{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T19:12:37Z","timestamp":1780341157663,"version":"3.54.1"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2014,7,31]],"date-time":"2014-07-31T00:00:00Z","timestamp":1406764800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Acta Biotheor"],"published-print":{"date-parts":[[2015,3]]},"DOI":"10.1007\/s10441-014-9234-8","type":"journal-article","created":{"date-parts":[[2014,7,30]],"date-time":"2014-07-30T15:41:23Z","timestamp":1406734883000},"page":"1-21","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Mathematical Analysis of a Chlamydia Epidemic Model with Pulse Vaccination Strategy"],"prefix":"10.1007","volume":"63","author":[{"given":"G. P.","family":"Samanta","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2014,7,31]]},"reference":[{"issue":"4","key":"9234_CR1","first-page":"55","volume":"5","author":"IA Adetunde","year":"2009","unstructured":"Adetunde IA, Koduah M, Amporful JK, DwummohSarpong A, Nyarko PK, Ennin CC, Appiah ST, Oladejo N (2009) Epidemiology of Chlamydia bacteria infections\u2014a review. J Am Sci 5(4):55\u201364","journal-title":"J Am Sci"},{"key":"9234_CR2","doi-asserted-by":"crossref","first-page":"11698","DOI":"10.1073\/pnas.90.24.11698","volume":"90","author":"Z Agur","year":"1993","unstructured":"Agur Z, Cojocaru L, Mazor G, Anderson RM, Danon YL (1993) Pulse mass measles vaccination across age cohorts. Proc Natl Acad Sci USA 90:11698\u201311702","journal-title":"Proc Natl Acad Sci USA"},{"key":"9234_CR3","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1038\/280361a0","volume":"180","author":"RM Anderson","year":"1979","unstructured":"Anderson RM, May RM (1979) Population biology of infectious diseases. Part I. Nature 180:361\u2013367","journal-title":"Nature"},{"key":"9234_CR4","volume-title":"Infectious disease of humans, dynamical and control","author":"RM Anderson","year":"1992","unstructured":"Anderson RM, May RM (1992) Infectious disease of humans, dynamical and control. Oxford University Press, Oxford"},{"key":"9234_CR5","unstructured":"Averting HIV and AIDS (2010) STD statistics worldwide. http:\/\/www.avert.org\/stdstatisticsworldwide.htm . Accessed 08 Apr 2010"},{"key":"9234_CR6","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/S0065-3527(02)58002-7","volume":"58","author":"LA Babiuk","year":"2002","unstructured":"Babiuk LA, Babiuk SL, Baca-Estrada ME (2002) Novel vaccine strategies. Adv Virus Res 58:29\u201380","journal-title":"Adv Virus Res"},{"key":"9234_CR7","volume-title":"Impulsive differential equations: periodic solutions and applications","author":"DD Bainov","year":"1993","unstructured":"Bainov DD, Simeonov PS (1993) Impulsive differential equations: periodic solutions and applications. Longman Scientific and Technical, New York"},{"key":"9234_CR8","doi-asserted-by":"crossref","DOI":"10.1142\/2413","volume-title":"The stability theory of impulsive differential equations: asymptotic properties of the solutions","author":"DD Bainov","year":"1995","unstructured":"Bainov DD, Simeonov PS (1995) The stability theory of impulsive differential equations: asymptotic properties of the solutions. World Scientific, Singapore"},{"key":"9234_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3516-1","volume-title":"Mathematical models in population biology and epidemiology","author":"F Brauer","year":"2001","unstructured":"Brauer F, Castillo-Chavez C (2001) Mathematical models in population biology and epidemiology. Springer, Berlin"},{"key":"9234_CR10","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1016\/j.cam.2008.10.067","volume":"229","author":"L Cai","year":"2009","unstructured":"Cai L, Li X, Ghosh M, Guo B (2009) Stability of an HIV\/AIDS epidemic model with treatment. J Comput Appl Math 229:313\u2013323","journal-title":"J Comput Appl