Stability and bifurcation analysis of an infectious disease model with different optimal control strategies

DOI10.1016/j.matcom.2023.05.024WikidataQ123367436 ScholiaQ123367436MaRDI QIDQ6094005

Uma S. Dubey, Arjun Kumar, Ashvini Gupta, Balram Dubey

Publication date: 12 September 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

optimal controlstability analysissensitivity analysisbifurcationbasic reproduction numberepidemic model

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Ordinary differential equations (34-XX)

Cites Work

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• Analysis of stability and bifurcation for an SEIR epidemic model with saturated recovery rate
• Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
• Backward bifurcation of an epidemic model with saturated treatment function
• Stability and bifurcation of an SIR epidemic model with nonlinear incidence and treatment
• Bifurcations in an epidemic model with constant removal rate of the infectives
• A simple SIS epidemic model with a backward bifurcation
• Dynamical models of tuberculosis and their applications
• Differential equations. Classical to controlled
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Co-dynamics of measles and dysentery diarrhea diseases with optimal control and cost-effectiveness analysis
• Dynamics of an SEIR epidemic model with nonlinear incidence and treatment rates
• Optimal control of infectious disease: information-induced vaccination and limited treatment
• Optimal strategy of vaccination \& treatment in an \textit{SIR} epidemic model
• Qualitative analysis and optimal control of an epidemic model with vaccination and treatment
• Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate
• Dynamical model of epidemic along with time delay; Holling type II incidence rate and Monod-Haldane type treatment rate
• Bifurcations and complex dynamics of an SIR model with the impact of the number of hospital beds
• Models for the spread of universally fatal diseases
• The Mathematics of Infectious Diseases
• Mathematical Models in Population Biology and Epidemiology
• Modelling the potential impact of limited hospital beds on Ebola virus disease dynamics
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Modeling the recent outbreak of COVID-19 in India and its control strategies
• An SIR Model with Nonlinear Incidence Rate and Holling Type III Treatment Rate

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