Stability and Hopf Bifurcation Analysis of a Fractional-Order Epidemic Model with Time Delay

Zhen Wang and Xinhe Wang

Mathematical Problems in Engineering, 2018, vol. 2018, 1-8

Abstract:

A fractional-order epidemic model with time delay is considered. Firstly, stability of the disease-free equilibrium point and endemic equilibrium point is studied. Then, by choosing the time delay as a bifurcation parameter, the existence of Hopf bifurcation is studied. Finally, numerical simulations are given to illustrate the effectiveness and feasibility of theoretical results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2308245

DOI: 10.1155/2018/2308245

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