THE DYNAMICS OF THE SEIR EPIDEMIC MODEL UNDER THE INFLUENCE OF DELAY
Communications in Mathematical Biology and Neuroscience, ISSN: 2052-2541, Vol: 2022
2022
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Article Description
An SEIR delayed epidemic model with nonlinear incidence and treatment rates is proposed and investigated. There is a realistic zone where the model's solutions are non-negative and bounded for all time. The stability of the two equilibrium points is explored both locally and globally. The stability and direction of Hopf-bifurcation are established using the normal form and center manifold reduction of the system. Finally, a numerical simulation to back up our analytical findings is used. The system has at most two equilibrium points, and when the delay surpasses a certain value, it exhibits a Hopf bifurcation.
Bibliographic Details
SCIK Publishing Corporation
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