Existence of travelling waves in a modified vector-disease model

DOI10.1016/j.apm.2007.11.024zbMath1168.35384OpenAlexW2047100446MaRDI QIDQ840100

Jianming Zhang

Publication date: 5 September 2009

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2007.11.024

zbMATH Keywords

travelling wavesgeometric singular perturbation theoryvector-disease model

Mathematics Subject Classification ID

Epidemiology (92D30) Reaction-diffusion equations (35K57) Soliton equations (35Q51) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items

Existence and asymptotic behaviors of traveling waves of a modified vector-disease model ⋮ Stability of traveling wave fronts for a modified vector disease model ⋮ Uniqueness of epidemic waves in a host-vector disease model ⋮ Delay induced travelling wavefronts in a diffusive vector disease model with distributed delay ⋮ Traveling waves for a diffusive virus infection model with humoral immunity, cell‐to‐cell transmission, and nonlinear incidence ⋮ Traveling waves in a diffusive predator-prey model incorporating a prey refuge ⋮ Existence and critical speed of traveling wave fronts in a modified vector disease model with distributed delay ⋮ Asymptotic speed of spread and traveling fronts for a nonlocal reaction-diffusion model with distributed delay ⋮ Persistence of traveling wave solutions in a bio-reactor model with nonlocal delays ⋮ Travelling waves of a three-species Lotka-Volterra food-chain model with spatial diffusion and time delays

Cites Work

• Global asymptotic stability for a vector disease model with spatial spread
• Stability analysis for a vector disease model
• Geometric singular perturbation theory for ordinary differential equations
• Global asymptotic stability of a periodic solution to an epidemic model
• Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays
• Travelling fronts for the KPP equation with spatio-temporal delay
• Periodic Solutions of a Periodic Nonlinear Delay Differential Equation
• Travelling fronts in a food-limited population model with time delay
• Stability of steady states and existence of travelling waves in a vector-disease model