{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,3]],"date-time":"2026-10-03T16:31:24Z","timestamp":1791045084484,"version":"4.1.0"},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2023,10,17]],"date-time":"2023-10-17T00:00:00Z","timestamp":1697500800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,10,17]],"date-time":"2023-10-17T00:00:00Z","timestamp":1697500800000},"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":"publisher","award":["12271143"],"award-info":[{"award-number":["12271143"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573016"],"award-info":[{"award-number":["61573016"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. Math. Biol."],"published-print":{"date-parts":[[2023,11]]},"DOI":"10.1007\/s00285-023-02009-0","type":"journal-article","created":{"date-parts":[[2023,10,17]],"date-time":"2023-10-17T16:01:44Z","timestamp":1697558504000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Rich dynamics of a bidirectionally linked immuno-epidemiological model for cholera"],"prefix":"10.1007","volume":"87","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5825-3364","authenticated-orcid":false,"given":"Junyuan","family":"Yang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peiqi","family":"Jia","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jin","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhen","family":"Jin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,10,17]]},"reference":[{"issue":"6","key":"2009_CR1","doi-asserted-by":"publisher","first-page":"4331","DOI":"10.1007\/s12190-022-01709-y","volume":"68","author":"A Aili","year":"2022","unstructured":"Aili A, Teng ZD, Zhang L (2022) Dynamics in a disease transmission model coupled virus infection in host with incubation delay and environmental effects. J Appl Math Comput 68(6):4331\u20134359","journal-title":"J Appl Math Comput"},{"issue":"1","key":"2009_CR2","doi-asserted-by":"publisher","first-page":"505","DOI":"10.3934\/mbe.2023023","volume":"20","author":"A Aili","year":"2023","unstructured":"Aili A, Teng ZD, Zhang L (2023) Dynamical behavior of a coupling SEIR epidemic model with transmission in body and vitro, incubation and environmental effects. Math Biosci Eng 20(1):505\u2013533","journal-title":"Math Biosci Eng"},{"issue":"9773","key":"2009_CR3","doi-asserted-by":"publisher","first-page":"1248","DOI":"10.1016\/S0140-6736(11)60273-0","volume":"377","author":"JR Andrews","year":"2011","unstructured":"Andrews JR, Basu S (2011) Transmission dynamics and control of cholera in Haiti: an epidemic model. Lancet 377(9773):1248\u20131255","journal-title":"Lancet"},{"issue":"9","key":"2009_CR4","first-page":"2239","volume":"18","author":"LM Cai","year":"2013","unstructured":"Cai LM, Martcheva M, Li XZ (2013) Epidemic models with age of infection, indirect transmission and incomplete treatment. Discrete Contin Dyn Syst B 18(9):2239","journal-title":"Discrete Contin Dyn Syst B"},{"key":"2009_CR5","doi-asserted-by":"publisher","first-page":"404","DOI":"10.1016\/j.apm.2020.05.022","volume":"86","author":"LM Cai","year":"2020","unstructured":"Cai LM, Li ZQ, Yang CY, Wang J (2020) Global analysis of an environmental disease transmission model linking within-host and between-host dynamics. Appl Math Model 86:404\u2013423","journal-title":"Appl Math Model"},{"key":"2009_CR6","unstructured":"Cholera, Report from the World Health Organization. https:\/\/www.emro.who.int\/health-topics\/cholera-outbreak\/cholera-outbreaks.html"},{"issue":"1","key":"2009_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/1471-2334-1-1","volume":"1","author":"CT Code\u00e7o","year":"2001","unstructured":"Code\u00e7o CT (2001) Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir. BMC Infect Dis 1(1):1\u201314","journal-title":"BMC Infect Dis"},{"key":"2009_CR8","doi-asserted-by":"crossref","unstructured":"Colwell RR (2006) A global and historical perspective of the genus Vibrio. Biol Vibrios 1\u201311","DOI":"10.1128\/9781555815714.ch1"},{"key":"2009_CR9","unstructured":"Epidemic and pandemic-prone diseases (2021). https:\/\/www.emro.who.int\/health-topics\/cholera-outbreak\/cholera-outbreaks.html"},{"key":"2009_CR10","unstructured":"Faruque SM, Nair GB (2008) Vibrio cholerae: genomics and molecular biology. Horizon Scientific