Stability analysis of delayed SIR model with logistic growth and bilinear incidence rate
Abstract
We look at a system of delay differential equations for an SIR model with logistic and bilinear incidence rates in this study. The model demonstrates bifurcation, where a stable disease-free equilibrium (DFE) coexists with a stable endemic equilibrium, according to the research (EE). When the reproduction number determines the requirements for local equilibrium stability and Hopf bifurcation’s existence. In order to preserve the stability behaviour, we also performed a bifurcation analysis with an anticipated duration of delay. We used numerical simulations to demonstrate the theoretical results’ relevance and effectiveness.
Copyright © 2022 R. Jayananthan, K. Krishnan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
R. Jayananthan, K. Krishnan, Stability analysis of delayed SIR model with logistic growth and bilinear incidence rate, J. Math. Comput. Sci. 12 (2022), 124. https://doi.org/10.28919/jmcs/7275
BibTeX
@article{Jayananthan2022,
author = {Jayananthan, R. and Krishnan, K.},
title = {Stability analysis of delayed SIR model with logistic growth and bilinear incidence rate},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {124},
doi = {10.28919/jmcs/7275}
}