Threshold dynamics in a time-delayed epidemic model with dispersal

DOI10.1016/j.mbs.2009.01.004zbMath1160.92037OpenAlexW2153827550WikidataQ51816526 ScholiaQ51816526MaRDI QIDQ1015264

Michael C. White, Xiao-Qiang Zhao

Publication date: 7 May 2009

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2009.01.004

zbMATH Keywords

persistencebasic reproduction numberpopulation dispersalinfection period

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

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• Introduction to functional differential equations
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Robust persistence for semidynamical systems.
• An epidemic model in a patchy environment
• Two SIS epidemiologic models with delays
• The Mathematics of Infectious Diseases
• Mathematical Structures of Epidemic Systems
• Epidemiology and genetics in the coevolution of parasites and hosts
• Perturbation of a globally stable steady state
• The Theory of the Chemostat
• An Epidemic Model with Population Dispersal and Infection Period
• Dynamical systems in population biology
• Interaction of maturation delay and nonlinear birth in population and epidemic models