Persistence and periodic orbits for two-species non-autonomous diffusion Lotka-Volterra models

DOI10.1007/s11766-004-0001-5zbMath1074.34053OpenAlexW2326228198MaRDI QIDQ1769559

Fengde Chen

Publication date: 4 April 2005

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-004-0001-5

zbMATH Keywords

diffusionperiodic orbitsglobal stabilitypersistenceLotka-Volterra system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (10)

Permanence of periodic Holling type predator--prey system with stage structure for prey ⋮ Average conditions for permanence and extinction in nonautonomous Gilpin-Ayala competition model ⋮ Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances ⋮ Some new results on the permanence and extinction of nonautonomous Gilpin-Ayala type competition model with delays ⋮ Extinction in a nonautonomous Lotka-Volterra competitive system with infinite delay and feedback controls ⋮ Global positive periodic solutions of generalized \(n\)-species Gilpin-Ayala delayed competition systems with impulses ⋮ Permanence for a delayed predator-prey model of prey dispersal in two-patch environments ⋮ Permanence and global attractivity of a delayed periodic logistic equation ⋮ Permanence and extinction in nonlinear single and multiple species system with diffusion ⋮ On a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response and diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Coexistence of any number of species in the Lotka-Volterra competitive system over two-patches
• Conflict between the need to forage and the need to avoid competition: Persistence of two-species model
• Convergence and ultimate bounds of solutions of the nonautonomous Volterra-Lotka competition equations
• Predator-prey dynamics in models of prey dispersal in two-patch environments
• Persistence and periodic orbits for two-species nonautonomous diffusion Lotka- Volterra models
• Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environ\-ments
• An application of topological degree to the periodic competing species problem

This page was built for publication: Persistence and periodic orbits for two-species non-autonomous diffusion Lotka-Volterra models