On the global stability of a generalized cholera epidemiological model

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On the global stability of a generalized cholera epidemiological model

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dc.contributor.author Cheng, Yuanji
dc.contributor.author Wang, Jin
dc.contributor.author Yang, Xiuxiang
dc.date.accessioned 2012-12-05T14:21:59Z
dc.date.available 2012-12-05T14:21:59Z
dc.date.issued 2012 en_US
dc.identifier.citation 1088-1104 en_US
dc.identifier.issn 1751-3758 en_US
dc.identifier.uri http://hdl.handle.net/2043/14482
dc.description.abstract In this paper, we conduct a careful global stability analysis for a generalized cholera epidemiological model originally proposed in [J. Wang and S. Liao, A generalized cholera model and epidemic/endemic analysis, J. Biol. Dyn. 6 (2012), pp. 568–589]. Cholera is a water- and food-borne infectious disease whose dynamics are complicated by the multiple interactions between the human host, the pathogen, and the environment. Using the geometric approach, we rigorously prove the endemic global stability for the cholera model in three-dimensional (when the pathogen component is a scalar) and four-dimensional (when the pathogen component is a vector) systems. This work unifies the study of global dynamics for several existing deterministic cholera models. The analytical predictions are verified by numerical simulation results. en_US
dc.language.iso eng en_US
dc.publisher Taylor & Francis en_US
dc.subject Cholera modelling en_US
dc.subject Global asymptotic stability en_US
dc.subject Geometric approach en_US
dc.subject.classification Sciences en_US
dc.title On the global stability of a generalized cholera epidemiological model en_US
dc.type Article, peer reviewed scientific en_US
dc.contributor.department Malmö University. School of Technology en
dc.identifier.doi http://dx.doi.org/10.1080/17513758.2012.728635 en_US
dc.subject.srsc Research Subject Categories::MATHEMATICS en_US
dc.identifier.url http://www.tandfonline.com/loi/tjbd20 en_US
dc.relation.ispartofpublication Journal of Biological Dynamics;2
dc.relation.ispartofpublicationvolume 6 en_US
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