101. Global dynamics and control strategies of an epidemic model having logistic growth, non-monotone incidence with the impact of limited hospital beds
- Author
-
Pritam Saha and Uttam Ghosh
- Subjects
Aerospace Engineering ,Optimal control and efficiency analysis ,Ocean Engineering ,Saddle-node bifurcation ,Center manifold theorem ,symbols.namesake ,Transcritical bifurcation ,Maximum principle ,Applied mathematics ,Hopf bifurcation ,Electrical and Electronic Engineering ,Logistic function ,Nonlinear Sciences::Pattern Formation and Solitons ,Non-monotone incidence ,Bifurcation ,Mathematics ,Limited hospital beds ,Original Paper ,Applied Mathematics ,Mechanical Engineering ,Optimal control ,Control and Systems Engineering ,symbols ,Backward bifurcation ,Epidemic model - Abstract
In this paper, we have considered a deterministic epidemic model with logistic growth rate of the susceptible population, non-monotone incidence rate, nonlinear treatment function with impact of limited hospital beds and performed control strategies. The existence and stability of equilibria as well as persistence and extinction of the infection have been studied here. We have investigated different types of bifurcations, namely Transcritical bifurcation, Backward bifurcation, Saddle-node bifurcation and Hopf bifurcation, at different equilibrium points under some parametric restrictions. Numerical simulation for each of the above-defined bifurcations shows the complex dynamical phenomenon of the infectious disease. Furthermore, optimal control strategies are performed using Pontryagin's maximum principle and strategies of controls are studied for two infectious diseases. Lastly using efficiency analysis we have found the effective control strategies for both cases.
- Published
- 2020