Travelling wave fronts in a vector disease model with delay

DOI10.1016/J.APM.2007.10.002zbMath1167.35392OpenAlexW2048098745MaRDI QIDQ838222

Yiguang Hong, Guojian Lin

Publication date: 23 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.apm.2007.10.002

zbMATH Keywords

monotone iteration techniquetravelling wave frontupper and lower solutionvector disease model

Mathematics Subject Classification ID

Epidemiology (92D30) Nonlinear parabolic equations (35K55) Medical applications (general) (92C50) Partial functional-differential equations (35R10) Soliton equations (35Q51) Periodic solutions to functional-differential equations (34K13)

Related Items (7)

Traveling wavefronts of a prey-predator diffusion system with stage-structure and harvesting ⋮ Nonlinear stability of traveling wave fronts for nonlocal delayed reaction-diffusion equations ⋮ 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 ⋮ Stability of traveling wave solutions to delayed evolution equation ⋮ Unnamed Item ⋮ Existence of traveling wave fronts in a cooperative systems with discrete delays

Cites Work

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• Peakons of the Camassa-Holm equation
• Periodic Solutions of a Periodic Nonlinear Delay Differential Equation
• Stability of steady states and existence of travelling waves in a vector-disease model
• Periodic solutions for equations with distributed delays
• Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
• Traveling wave fronts of reaction-diffusion systems with delay
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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