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In this paper, we propose a fractional SIRS model with homogenous networks. The disease-free equilibrium point E0$E_{0}$ is locally and globally asymptotically stable for R01\ $ (the disease is uniformly… Click to show full abstract
In this paper, we propose a fractional SIRS model with homogenous networks. The disease-free equilibrium point E0$E_{0}$ is locally and globally asymptotically stable for R0<1$R_{0}<1$ (the disease always disappears), and endemic equilibrium point E1$E_{1}$ is uniquely locally and globally asymptotically stable, but E0$E_{0}$ is unstable for R0>1$R_{0}>1\ $ (the disease is uniformly persistent). The main results are demonstrated by numerical simulation.
Keywords:
sirs model;
analysis fractional;
fractional sirs;
dynamical analysis;
homogenous networks;
model homogenous
Journal Title: Advances in Difference Equations
Year Published: 2019
Link to full text (if available)
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Journal Title: Advances in Difference Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!