Press"},{"issue":"3","key":"2009_CR11","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1006\/jtbi.2002.3076","volume":"218","author":"MA Gilchrist","year":"2002","unstructured":"Gilchrist MA, Sasaki A (2002) Modeling host-parasite coevolution: a nested approach based on mechanistic models. J Theor Biol 218(3):289\u2013308","journal-title":"J Theor Biol"},{"key":"2009_CR12","unstructured":"Haiti population (2020) https:\/\/www.macrotrends.net\/countries\/HTI\/haiti\/population 1950"},{"issue":"1","key":"2009_CR13","doi-asserted-by":"publisher","first-page":"e7","DOI":"10.1371\/journal.pmed.0030007","volume":"3","author":"DM Hartley","year":"2006","unstructured":"Hartley DM, Morris JJ, Smith DL (2006) Hyperinfectivity: a critical element in the ability of V. Cholerae to cause epidemics? PLoS Med 3(1):e7","journal-title":"PLoS Med"},{"issue":"2","key":"2009_CR14","doi-asserted-by":"publisher","first-page":"24","DOI":"10.5897\/AJMCSR2013.0527","volume":"7","author":"AO Isere","year":"2014","unstructured":"Isere AO, Osemwenkhae JE, Okuonghae D (2014) Optimal control model for the outbreak of cholera in Nigeria. Afr J Math Comput Sci Res 7(2):24\u201330","journal-title":"Afr J Math Comput Sci Res"},{"key":"2009_CR15","volume-title":"Age structured epidemic modeling","author":"XZ Li","year":"2020","unstructured":"Li XZ, Yang JY, Martcheva M (2020) Age structured epidemic modeling, vol 52. Springer Nature, Switzerland"},{"key":"2009_CR16","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.110024","volume":"139","author":"JJ Lu","year":"2020","unstructured":"Lu JJ, Teng ZD, Li YK (2020) An age-structured model for coupling within-host and between-host dynamics in environmentally-driven infectious diseases. Chaos Solitons Fractals 139:110024","journal-title":"Chaos Solitons Fractals"},{"key":"2009_CR17","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-7612-3","volume-title":"An introduction to mathematical epidemiology","author":"M Martcheva","year":"2015","unstructured":"Martcheva M (2015) An introduction to mathematical epidemiology. Springer, New York"},{"issue":"8","key":"2009_CR18","doi-asserted-by":"publisher","first-page":"2004","DOI":"10.1007\/s11538-010-9521-8","volume":"72","author":"N Miller","year":"2010","unstructured":"Miller N, Rachael L, Schaefer E, Gaff H, Fister KR, Lenhart S (2010) Modeling optimal intervention strategies for cholera. Bull Math Biol 72(8):2004\u20132018","journal-title":"Bull Math Biol"},{"issue":"9","key":"2009_CR19","doi-asserted-by":"publisher","first-page":"16015","DOI":"10.3934\/mbe.2023714","volume":"20","author":"B Musundi","year":"2023","unstructured":"Musundi B (2023) An immuno-epidemiological model linking between-host and within-host dynamics of cholera. Math Biosci Eng 20(9):16015\u201316032","journal-title":"Math Biosci Eng"},{"key":"2009_CR20","doi-asserted-by":"publisher","first-page":"693","DOI":"10.1038\/nrmicro2204","volume":"7","author":"EJ Nelson","year":"2009","unstructured":"Nelson EJ, Harris JB, Glenn MJ, Calderwood SB, Camilli A (2009) Cholera transmission: the host, pathogen and bacteriophage dynamics. Nat Rev Microbiol 7:693\u2013702","journal-title":"Nat Rev Microbiol"},{"key":"2009_CR21","unstructured":"Population, Report from the website of Worldmeter. https:\/\/www.worldometers.info\/population\/"},{"key":"2009_CR22","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1016\/j.mbs.2015.03.006","volume":"264","author":"D Posny","year":"2015","unstructured":"Posny D, Wang J, Mukandavire Z, Modnak C (2015) Analyzing transmission dynamics of cholera with public health interventions. Math Biosci 264:38\u201353","journal-title":"Math Biosci"},{"issue":"6","key":"2009_CR23","doi-asserted-by":"publisher","first-page":"1506","DOI":"10.1007\/s11538-010-9507-6","volume":"72","author":"JH Tien","year":"2010","unstructured":"Tien JH, Earn DJD (2010) Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Bull Math Biol 72(6):1506\u20131533","journal-title":"Bull Math Biol"},{"issue":"9","key":"2009_CR24","doi-asserted-by":"publisher","first-page":"593","DOI":"10.7326\/0003-4819-154-9-201105030-00334","volume":"154","author":"AR Tuite","year":"2011","unstructured":"Tuite AR, Tien J, Eisenberg M, Earn DJ, Ma J, Fisman DN (2011) Cholera epidemic in Haiti, 2010: using a transmission model to explain spatial spread of disease and identify optimal