{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T23:35:51Z","timestamp":1791588951728,"version":"4.3.4"},"reference-count":32,"publisher":"Elsevier BV","content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Mathematical Biosciences"],"published-print":{"date-parts":[[2014,2]]},"DOI":"10.1016\/j.mbs.2013.12.009","type":"journal-article","created":{"date-parts":[[2014,1,13]],"date-time":"2014-01-13T22:32:10Z","timestamp":1389652330000},"page":"128-139","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":35,"special_numbering":"C","title":["Analysis of an asymmetric two-strain dengue model"],"prefix":"10.1016","volume":"248","author":[{"given":"Bob W.","family":"Kooi","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ma\u00edra","family":"Aguiar","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nico","family":"Stollenwerk","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.mbs.2013.12.009_b0005","doi-asserted-by":"crossref","first-page":"14234","DOI":"10.1073\/pnas.0602768103","article-title":"Cross-protective immunity can account for the alternating epidemic pattern of dengue virus serotypes circulating in Bangkok","volume":"103","author":"Adams","year":"2006","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10.1016\/j.mbs.2013.12.009_b0010","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.tpb.2009.06.001","article-title":"Antigenic distance and cross-immunity, invasibility and coexistence of pathogen strains in an epidemiological model with discrete antigenic space","volume":"76","author":"Adams","year":"2009","journal-title":"Theor. Popul. Biol."},{"key":"10.1016\/j.mbs.2013.12.009_b0015","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/j.jtbi.2011.08.043","article-title":"The role of seasonality and import in a minimalistic multi-strain dengue model capturing differences between primary and secondary infections: complex dynamics and its implications for data analysis","volume":"289","author":"Aguiar","year":"2011","journal-title":"J. Theor. Biol."},{"issue":"4","key":"10.1016\/j.mbs.2013.12.009_b0020","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1051\/mmnp:2008070","article-title":"Epidemiology of dengue fever: a model with temporary cross-immunity and possible secondary infection shows bifurcations and chaotic behaviour in wide parameter regions","volume":"3","author":"Aguiar","year":"2008","journal-title":"Math. Model. Nat. Phenom."},{"issue":"10\/11","key":"10.1016\/j.mbs.2013.12.009_b0025","doi-asserted-by":"crossref","first-page":"1867","DOI":"10.1080\/00207160902783532","article-title":"Torus bifurcations, isolas and chaotic attractors in a simple dengue fever model with ade and temporary cross immunity","volume":"86","author":"Aguiar","year":"2009","journal-title":"Int. J. Comput. Math."},{"key":"10.1016\/j.mbs.2013.12.009_b0030","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1051\/mmnp\/20127301","article-title":"Scaling of stochasticity in dengue hemorrhagic fever epidemics","volume":"7","author":"Aguiar","year":"2012","journal-title":"Math. Model. Nat. Phenom."},{"key":"10.1016\/j.mbs.2013.12.009_b0035","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1016\/j.mbs.2013.04.001","article-title":"A simple periodic-forced model for dengue fitted to incidence data in Singapore","volume":"244","author":"Andraud","year":"2013","journal-title":"Math. Biosci."},{"key":"10.1016\/j.mbs.2013.12.009_b0040","doi-asserted-by":"crossref","first-page":"043123","DOI":"10.1063\/1.3270261","article-title":"Epidemics with multistrain interactions: The interplay between cross immunity and antibody-dependent enhancement","volume":"19","author":"Bianco","year":"2009","journal-title":"Chaos"},{"key":"10.1016\/j.mbs.2013.12.009_b0045","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1016\/j.jtbi.2006.12.023","article-title":"Instabilities in multiserotype disease models with antibody-dependent enhancement","volume":"246","author":"Billings","year":"2007","journal-title":"J. Theor. Biol."},{"issue":"42","key":"10.1016\/j.mbs.2013.12.009_b0050","doi-asserted-by":"crossref","first-page":"15259","DOI":"10.1073\/pnas.0507320102","article-title":"Dynamic effects of antibody-dependent enhancement on the fitness of viruses","volume":"102","author":"Cummings","year":"2005","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10.1016\/j.mbs.2013.12.009_b0060","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1145\/779359.779362","article-title":"Matcont: a MATLAB package for numerical bifurcation analysis of ODEs","volume":"29","author":"Dhooge","year":"2003","journal-title":"ACM Trans. Math. Software"},{"key":"10.1016\/j.mbs.2013.12.009_b0075","unstructured":"E.J. Doedel, B. Oldeman, Auto 07p: continuation and bifurcation software for ordinary differential equations, Technical report, Concordia University, Montreal, Canada, 2009."},{"issue":"9","key":"10.1016\/j.mbs.2013.12.009_b0080","doi-asserted-by":"crossref","first-page":"790","DOI":"10.1073\/pnas.96.2.790","article-title":"The effect of antibody-dependent enhancement on the transmission dynamics and persistence of multiple-strain pathogens","volume":"96","author":"Ferguson","year":"1999","journal-title":"Proc. Natl. Acad. Sci. USA"},{"issue":"5","key":"10.1016\/j.mbs.2013.12.009_b0085","doi-asserted-by":"crossref","first-page":"910","DOI":"10.4269\/ajtmh.2007.77.910","article-title":"Analysis of repeat hospital admissions for dengue to estimate the frequency of third or fourth dengue infections resulting in admissions and dengue hemorrhagic fever and serotype sequences","volume":"77","author":"Gibbons","year":"2007","journal-title":"Am. J. Trop. Med. Hyg."