Math"},{"key":"9234_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-70514-7","volume-title":"Mathematical structures of epidemic systems, lectures notes in biomathematics","author":"V Capasso","year":"1993","unstructured":"Capasso V (1993) Mathematical structures of epidemic systems, lectures notes in biomathematics, vol 97. Springer, Berlin"},{"key":"9234_CR12","unstructured":"Centers for Disease Control and Prevention (2008a) Sexually transmitted diseases (Chlamydia fact sheet). http:\/\/www.cdc.gov\/std\/Chlamydia\/STDFact-Chlamydia.htm . Accessed 1 Apr 2008"},{"key":"9234_CR13","unstructured":"Centers for Disease Control and Prevention (2008b) Trends in reportable sexually transmitted diseases in the United States. http:\/\/www.cdc.gov\/std\/stats04\/trends2004.htm . Accessed 1 Apr 2008"},{"key":"9234_CR14","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1007\/s002850050051","volume":"35","author":"KL Cooke","year":"1996","unstructured":"Cooke KL, van Den Driessche P (1996) Analysis of an SEIRS epidemic model with two delays. J Math Biol 35:240\u2013260","journal-title":"J Math Biol"},{"key":"9234_CR15","volume-title":"Mathematical epidemiology of infectious diseases: model building analysis, and interpretation","author":"O Diekmann","year":"2000","unstructured":"Diekmann O, Heesterbeek JAP (2000) Mathematical epidemiology of infectious diseases: model building analysis, and interpretation. Wiley, Chichester"},{"key":"9234_CR16","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1016\/S0895-7177(02)00177-2","volume":"36","author":"A d\u2019Onofrio","year":"2002","unstructured":"d\u2019Onofrio A (2002a) Pulse vaccination strategy in the SIR epidemic model: global asymptotic stable eradication in presence of vaccine failures. Math Comput Model 36:473\u2013489","journal-title":"Math Comput Model"},{"key":"9234_CR17","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/S0025-5564(02)00095-0","volume":"179","author":"A d\u2019Onofrio","year":"2002","unstructured":"d\u2019Onofrio A (2002b) Stability properties of vaccination strategy in SEIR epidemic model. Math Biosci 179:57\u201372","journal-title":"Math Biosci"},{"key":"9234_CR18","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1016\/j.amc.2004.09.013","volume":"168","author":"A d\u2019Onofrio","year":"2005","unstructured":"d\u2019Onofrio A (2005) Vaccination policies and nonlinear force of infection. Appl Math Comput 168:613\u2013622","journal-title":"Appl Math Comput"},{"key":"9234_CR19","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1136\/sti.2004.009415","volume":"80","author":"KA Fenton","year":"2004","unstructured":"Fenton KA, Lowndes CM (2004) Recent trends in the epidemiology of sexually transmitted infections in the European Union. Sex Transm Infect 80:255\u2013263","journal-title":"Sex Transm Infect"},{"issue":"4","key":"9234_CR20","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1136\/sti.75.1.3","volume":"75","author":"DT Fleming","year":"1999","unstructured":"Fleming DT, Wasserheit JN (1999) From epidemiological synergy to public health policy and practice: the contribution of other sexually transmitted diseases to sexual transmission of HIV infection. Sex Transm Infect 75(4):3\u201317","journal-title":"Sex Transm Infect"},{"key":"9234_CR21","doi-asserted-by":"crossref","first-page":"626","DOI":"10.1016\/j.chaos.2006.05.054","volume":"35","author":"S Gakkhar","year":"2008","unstructured":"Gakkhar S, Negi K (2008) Pulse vaccination in SIRS epidemic model with non-monotonic incidence rate. Chaos Solitons Fract 35:626\u2013638","journal-title":"Chaos Solitons Fract"},{"key":"9234_CR22","doi-asserted-by":"crossref","first-page":"6037","DOI":"10.1016\/j.vaccine.2006.05.018","volume":"24","author":"S Gao","year":"2006","unstructured":"Gao S, Chen L, Nieto JJ, Torres A (2006) Analysis of a delayed