-effectiveness of dengue vaccination programs in Brazil. Am J Trop Med Hyg 96(5):1227\u20131234","journal-title":"Am J Trop Med Hyg"},{"key":"839_CR45","first-page":"1","volume":"29","author":"JF Siler","year":"1926","unstructured":"Siler JF, Hall MW, Hitchens AP (1926) Dengue: its history, epidemiology, mechanism of transmission, etiology, clinical manifestations, immunity and prevention. Philipp J Crop Sci 29:1\u2013304","journal-title":"Philipp J Crop Sci"},{"issue":"3","key":"839_CR46","doi-asserted-by":"publisher","first-page":"661","DOI":"10.2307\/3042","volume":"38","author":"PM Sheppard","year":"1969","unstructured":"Sheppard PM, Macdonald WW, Tonn RJ, Grab B (1969) The dynamics of an adult population of Aedes aegypti in relation to dengue haemorrhagic fever in Bangkok. J Anim Ecol 38(3):661\u2013702","journal-title":"J Anim Ecol"},{"key":"839_CR47","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1016\/j.jtbi.2019.03.010","volume":"470","author":"SK Sasmal","year":"2019","unstructured":"Sasmal SK, Takeuchi Y, Nakaoka S (2019) T-cell mediated adaptive immunity and antibody-dependent enhancement in secondary dengue infection. J Theoret Biol 470:50\u201363","journal-title":"J Theoret Biol"},{"key":"839_CR48","doi-asserted-by":"publisher","first-page":"1263","DOI":"10.4269\/ajtmh.1986.35.1263","volume":"35","author":"M Trpis","year":"1986","unstructured":"Trpis M, Haussermann W (1986) Dispersal and other population parameters of Aedes aegypti in an African village and their possible significance in epidemiology of vector-borne diseases. Am J Trop Med Hyg 35:1263\u20131279","journal-title":"Am J Trop Med Hyg"},{"key":"839_CR49","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1093\/jmedent\/32.1.27","volume":"32","author":"M Trpis","year":"1995","unstructured":"Trpis M, Haussermann W, Craig GB (1995) Estimates of population size, dispersal, and longevity of domestic Aedes aegypti by mark-release-recapture in the village of Shauri Moyo in eastern Kenya. J Med Entomol 32:27\u201333","journal-title":"J Med Entomol"},{"issue":"1","key":"839_CR50","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1186\/s12976-018-0085-x","volume":"15","author":"B Tang","year":"2018","unstructured":"Tang B, Huo X, Xiao Y, Ruan S, Wu J (2018) A conceptual model for optimizing vaccine coverage to reduce vector-borne infections in the presence of antibody-dependent enhancement. Theor Biol Med Model 15(1):13","journal-title":"Theor Biol Med Model"},{"issue":"12","key":"839_CR51","doi-asserted-by":"publisher","first-page":"1829","DOI":"10.1128\/CVI.00316-10","volume":"17","author":"S Ubol","year":"2010","unstructured":"Ubol S, Halstead SB (2010) How innate immune mechanisms contribute to antibody-enhanced viral infections. Clin Vaccine Immunol 17(12):1829\u20131835","journal-title":"Clin Vaccine Immunol"},{"key":"839_CR52","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1086\/315215","volume":"181","author":"DW Vaughn","year":"2000","unstructured":"Vaughn DW, Green S, Kalayanarooj S, Innis BL, Nimmannitya S, Suntayakorn S, Endy TP, Raengsakulrach B, Rothman AL, Ennis FA, Nisalak A (2000) Dengue viremia titer, antibody response pattern, and virus serotype correlate with disease severity. J Infect Dis 181:2\u20139","journal-title":"J Infect Dis"},{"key":"839_CR53","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1007\/978-3-540-78911-6_6","volume-title":"Mathematical epidemiology","author":"P van den Dreessche","year":"2008","unstructured":"van den Dreessche P, Watmough J (2008) Further notes on the basic reproduction number. In: Brauer F, van den Driessche P, Wu J (eds) Mathematical epidemiology. Springer, Berlin, pp 159\u2013178"},{"issue":"1","key":"839_CR54","doi-asserted-by":"publisher","first-page":"143","DOI":"10.4269\/ajtmh.1987.36.143","volume":"36","author":"DM