Endemic dynamics in a host-parasite epidemiological model within spatially heterogeneous environment

DOI10.1016/J.AML.2016.05.011zbMath1348.35279OpenAlexW2412997380MaRDI QIDQ308925

Yongli Cai, Zhaojuan Wang, Weiming Wang

Publication date: 6 September 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.05.011

zbMATH Keywords

positive stationary solutionbounded continuumparasite-driven extinctionparasite-free

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (4)

Global stability of the steady states of an epidemic model incorporating intervention strategies ⋮ Optimality for a diffusive predator-prey system in a spatially heterogeneous environment incorporating a prey refuge ⋮ Stability analysis of a reaction-diffusion heroin epidemic model ⋮ Global dynamics of a Leslie host-parasite model

Cites Work

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• Deriving reaction-diffusion models in ecology from interacting particle systems
• Persistence and bifurcation of degenerate solutions
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues

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