Stability and bifurcation analysis in a discrete SIR epidemic model

2014 ◽  
Vol 97 ◽  
pp. 80-93 ◽  
Author(s):  
Zengyun Hu ◽  
Zhidong Teng ◽  
Long Zhang
Keyword(s):  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Stability And Bifurcation ◽  
Stability And Bifurcation Analysis

Stability and Bifurcation Analysis in a Discrete-Time SIR Epidemic Model with Fractional-Order

2019 ◽  
Vol 20 (3-4) ◽  
pp. 339-350 ◽  
Author(s):  
Moustafa El-Shahed ◽  
Ibrahim M. E. Abdelstar
Keyword(s):  
Fractional Order ◽  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Equilibrium Points ◽  
Dynamical Behavior ◽  
Flip Bifurcation ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Stability And Bifurcation ◽  
Stability And Bifurcation Analysis

AbstractIn this paper, the dynamical behavior of a discrete SIR epidemic model with fractional-order with non-monotonic incidence rate is discussed. The sufficient conditions of the locally asymptotic stability and bifurcation analysis of the equilibrium points are also discussed. The numerical simulations come to illustrate the dynamical behaviors of the model such as flip bifurcation, Hopf bifurcation and chaos phenomenon. The results of numerical simulation verify our theoretical results.

Stability and bifurcation analysis of an epidemic model with the effect of media

2019 ◽  
Vol 120 ◽  
pp. 188-199 ◽  
Author(s):  
T.K. Kar ◽  
Swapan Kumar Nandi ◽  
Soovoojeet Jana ◽  
Manotosh Mandal
Keyword(s):  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Stability And Bifurcation ◽  
Stability And Bifurcation Analysis
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