Uniform persistence for a two-species ratio-dependent predator-prey system with diffusion and variable time delays

DOI10.1016/J.AMC.2010.11.031zbMath1209.92061OpenAlexW2032152533WikidataQ114683063 ScholiaQ114683063MaRDI QIDQ627143

Quanyi Wang, Dongshu Wang

Publication date: 21 February 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.11.031

zbMATH Keywords

diffusionuniform persistencevariable time delay

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Stability theory of functional-differential equations (34K20) Ecology (92D40)

Related Items (2)

Multiple positive periodic solutions for an n-species competition predator-prey system on time scales ⋮ On almost periodicity of delayed predator-prey model with mutual interference and discontinuous harvesting policies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Permanence and global stability for a two-species cooperative system with time delays in a two-patch environment
• Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
• Existence of positive solution for a two-patches competition system with diffusion and time delay and functional response.
• Permanence and global stability for cooperative Lotka-Volterra diffusion systems
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS
• Conditions for global attractivity of \(n\)-patches predator-prey dispersion-delay models
• Permanence and extinction in logistic and Lotka-Volterra systems with diffusion

This page was built for publication: Uniform persistence for a two-species ratio-dependent predator-prey system with diffusion and variable time delays