Traveling waves of a diffusive predator-prey model with nonlocal delay and stage structure

DOI10.1016/J.JMAA.2010.07.044zbMath1208.34108OpenAlexW2058827017WikidataQ115570425 ScholiaQ115570425MaRDI QIDQ711017

Xiao Zhang, Rui Xu

Publication date: 25 October 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.044

zbMATH Keywords

reaction-diffusiontraveling wavespredator-prey modelnonlocal delaystage structureupper-lower solutions

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Theoretical approximation of solutions to functional-differential equations (34K07) Boundary value problems for functional-differential equations (34K10) Traveling wave solutions (35C07)

Related Items (11)

Traveling wave solutions of a reaction-diffusion predator-prey model ⋮ Stability and traveling waves in a Beddington-DeAngelis type stage-structured predator-prey reaction-diffusion systems with nonlocal delays and harvesting ⋮ Stability and traveling fronts for a food chain reaction-diffusion systems with nonlocal delays ⋮ Study of periodic diffusion and time delay induced spatiotemporal patterns in a predator-prey system ⋮ A diffusive Holling–Tanner prey–predator model with free boundary ⋮ Traveling wave phenomena of \(n\)-dimensional diffusive predator-prey systems ⋮ Stability and travelling waves for a time-delayed population system with stage structure ⋮ Traveling waves in a stage-structured predator-prey model with Holling type functional response ⋮ Traveling wave solutions ofn-dimensional delayed reaction-diffusion systems and application to four-dimensional predator-prey systems ⋮ Stability in a simple food chain system with Michaelis-Menten functional response and nonlocal delays ⋮ Traveling wave solution for a reaction-diffusion competitive-cooperative system with delays

Cites Work

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• Travelling waves of the diffusive Nicholson's blowflies equation with strong generic delay kernel and non-local effect
• A reaction-diffusion predator-prey model with stage structure and nonlocal delay
• Monotone travelling fronts of a food-limited population model with nonlocal delay
• Convergence and Travelling Fronts in Functional Differential Equations with Nonlocal Terms: A Competition Model
• Wavefronts and global stability in a time-delayed population model with stage structure
• Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
• The effect of dispersal on population growth with stage-structure
• A non-local delayed and diffusive predator-prey model.

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