Dynamic Analysis of an SIRS Model with Nonlinear Incidence Rate
2012 ◽
Vol 155-156
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pp. 23-26
Keyword(s):
In this paper, we study the global dynamics of an SIRS epidemic model with nonlinear inci- dence rate. By means of Dulac function and Poincare-Bendixson Theorem, we proved the global asy- mptotical stable results of the disease-free equilibrium. It is then obtained the model undergoes Hopf bifurcation and existence of one limit cycle. Some numerical simulations are given to illustrate the an- alytical results.
2012 ◽
Vol 479-481
◽
pp. 1495-1498
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2015 ◽
Vol 2015
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pp. 1-9
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2016 ◽
Vol 17
(7-8)
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pp. 401-412
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2014 ◽
Vol 2014
◽
pp. 1-10
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Keyword(s):
2009 ◽
Vol 2009
◽
pp. 1-13
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