International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 12 Issue 5, May 2023


Stability and Bifurcation Analysis of a Delayed SEIR Epidemic Model with Self-Protection

Palash Mandal [2]


Abstract: A delayed SEIR epidemic model with self-protection is considered. The local asymptotic stability of the disease free equilibrium is ensured for R0 < 1 and it is unstable otherwise. Whereas, for R0 > 1, the proposed model has the unique endemic equilibrium point. For delay values, the local asymptotic stability of the unique endemic equilibrium is established under some parametric constraints. Further, the occurrence of Hopf bifurcation is also observed when the delay crosses some parameter threshold. The analytical findings are supported by the numerical observations.


Keywords: Disease transmission, Basic reproduction numbers, Delay, Hopf-bifurcation


Edition: Volume 12 Issue 5, May 2023,


Pages: 2586 - 2593


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