Asymptotic speed of propagation and traveling wavefronts for a SIR epidemic model

DOI10.3934/dcdsb.2011.15.867zbMath1221.35097OpenAlexW2323813279MaRDI QIDQ541583

Chufen Wu, Pei-xuan Weng

Publication date: 7 June 2011

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2011.15.867

zbMATH Keywords

stage structureminimum wave speednonlocal response

Mathematics Subject Classification ID

Epidemiology (92D30) Reaction-diffusion equations (35K57) Topological entropy (37B40) Wave front sets in context of PDEs (35A18) Traveling wave solutions (35C07)

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Traveling wave solutions in a two-group SIR epidemic model with constant recruitment ⋮ Critical traveling waves in a diffusive disease model ⋮ Existence of travelling waves with the critical speed for an influenza model with treatment ⋮ Traveling waves in a delayed SIR epidemic model with nonlinear incidence ⋮ Traveling waves of a diffusive SIR epidemic model with a class of nonlinear incidence rates and distributed delay ⋮ Global stability of travelling waves for a class of monostable epidemic models ⋮ Super-critical and critical traveling waves in a two-component lattice dynamical model with discrete delay ⋮ Propagation dynamics for a time-periodic reaction-diffusion SI epidemic model with periodic recruitment ⋮ Mixed types of waves in a discrete diffusive epidemic model with nonlinear incidence and time delay ⋮ Traveling waves in a nonlocal dispersal epidemic model with spatio-temporal delay ⋮ Traveling waves for a diffusive SIR model with delay and nonlinear incidence ⋮ Traveling waves for a discrete diffusive SIR epidemic model with treatment ⋮ Wave propagation of a diffusive epidemic model with latency and vaccination

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