Watts","year":"1987","unstructured":"Watts DM, Burke DS, Harrison BA, Whitmore RE, Nisalak A (1987) Effect of temperature on the vector efficiency of Aedes aegypti for dengue 2 virus. Am J Trop Med Hyg 36(1):143\u2013152","journal-title":"Am J Trop Med Hyg"},{"issue":"31","key":"839_CR55","doi-asserted-by":"publisher","first-page":"11802","DOI":"10.1073\/pnas.0602960103","volume":"103","author":"HJ Wearing","year":"2006","unstructured":"Wearing HJ, Rohani P (2006) Ecological and mmunological determinants of dengue epidemics. Proc Natl Acad Sci USA 103(31):11802\u201311807","journal-title":"Proc Natl Acad Sci USA"},{"key":"839_CR56","doi-asserted-by":"publisher","first-page":"248","DOI":"10.1016\/j.physa.2019.01.099","volume":"522","author":"L Wang","year":"2019","unstructured":"Wang L, Zhao H (2019) Dynamics analysis of a Zika-dengue co-infection model with dengue vaccine and antibody-dependent enhancement. Phys A 522:248\u2013273","journal-title":"Phys A"},{"issue":"12","key":"839_CR57","doi-asserted-by":"publisher","first-page":"5579","DOI":"10.1016\/j.csda.2007.04.003","volume":"51","author":"C Xu","year":"2007","unstructured":"Xu C, Gertner G (2007) Extending a global sensitivity analysis technique to models with correlated parameters. Comput Stat Data Anal 51(12):5579\u20135590","journal-title":"Comput Stat Data Anal"},{"issue":"4","key":"839_CR58","first-page":"1","volume":"13","author":"J Yu","year":"2019","unstructured":"Yu J, Li J (2019) Dynamics of interactive wild and sterile mosquitoes with time delay. J Biol Dyn 13(4):1\u201315","journal-title":"J Biol Dyn"},{"issue":"2","key":"839_CR59","doi-asserted-by":"publisher","first-page":"523","DOI":"10.3934\/mbe.2018024","volume":"15","author":"B Zheng","year":"2018","unstructured":"Zheng B, Guo W, Hu L, Huang M, Yu J (2018) Complex Wolbachia infection dynamics in mosquitoes with imperfect maternal transmission. Math Biosci Eng 15(2):523\u2013541","journal-title":"Math Biosci Eng"},{"key":"839_CR60","doi-asserted-by":"publisher","first-page":"424","DOI":"10.1016\/j.nonrwa.2017.07.007","volume":"39","author":"M Zhu","year":"2018","unstructured":"Zhu M, Lin Z (2018) The impact of human activity on the risk index and spatial spreading of dengue fever. Nonlinear Anal Real World Appl 39:424\u2013450","journal-title":"Nonlinear Anal Real World Appl"},{"key":"839_CR61","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1016\/j.mbs.2018.03.003","volume":"299","author":"XH Zhang","year":"2018","unstructured":"Zhang XH, Tang SY, Liu QY, Cheke RA, Zhu HP (2018) Models to assess the effects of non-identical sex ratio augmentations of Wolbachia-carrying mosquitoes on the control of dengue disease. Math Biosci 299:58\u201372","journal-title":"Math Biosci"}],"container-title":["Bulletin of Mathematical Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-020-00839-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11538-020-00839-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-020-00839-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,17]],"date-time":"2023-10-17T01:37:05Z","timestamp":1697506625000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11538-020-00839-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,6]]},"references-count":61,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["839"],"URL":"https:\/\/doi.org\/10.1007\/s11538-020-00839-3","relation":{},"ISSN":["0092-8240","1522-9602"],"issn-type":[{"value":"0092-8240","type":"print"},{"value":"1522-9602","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,6]]},"assertion":[{"value":"17 June 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 November 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 January 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"8"}}