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 Global dynamics of the SIQ epidemic model with the B-D nonlinear incidence rate(PDF)


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 Global dynamics of the SIQ epidemic model with the B-D nonlinear incidence rate
 MA Fangqiang FENG XiaozhouMA Xiaoli
 College of Science,Xi’an Technological University, Xi’an 710032, China
 nonlinear incidence rate threshold value equilibrium point globally stable
O 175.26
The global stability of the SIQ epidemics model with the B-D nonlinear incidence rate is researched. The threshold value R have been obtained and it shows that there is only a diseasefree equilibrium point when R<1, and there is also an endemic equilibrium point if R>1. With the help of Lyapunov function, some results about the global stability of disease free and endemic equilibrium points have been established, which are applicable for non-monotone, non-concave incidence rate.


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Last Update: 2016-10-08