Dynamics of a diffusive vaccination model with therapeutic impact and non-linear incidence in epidemiology

DOI10.1080/17513758.2020.1849831zbMath1484.92055OpenAlexW3106148249WikidataQ102145922 ScholiaQ102145922MaRDI QIDQ5862029

Shahriar Mahmud M.D., Md. Shafiqul Islam, Md. Kamrujjaman

Publication date: 4 March 2022

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2020.1849831

zbMATH Keywords

global stabilitylocal stabilityuniform persistencenonlinear incidencethreshold valuespatial vaccination model

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Medical epidemiology (92C60)

Cites Work

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• A reaction-diffusion malaria model with incubation period in the vector population
• Multiple stable recurrent outbreaks and predictability in seasonally forced nonlinear epidemic models
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Geometric theory of semilinear parabolic equations
• A generalization of the Kermack-McKendrick deterministic epidemic model
• A diffusive epidemic model with criss-cross dynamics
• A qualitative study of a vaccination model with non-linear incidence
• Mathematical biology. Vol. 1: An introduction.
• Stability and traveling waves of a vaccination model with nonlinear incidence
• Theory and applications of partial functional differential equations
• Robust persistence for semidynamical systems.
• Dynamics of a diffusive vaccination model with nonlinear incidence
• Qualitative analysis and optimal control of an epidemic model with vaccination and treatment
• Dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate
• Threshold dynamics of a diffusive SIRI model with nonlinear incidence rate
• Generalizations of some stochastic epidemic models
• A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
• Global Existence for Semilinear Parabolic Systems
• Nonlinear Oscillations in Epidemic Models
• Spatial Ecology via Reaction‐Diffusion Equations
• An Introduction to Mathematical Epidemiology
• DYNAMICS OF A VIRAL INFECTIOLOGY UNDER TREATMENT

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