TRAVELLING WAVE SOLUTIONS IN NONLOCAL REACTION–DIFFUSION SYSTEMS WITH DELAYS AND APPLICATIONS

DOI10.1017/S1446181109000406zbMath1189.35043MaRDI QIDQ3564629

Rong Yuan, Zhi-Xian Yu

Publication date: 26 May 2010

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

convolutionSchauder's fixed point theoremLotka-Volterra typetwo-speciescross-iterationweak quasimonotonicity

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Initial value problems for second-order parabolic systems (35K45) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)

Related Items (25)

Existence and stability of traveling waves for Leslie-Gower predator-prey system with nonlocal diffusion ⋮ Uniqueness and stability of traveling waves for a three-species competition system with nonlocal dispersal ⋮ Front-like entire solutions for a Lotka-Volterra weak competition system with nonlocal dispersal ⋮ Estimates of population size for traveling wave solutions of spatially non-local Lotka-Volterra competition system ⋮ Traveling waves of a Lotka-Volterra strong competition system with nonlocal dispersal ⋮ Invasion traveling wave solutions of a competitive system with dispersal ⋮ Multidimensional stability of planar traveling waves for the delayed nonlocal dispersal competitive Lotka-Volterra system ⋮ Traveling wave solutions of a nonlocal dispersal SIRS model with spatio-temporal delay ⋮ Properties of traveling wave fronts for three species Lotka-Volterra system ⋮ Existence and asymptotics of traveling waves for nonlocal diffusion systems ⋮ Invasion traveling wave solutions of a predator-prey model with nonlocal dispersal ⋮ Existence and stability of invasion traveling waves for a competition system with random vs. nonlocal dispersals ⋮ Monotone traveling waves of a population model with non-monotone terms ⋮ Invasion entire solutions in a competition system with nonlocal dispersal ⋮ Traveling waves for \(n\)-species competitive system with nonlocal dispersals and delays ⋮ Nonlinear stability of traveling wavefronts for competitive-cooperative Lotka-Volterra systems of three species ⋮ Stability of traveling wave fronts for a cooperative system with nonlocal dispersals ⋮ TRAVELING WAVES FOR A SIRS MODEL WITH NONLOCAL DIFFUSION ⋮ Wavefronts of a nonlocal state-dependent time delay model ⋮ Entire solutions in a delayed nonlocal dispersal competitive system ⋮ Traveling wave solutions in n-dimensional delayed nonlocal diffusion system with mixed quasimonotonicity ⋮ Traveling waves and spreading properties for a reaction-diffusion competition model with seasonal succession* ⋮ Stability of invasion traveling waves for a competition system with nonlocal dispersals ⋮ Spreading speeds and traveling wave solutions in cooperative integral-differential systems ⋮ Multi-type entire solutions in a nonlocal dispersal epidemic model

Cites Work

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