Travelling waves in an infectious disease model with a fixed latent period and a spatio-temporal delay

DOI10.1016/J.MCM.2010.10.018zbMath1217.35196OpenAlexW1984729282MaRDI QIDQ552082

Rui Xu, Qintao Gan, Yanlu Li, Renxi Hu

Publication date: 21 July 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.10.018

zbMATH Keywords

travelling wavesupper-lower solutionsspatio-temporal delaypartial monotonicityinfectious disease model

Mathematics Subject Classification ID

Epidemiology (92D30) Integro-partial differential equations (45K05) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Second-order parabolic systems (35K40) Traveling wave solutions (35C07)

Related Items (7)

Entire solutions of a lattice vector disease model ⋮ Traveling wave solutions of a delayed prey–predator system with diffusion ⋮ Existence and asymptotic behaviors of traveling waves of a modified vector-disease model ⋮ Robust sliding control of SEIR epidemic models ⋮ On the stability and equilibrium points of multistaged \(S I(n) R\) epidemic models ⋮ Traveling wave solutions in a diffusive producer-scrounger model ⋮ Stability analysis and observer design for discrete-time SEIR epidemic models

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