control interventions. Ann Intern Med 154(9):593\u2013601","journal-title":"Ann Intern Med"},{"key":"2009_CR25","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1016\/S0025-5564(02)00108-6","volume":"180","author":"P van den Driessche","year":"2002","unstructured":"van den Driessche P, Watmough J (2002) Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math Biosci 180:29\u201348","journal-title":"Math Biosci"},{"key":"2009_CR26","doi-asserted-by":"publisher","first-page":"1910","DOI":"10.1126\/science.272.5270.1910","volume":"272","author":"MK Waldor","year":"1996","unstructured":"Waldor MK, Mekalanos JJ (1996) Lysogenic conversion by a filamentous phage encoding cholera toxin. Science 272:1910\u20131914","journal-title":"Science"},{"issue":"12","key":"2009_CR27","doi-asserted-by":"publisher","first-page":"2358","DOI":"10.3390\/microorganisms10122358","volume":"10","author":"J Wang","year":"2022","unstructured":"Wang J (2022) Mathematical models for cholera dynamics\u2014a review. Microorganisms 10(12):2358","journal-title":"Microorganisms"},{"key":"2009_CR28","doi-asserted-by":"crossref","unstructured":"Wang XY, Wang J (2017a) Modeling the within-host dynamics of cholera: bacterial-viral interaction. J Biol Dyn 11(sup2):484\u2013501","DOI":"10.1080\/17513758.2016.1269957"},{"key":"2009_CR29","doi-asserted-by":"crossref","unstructured":"Wang XY, Wang J (2017b) Disease dynamics in a coupled cholera model linking within-host and between-host interactions. J Biol Dyn 11(sup1):238\u2013262","DOI":"10.1080\/17513758.2016.1231850"},{"issue":"4","key":"2009_CR30","first-page":"1898","volume":"11","author":"N Wang","year":"2021","unstructured":"Wang N, Zhang L, Teng ZD (2021) A reaction-diffusion model for nested within-host and between-host dynamics in an environmentally-driven infectious disease. J Appl Anal Comput 11(4):1898\u20131926","journal-title":"J Appl Anal Comput"},{"issue":"4","key":"2009_CR31","doi-asserted-by":"publisher","first-page":"596","DOI":"10.1080\/10236198.2021.1929197","volume":"27","author":"BY Wen","year":"2021","unstructured":"Wen BY, Teng ZD (2021) Dynamical behaviour in discrete coupled within-host and between-host epidemic model with environmentally driven and saturation incidence. J Differ Equ Appl 27(4):596\u2013617","journal-title":"J Differ Equ Appl"},{"key":"2009_CR32","unstructured":"World Health Organization (2017) Cholera annual report 93, 489\u2013500. http:\/\/www.who.int\/wer\/2018\/wer9338\/en\/. 21 September 2018"},{"key":"2009_CR33","unstructured":"World Health Organization (2019) Cholera fact sheet. http:\/\/www.who.int\/mediacentre\/factsheets\/fs107\/en\/"},{"key":"2009_CR34","unstructured":"World Health Organization (2022) Cholera fact sheet. https:\/\/www.who.int\/news-room\/fact-sheets\/detail\/cholera"},{"issue":"03","key":"2009_CR35","doi-asserted-by":"publisher","first-page":"2250003","DOI":"10.1142\/S1793524522500036","volume":"15","author":"JY Yang","year":"2022","unstructured":"Yang JY, Wang GQ, Zhou M, Wang XY (2022) Interplays of a waterborne disease model linking within-and between-host dynamics with waning vaccine-induced immunity. Int J Biomath 15(03):2250003","journal-title":"Int J Biomath"}],"container-title":["Journal of Mathematical Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00285-023-02009-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00285-023-02009-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00285-023-02009-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,31]],"date-time":"2023-10-31T16:05:25Z","timestamp":1698768325000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00285-023-02009-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,17]]},"references-count":35,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2023,11]]}},"alternative-id":["2009"],"URL":"https:\/\/doi.org\/10.1007\/s00285-023-02009-0","relation":{},"ISSN":["0303-6812","1432-1416"],"issn-type":[{"value":"0303-6812","type":"print"},{"value":"1432-1416","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,10,17]]},"assertion":[{"value":"27 January 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 September 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 October 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 October 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"71"}}