Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment

DOI10.1051/mmnp/2021004zbMath1475.37101OpenAlexW3119098525MaRDI QIDQ5001049

Uttam Ghosh, Prahlad Majumdar, Jayanta K. Ghosh

Publication date: 16 July 2021

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2021004

zbMATH Keywords

optimal controltranscritical bifurcationlogistic growthBogdanov-Takens bifurcationefficiency analysisbackward bifurcationnon-hyperbolic equilibrium pointnon-monotonic incidence

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)

Related Items (5)

An SIRS model with nonmonotone incidence and saturated treatment in a changing environment ⋮ Modeling and analysis of SIR epidemic dynamics in immunization and cross-infection environments: Insights from a stochastic model ⋮ Bifurcation analysis of an SIR model considering hospital resources and vaccination ⋮ Global asymptotic stability of endemic equilibria for a diffusive SIR epidemic model with saturated incidence and logistic growth ⋮ Hopf bifurcation and stability switches in an infectious disease model with incubation delay, information, and saturated treatment

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