Stability and Hopf Bifurcation of an Epidemic Model With Logistic Growth and Delay
DOI:
https://doi.org/10.5890/DNC.2019.12.003Abstract
In this work, we propose and analyze a delayed epidemic model with logistic growth, in which the growth of susceptible individuals is governed by the logistic equation and the delay represents the latent period of the disease. Firstly, we prove that our model is mathematically and biologically well posed. In addition, the stability of equilibria and the existence of Hopf bifurcation are established. Moreover, several epidemic models existing in the previous studies are extended and generalized. Finally, some numerical simulations are given to illustrate our main results.References
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