Stability and Bifurcation Analysis of an SIS Epidemic Model with Treatment Presented by Fractional Derivative

2010 ◽  
Author(s):  
G. Hossian Erjaei ◽  
Modi Alnasr
Keyword(s):  
Fractional Derivative ◽  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Sis Epidemic Model ◽  
Stability And Bifurcation ◽  
Stability And Bifurcation Analysis ◽  
Sis Epidemic

scholarly journals The bifurcation analysis and optimal feedback mechanism for an SIS epidemic model on networks

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Lijuan Chen ◽  
Shouying Huang ◽  
Fengde Chen ◽  
Mingjian Fu
Keyword(s):  
Optimal Control ◽  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Feedback Mechanism ◽  
Optimal Control Strategy ◽  
Optimal Feedback ◽  
Sis Epidemic Model ◽  
Vital Effect ◽  
Bifurcation Behavior ◽  
Sis Epidemic

AbstractIt is well known that the feedback mechanism or the individual’s intuitive response to the epidemic can have a vital effect on the disease’s spreading. In this paper, we investigate the bifurcation behavior and the optimal feedback mechanism for an SIS epidemic model on heterogeneous networks. Firstly, we present the bifurcation analysis when the basic reproduction number is equal to unity. The direction of bifurcation is also determined. Secondly, different from the constant coefficient in the existing literature, we incorporate a time-varying feedback mechanism coefficient. This is more reasonable since the initiative response of people is constantly changing during different process of disease prevalence. We analyze the optimal feedback mechanism for the SIS epidemic network model by applying the optimal control theory. The existence and uniqueness of the optimal control strategy are obtained. Finally, a numerical example is presented to verify the efficiency of the obtained results. How the topology of the network affects the optimal feedback mechanism is also discussed.

Stability and bifurcation of an SIS epidemic model with treatment

2009 ◽  
Vol 42 (5) ◽  
pp. 2822-2832 ◽  
Author(s):  
Xue-Zhi Li ◽  
Wen-Sheng Li ◽  
Mini Ghosh
Keyword(s):  
Epidemic Model ◽  
Sis Epidemic Model ◽  
Stability And Bifurcation ◽  
Sis Epidemic
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