ArticleNonlinear dynamics2021
Global dynamics and control strategies of an epidemic model having logistic growth, non-monotone incidence with the impact of limited hospital beds.
Article in Nonlinear dynamics, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Analysis of tomato bacterial wilt transmission dynamics with behavioral responses: A mathematical and optimal control approach.Parasite epidemiology and control · 2026Article
- Analysis of an SIR model: preventive measures, bounded multiplicative random perturbations and optimal control strategies.Scientific reports · 2026Article
- Analysis, control, and forecasting the dynamics of SIRD models with saturated treatment and nonlinear incidence.Scientific reports · 2026Article
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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.
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