Analysis of a malaria epidemic model with age structure and spatial diffusion

DOI10.1007/s00033-021-01511-zzbMath1464.35383OpenAlexW3135968983MaRDI QIDQ2026496

Yanyan Li

Publication date: 19 May 2021

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

Full work available at URL: https://doi.org/10.1007/s00033-021-01511-z

zbMATH Keywords

global stabilitybasic reproduction numbermalaria modelspatial heterogeneityage-space structured

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Scattering theory for PDEs (35P25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

Traveling wave solutions for Zika transmission model with nonlocal diffusion ⋮ Threshold dynamics of a Zika model with environmental and sexual transmissions and spatial heterogeneity ⋮ Dynamical analysis of a reaction-diffusion vector-borne disease model incorporating age-space structure and multiple transmission routes ⋮ Traveling waves for a four‐compartment lattice epidemic system with exposed class and standard incidence ⋮ Dynamical analysis of an age-space structured malaria epidemic model ⋮ Wave propagation for a discrete diffusive mosquito-borne epidemic model ⋮ Spatio-temporal dynamics of an age-space structured cholera model with bacterial hyperinfectivity and imperfect vaccination ⋮ Threshold dynamics of an age-space structure vector-borne disease model with multiple transmission pathways ⋮ Hopf Bifurcation of an Age-Structured Epidemic Model with Quarantine and Temporary Immunity Effects ⋮ Traveling waves for a diffusive mosquito-borne epidemic model with general incidence

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