Travelling waves of nonlocal isotropic and anisotropic diffusive epidemic models with temporal delay

DOI10.1007/s10883-012-9141-8zbMath1259.35213OpenAlexW2050464463MaRDI QIDQ1935313

Guosheng Zhang, Yifu Wang

Publication date: 14 February 2013

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-012-9141-8

zbMATH Keywords

upper and lower solutionsconvolution operatorminimal wave speednonlocal diffusion lawsymmetric or asymmetric dispersion kernel

Mathematics Subject Classification ID

Epidemiology (92D30) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)

Related Items

Exponential stability of traveling waves in a nonlocal dispersal epidemic model with delay ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications
• Nonlocal anisotropic dispersal with monostable nonlinearity
• Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases
• Traveling waves in a convolution model for phase transitions
• Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
• Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction--diffusion models.
• Fisher waves in an epidemic model
• Minimal wave speed in a diffusive epidemic model with temporal delay
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
• On a non-local equation arising in population dynamics