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India | Mathematics | Volume 12 Issue 5, May 2023 | Pages: 2586 - 2593
Stability and Bifurcation Analysis of a Delayed SEIR Epidemic Model with Self-Protection
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
How to Cite?: Palash Mandal, "Stability and Bifurcation Analysis of a Delayed SEIR Epidemic Model with Self-Protection", Volume 12 Issue 5, May 2023, International Journal of Science and Research (IJSR), Pages: 2586-2593, https://www.ijsr.net/getabstract.php?paperid=SR23527065747, DOI: https://dx.doi.org/10.21275/SR23527065747