Analysis of a Dengue Disease Model with Nonlinear Incidence

被引：6
|
作者：
Guo, Shu-Min [1 ]
Li, Xue-Zhi [2 ]
Ghosh, Mini [3 ]
机构：
[1] Shaoguan Univ, Dept Math & Informat Sci, Shaoguan 512005, Peoples R China
[2] Xinyang Normal Univ, Dept Math, Xinyang 464000, Peoples R China
[3] VIT Univ, Sch Adv Sci, Madras 600048, Tamil Nadu, India
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2013年 / 2013卷
关键词：
EPIDEMIC MODEL;
D O I：
10.1155/2013/320581
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：10
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