epidemic model with pulse vaccination and saturation incidence. Vaccine 24:6037\u20136045","journal-title":"Vaccine"},{"key":"9234_CR23","doi-asserted-by":"crossref","first-page":"731","DOI":"10.1007\/s11538-006-9149-x","volume":"69","author":"S Gao","year":"2007","unstructured":"Gao S, Chen L, Teng Z (2007) Impulsive vaccination of an SEIRS model with time delay and varying total population size. Bull Math Biol 69:731\u2013745","journal-title":"Bull Math Biol"},{"key":"9234_CR24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3934\/mbe.2005.2.1","volume":"2","author":"J Gjorrgjieva","year":"2005","unstructured":"Gjorrgjieva J, Smith K, Chowell G, Sanchez F, Synder J, Castillo-Chavez C (2005) The role of vaccination in the control of SARS. Math Biosci Eng 2:1\u201317","journal-title":"Math Biosci Eng"},{"key":"9234_CR25","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1007\/BF00160539","volume":"29","author":"HW Hethcote","year":"1991","unstructured":"Hethcote HW, van Den Driessche P (1991) Some epidemiological models with nonlinear incidence. J Math Biol 29:271\u2013287","journal-title":"J Math Biol"},{"issue":"21","key":"9234_CR26","doi-asserted-by":"crossref","first-page":"1399","DOI":"10.1056\/NEJM199605233342111","volume":"334","author":"SD Hillis","year":"1996","unstructured":"Hillis SD, Wasserheit JN (1996) Screening for Chlamydia\u2014a key to the prevention of pelvic inflammatory disease. New Engl J Med 334(21):1399\u20131401","journal-title":"New Engl J Med"},{"key":"9234_CR27","doi-asserted-by":"crossref","first-page":"595","DOI":"10.3934\/dcdsb.2004.4.595","volume":"4","author":"J Hui","year":"2004","unstructured":"Hui J, Chen L (2004) Impulsive vaccination of SIR epidemic models with nonlinear incidence rates. Discret Contin Dyn Syst Ser B 4:595\u2013605","journal-title":"Discret Contin Dyn Syst Ser B"},{"issue":"4","key":"9234_CR28","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1097\/01.olq.0000158496.00315.04","volume":"32","author":"RH Kahn","year":"2005","unstructured":"Kahn RH, Mousure DJ, Chatlotte SB, Kent K, Chow JM, Boudov MR, Brock J, Tulloch S (2005) Chlamydia trachomatis and Neisseria gonorrhoeae prevalence and coinfection in adolescents entering selected US Juvenile Detention Centers, 1997\u20132002. Sex Transm Dis 32(4):255\u2013259","journal-title":"Sex Transm Dis"},{"issue":"5","key":"9234_CR29","doi-asserted-by":"crossref","first-page":"700","DOI":"10.1098\/rspa.1927.0118","volume":"115","author":"WO Kermack","year":"1927","unstructured":"Kermack WO, Mckendrick AG (1927) Contributions to the mathematical theory of epidemics. Part I Proc R Soc A 115(5):700\u2013721","journal-title":"Part I Proc R Soc A"},{"key":"9234_CR30","doi-asserted-by":"crossref","DOI":"10.1142\/0906","volume-title":"Theory of impulsive differential equations","author":"V Lakshmikantham","year":"1989","unstructured":"Lakshmikantham V, Bainov DD, Simeonov PS (1989) Theory of impulsive differential equations. World Scientific, Singapore"},{"key":"9234_CR31","doi-asserted-by":"crossref","first-page":"1141","DOI":"10.1016\/j.aml.2003.11.005","volume":"17","author":"W Ma","year":"2004","unstructured":"Ma W, Song M, Takeuchi Y (2004) Global stability of an SIR epidemic model with time delay. Appl Math Lett 17:1141\u20131145","journal-title":"Appl Math Lett"},{"key":"9234_CR32","doi-asserted-by":"crossref","first-page":"941","DOI":"10.1016\/j.bpobgyn.2006.06.003","volume":"20","author":"KA Manavi","year":"2006","unstructured":"Manavi KA (2006) Review on infection with Chlamydia trachomatis. Best Pract Res Clin Obstet Gynaecol 20:941\u2013951","journal-title":"Best Pract Res Clin Obstet Gynaecol"},{"key":"9234_CR33","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1007\/BF00173264","volume":"30","author":"J Mena-Lorca","year":"1992","unstructured":"Mena-Lorca J, Hethcote