Qualitative analysis and optimal control strategy of an SIR model with saturated incidence and treatment

DOI10.1007/s12591-019-00486-8OpenAlexW2969245309MaRDI QIDQ2686629

Susmita Sarkar, Jayanta K. Ghosh, Uttam Ghosh, Md. Haider Ali Biswas

Publication date: 28 February 2023

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05954

zbMATH Keywords

optimal controltranscritical bifurcationefficiency analysisbackward bifurcationinhibitory factors

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Existence theories for optimal control problems involving ordinary differential equations (49J15)

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• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
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• Backward bifurcation of an epidemic model with treatment
• An Introduction to Mathematical Epidemiology

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