},{"key":"10.1016\/j.mbs.2013.12.009_b0090","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/S0966-842X(01)02288-0","article-title":"Epidemic dengue\/dengue hemorrhagic fever as a public health, social and economic problem in the 21st century","volume":"10","author":"Gubler","year":"2002","journal-title":"Trends Microbiol."},{"key":"10.1016\/j.mbs.2013.12.009_b0095","series-title":"Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields","volume":"vol. 42","author":"Guckenheimer","year":"1985"},{"key":"10.1016\/j.mbs.2013.12.009_b0100","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1016\/j.jtbi.2012.11.021","article-title":"The effect of antibody-dependent enhancement, cross immunity and vector population on the dynamics of dengue fever","volume":"319","author":"Hu","year":"2013","journal-title":"J. Theor. Biol."},{"key":"10.1016\/j.mbs.2013.12.009_b0105","doi-asserted-by":"crossref","first-page":"5860","DOI":"10.1016\/j.vaccine.2011.06.042","article-title":"Models of the impact of dengue vaccines: a review of current research and potential approaches","volume":"29","author":"Johansson","year":"2011","journal-title":"Vaccine"},{"key":"10.1016\/j.mbs.2013.12.009_b0110","doi-asserted-by":"crossref","first-page":"2241","DOI":"10.1098\/rspb.2003.2440","article-title":"Why are dengue virus serotypes so distantly related? Enhancement and limiting serotype similarity between dengue virus strains","volume":"270","author":"Kawaguchi","year":"2003","journal-title":"Proc. R. Soc. Lond. Ser. B"},{"key":"10.1016\/j.mbs.2013.12.009_b0115","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1016\/j.cam.2012.08.008","article-title":"Bifurcation analysis of a family of multi-strain epidemiology models","volume":"252","author":"Kooi","year":"2013","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.mbs.2013.12.009_b0120","series-title":"Elements of Applied Bifurcation Theory","volume":"vol. 112","author":"Kuznetsov","year":"2004"},{"key":"10.1016\/j.mbs.2013.12.009_b0125","unstructured":"Maple, Maple software, Maplesoft, Waterloo, Ontario, Canada, 2008."},{"key":"10.1016\/j.mbs.2013.12.009_b0130","unstructured":"Matlab, Matlab package, The MathWorks, Natick, Massachusetts, USA, 2008."},{"key":"10.1016\/j.mbs.2013.12.009_b0135","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/j.jtbi.2013.04.036","article-title":"Breaking the symmetry: immune enhancement increases persistence of dengue viruses in the presence of asymmetric transmission rates","volume":"332","author":"Mier-y-Teran-Romero","year":"2013","journal-title":"J. Theor. Biol."},{"issue":"6","key":"10.1016\/j.mbs.2013.12.009_b0140","doi-asserted-by":"crossref","first-page":"2793","DOI":"10.1128\/JCM.43.6.2793-2797.2005","article-title":"Discrimination between primary and secondary dengue virus infection by an immunoglobulin G avidity test using a single acute-phase serum sample","volume":"43","author":"Matheus","year":"2005","journal-title":"J. Clin. Microbiol."},{"key":"10.1016\/j.mbs.2013.12.009_b0145","doi-asserted-by":"crossref","first-page":"2238","DOI":"10.1073\/pnas.0709029105","article-title":"Decreases in dengue transmission may act to increase the incidence of dengue hemorrhagic fever","volume":"105","author":"Nagao","year":"2008","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10.1016\/j.mbs.2013.12.009_b0150","doi-asserted-by":"crossref","first-page":"066201","DOI":"10.1103\/PhysRevE.72.066201","article-title":"Chaotic de-synchronization of multi-strain diseases","volume":"72","author":"Schwartz","year":"2005","journal-title":"Phys. Rev. E"},{"key":"10.1016\/j.mbs.2013.12.009_b0155","series-title":"Practical Bifurcation and Stability Analysis \u2013 From Equilibrium to Chaos","author":"Seydel","year":"1994"},{"issue":"2","key":"10.1016\/j.mbs.2013.12.009_b0160","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1098\/rsfs.2011.0103","article-title":"Dynamic noise, chaos and parameter estimation in population biology","volume":"2","author":"Stollenwerk","year":"2012","journal-title":"Interf. Focus"},{"key":"10.1016\/j.mbs.2013.12.009_b0170","doi-asserted-by":"crossref","first-page":"11802","DOI":"10.1073\/pnas.0602960103","article-title":"Ecological and immunological determinants of dengue epidemics","volume":"103","author":"Wearing","year":"2006","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10.1016\/j.mbs.2013.12.009_b0175","unstructured":"WHO, Dengue and dengue hemorrhagic fever, fact sheet 117, Technical report, World Health Organization, 2009."},{"key":"10.1016\/j.mbs.2013.12.009_b0180","series-title":"Introduction to Applied Nonlinear Dynamical Systems and Chaos","volume":"vol. 2","author":"Wiggins","year":"1990"}],"container-title":["Mathematical Biosciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0025556414000030?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0025556414000030?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T08:59:58Z","timestamp":1565081998000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0025556414000030"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,2]]},"references-count":32,"alternative-id":["S0025556414000030"],"URL":"https:\/\/doi.org\/10.1016\/j.mbs.2013.12.009","relation":{},"ISSN":["0025-5564"],"issn-type":[{"value":"0025-5564","type":"print"}],"subject":[],"published":{"date-parts":[[2014,2]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Analysis of an asymmetric two-strain dengue model","name":"articletitle","label":"Article Title"},{"value":"Mathematical Biosciences","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.mbs.2013.12.009","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2014 Elsevier Inc. All rights reserved.","name":"copyright","label":"Copyright"}]}}