HW (1992) Dynamic models of infectious disease as regulators of population sizes. J Math Biol 30:693\u2013716","journal-title":"J Math Biol"},{"key":"9234_CR34","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1016\/j.amc.2006.07.124","volume":"186","author":"X Meng","year":"2007","unstructured":"Meng X, Chen L, Cheng H (2007) Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination. Appl Math Comput 186:516\u2013529","journal-title":"Appl Math Comput"},{"key":"9234_CR35","doi-asserted-by":"crossref","first-page":"2229","DOI":"10.1001\/jama.291.18.2229","volume":"291","author":"WC Miller","year":"2004","unstructured":"Miller WC, Ford CA, Morris M, Handcock MS, Schmitz JL, Hobbs MM, Cohen MS, Harris KM, Udry JR (2004) Prevalence of Chlamydial and gonococcal infections among young adults in the United States. JAMA 291:2229\u20132236","journal-title":"JAMA"},{"issue":"3","key":"9234_CR36","first-page":"295","volume":"4","author":"S Mushayabasa","year":"2012","unstructured":"Mushayabasa S (2012) The epidemiological consequences of Chlamydia and gonorrhea co-infection: insights from a mathematical model. Int J Appl Math Comput 4(3):295\u2013306","journal-title":"Int J Appl Math Comput"},{"key":"9234_CR37","doi-asserted-by":"crossref","first-page":"262","DOI":"10.1016\/j.amc.2005.11.041","volume":"178","author":"R Naresh","year":"2006","unstructured":"Naresh R, Tripathi A, Omar S (2006) Modelling of the spread of AIDS epidemic with vertical transmission. Appl Math Comput 178:262\u2013272","journal-title":"Appl Math Comput"},{"key":"9234_CR38","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1093\/imammb\/12.1.29","volume":"12","author":"DJ Nokes","year":"1995","unstructured":"Nokes DJ, Swinton J (1995) The control of childhood viral infections by pulse vaccination. IMA J Math Appl Med Biol 12:29\u201353","journal-title":"IMA J Math Appl Med Biol"},{"key":"9234_CR39","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1086\/589883","volume":"198","author":"DG Regan","year":"2008","unstructured":"Regan DG, Wilson DP, Hocking JS (2008) Coverage is the key for e.ective screening of Chlamydia trachomatis in Australia. J Infect Dis 198:349\u2013358","journal-title":"J Infect Dis"},{"key":"9234_CR40","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/S0022-0396(02)00089-X","volume":"188","author":"S Ruan","year":"2003","unstructured":"Ruan S, Wang W (2003) Dynamical behavior of an epidemic model with nonlinear incidence rate. J Differ Equ 188:135\u2013163","journal-title":"J Differ Equ"},{"key":"9234_CR41","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1097\/01.olq.0000149670.11953.ca","volume":"32","author":"JA Schillinger","year":"2005","unstructured":"Schillinger JA, Dunne EF, Chapin JB, Ellen JM, Gaydos CA, Willard NJ, Kent CK, Marrazzo JM, Klausner JD, Rietmeijer CA, Markowitz LE (2005) Prevalence of Chlamydia trachomatis infection among men screened in 4 U.S. cities. Sex Transm Dis 32:74\u201377","journal-title":"Sex Transm Dis"},{"issue":"1","key":"9234_CR42","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1016\/j.jmaa.2009.02.032","volume":"356","author":"O Sharomi","year":"2009","unstructured":"Sharomi O, Gumel AB (2009) Re-infection-induced backward bifurcation in the transmission dynamics of Chlamydia trachomatis. J Math Anal Appl 356(1):96\u2013118","journal-title":"J Math Anal Appl"},{"key":"9234_CR43","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/S0895-7177(00)00040-6","volume":"31","author":"L Stone","year":"2000","unstructured":"Stone L, Shulgin B, Agur Z (2000) Theoretical examination of the pulse vaccination policy in the SIR epidemic models. Math Comput Model 31:207\u2013215","journal-title":"Math Comput Model"},{"key":"9234_CR44","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/j.mbs.2005.12.012","volume":"201","author":"Y