Analysis of a Dengue Disease Model with Nonlinear Incidence | Zendy

Shu-Min Guo | Zendy; Xue-Zhi Li | Zendy; Mini Ghosh | Zendy

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Analysis of a Dengue Disease Model with Nonlinear Incidence

Author(s) -

Shu-Min Guo,

Xue-Zhi Li,

Mini Ghosh

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/320581

Subject(s) - dengue fever , nonlinear system , stability (learning theory) , bifurcation , incidence (geometry) , epidemic model , mathematics , control theory (sociology) , computer science , physics , virology , geometry , medicine , population , artificial intelligence , environmental health , control (management) , quantum mechanics , machine learning

A dengue disease epidemic model with nonlinear incidence is formulated and analyzed. The equilibria and threshold of the model are found. The stability of the system is analyzed through a geometric approach to stability. The proposed model also exhibits backward bifurcation under suitable conditions on parameters. Our results imply that a nonlinear incidence produces rich dynamics and they should be studied carefully in order to analyze the spread of disease more accurately. Finally, numerical simulations are presented to illustrate the analytical findings

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