Dynamical analysis of an age-space structured malaria epidemic model

DOI10.1007/S00033-023-02097-4zbMath1526.35213OpenAlexW4387420040MaRDI QIDQ6080416

Meiyu Cao, Toshikazu Kuniya, Jinliang Wang

Publication date: 30 October 2023

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-023-02097-4

zbMATH Keywords

global asymptotic stabilitybasic reproduction numberthreshold dynamicsmalaria model

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Unnamed Item
• A reaction-diffusion malaria model with incubation period in the vector population
• A vector-bias malaria model with incubation period and diffusion
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain
• Dynamical systems and evolution equations. Theory and applications
• A reaction-diffusion malaria model with seasonality and incubation period
• Robust persistence for semidynamical systems.
• Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes
• Analysis of a malaria epidemic model with age structure and spatial diffusion
• On the global attractivity for a reaction-diffusion malaria model with incubation period in the vector population
• Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition
• Threshold dynamics of an age-space structured brucellosis disease model with Neumann boundary condition
• Threshold dynamics of a vector-borne disease model with spatial structure and vector-bias
• A Periodic Vector-Bias Malaria Model with Incubation Period
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Spatial Ecology via Reaction‐Diffusion Equations
• On a vector-host epidemic model with spatial structure
• Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
• Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
• An infection age-space structured SIR epidemic model with Neumann boundary condition
• Global threshold dynamics of an infection age-space structured HIV infection model with Neumann boundary condition
• Threshold dynamics of an age-space structure vector-borne disease model with multiple transmission pathways

This page was built for publication: Dynamical analysis of an age-space structured malaria epidemic model