Takeuchi","year":"2006","unstructured":"Takeuchi Y, Cui J, Rinko M, Saito Y (2006a) Permanence of delayed population model with dispersal loss. Math Biosci 201:143\u2013156","journal-title":"Math Biosci"},{"key":"9234_CR45","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1016\/j.cam.2005.06.002","volume":"192","author":"Y Takeuchi","year":"2006","unstructured":"Takeuchi Y, Cui J, Rinko M, Saito Y (2006b) Permanence of dispersal population model with time delays. J Comp Appl Math 192:417\u2013430","journal-title":"J Comp Appl Math"},{"key":"9234_CR46","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1016\/j.na.2005.05.029","volume":"63","author":"S Tang","year":"2005","unstructured":"Tang S, Xiao Y, Clancy D (2005) New modelling approach concerning integrated disease control and cost-effectivity. Nonlinear Anal 63:439\u2013471","journal-title":"Nonlinear Anal"},{"key":"9234_CR47","doi-asserted-by":"crossref","DOI":"10.1515\/9780691187655","volume-title":"Mathematics in population biology","author":"HR Thieme","year":"2003","unstructured":"Thieme HR (2003) Mathematics in population biology. Princeton University Press, Princeton"},{"key":"9234_CR48","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1016\/S0893-9659(01)00153-7","volume":"15","author":"W Wang","year":"2002","unstructured":"Wang W (2002) Global behavior of an SEIRS epidemic model with time delays. Appl Math Lett 15:423\u2013428","journal-title":"Appl Math Lett"},{"key":"9234_CR49","doi-asserted-by":"crossref","unstructured":"Wei C, Chen L (2008) A delayed epidemic model with pulse vaccination. Discret Dyn Nat Soc Article ID 746951, 12 pp. doi: 10.1155\/2008\/746951","DOI":"10.1155\/2008\/746951"},{"key":"9234_CR50","unstructured":"World Health Organization (2001) Global prevalence and incidence of selected curable sexually transmitted infections overview and estimates. http:\/\/www.who.int\/docstore\/hiv\/GRSTI\/index.htm . Accessed 08 Apr 2010"},{"key":"9234_CR51","unstructured":"World Health Organization (2008) The world health report: changing history. http:\/\/www.who.int\/entity\/whr\/2004\/en\/report04_en.pdf . Accessed 1 Apr 2008"},{"key":"9234_CR52","unstructured":"World Health Organization (2010) Initiative for vaccine research (IVR): Chlamydia trachomatis. http:\/\/www.who.int\/vaccine_research\/diseases\/soa_std\/en\/index1.html . Accessed 5 March 2010"},{"key":"9234_CR53","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1016\/j.jtbi.2007.09.034","volume":"250","author":"T Zhang","year":"2008","unstructured":"Zhang T, Teng Z (2008) An SIRVS epidemic model with pulse vaccination strategy. J Theor Biol 250:375\u2013381","journal-title":"J Theor Biol"},{"key":"9234_CR54","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/S0895-7177(03)90088-4","volume":"38","author":"Y Zhou","year":"2003","unstructured":"Zhou Y, Liu H (2003) Stability of periodic solutions for an SIS model with pulse vaccination. Math Comput Model 38:299\u2013308","journal-title":"Math Comput Model"}],"container-title":["Acta Biotheoretica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10441-014-9234-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10441-014-9234-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10441-014-9234-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,15]],"date-time":"2023-07-15T16:40:25Z","timestamp":1689439225000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10441-014-9234-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7,31]]},"references-count":54,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,3]]}},"alternative-id":["9234"],"URL":"https:\/\/doi.org\/10.1007\/s10441-014-9234-8","relation":{},"ISSN":["0001-5342","1572-8358"],"issn-type":[{"value":"0001-5342","type":"print"},{"value":"1572-8358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7,31]]}}}