Existence of traveling wave fronts in a cooperative systems with discrete delays
DOI10.1016/j.amc.2009.07.032zbMath1180.35156OpenAlexW2066798473MaRDI QIDQ1045816
Shengfan Zhou, Xinyuan Liao, Xian Hua Tang
Publication date: 16 December 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.07.032
monotone iteration techniqueLotka-Volterra cooperative systemupper and lower solutiondiffusive and discrete delaystwo-species system
Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Initial value problems for second-order parabolic systems (35K45) Wave front sets in context of PDEs (35A18) Traveling wave solutions (35C07)
Cites Work
- Travelling wave fronts in a vector disease model with delay
- Spreading speed and traveling waves for a multi-type SIS epidemic model
- Local stability of traveling-wave solutions of nonlinear reaction-diffusion equations
- Permanence for two-species Lotka-Volterra cooperative systems with delays
- Traveling wave solutions for a competitive reaction-diffusion system and their asymptotics
- Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays
- Traveling waves for the diffusive Nicholson's blowflies equation
- Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay
- Travelling wave solutions for some time-delayed equations through factorizations
- Spreading speeds as slowest wave speeds for cooperative systems
- A reaction‐diffusion system modelling the spread of bacterial infections
- The existence of travelling plane waves in a general class of competition-diffusion systems
- Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
- Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
- Traveling wave fronts of reaction-diffusion systems with delay
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