Existence of travelling fronts in a diffusive vector disease model with spatio-temporal delay

DOI10.1016/j.nonrwa.2009.08.004zbMath1197.35076OpenAlexW1996727074MaRDI QIDQ984532

Moses O. Tadé, Tonghua Zhang, Yahong Peng

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.08.004

zbMATH Keywords

small delaysgeometric singular perturbation theorynon-local effectCanosa's asymptotic analysisnon-local spatial terms

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Partial functional-differential equations (35R10) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)

Related Items (4)

Uniqueness of epidemic waves in a host-vector disease model ⋮ Spatial dynamics of an epidemic model with nonlocal infection ⋮ Traveling waves for nonlocal and non-monotone delayed reaction-diffusion equations ⋮ Asymptotic speed of propagation and traveling wavefronts for a lattice vector disease model

Cites Work

• Existence of travelling wave fronts for a diffusive vector disease model with delay
• Environmental periodicity and time delays in a ``food-limited population model
• Stability analysis for a vector disease model
• Geometric singular perturbation theory for ordinary differential equations
• Periodic Solutions of a Periodic Nonlinear Delay Differential Equation
• Stability of steady states and existence of travelling waves in a vector-disease model
• Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
• On a Nonlinear Diffusion Equation Describing Population Growth
• Traveling wave fronts of reaction-diffusion systems with delay

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