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

DOI10.1016/0895-7177(94)90125-2zbMath0827.34040OpenAlexW1984911447MaRDI QIDQ1842792

Guangzhao Zeng, Jufang Chen, Lan-Sun Chen

Publication date: 17 December 1995

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)90125-2

zbMATH Keywords

diffusionpersistenceultimate boundednesscoexistenceuniqueness of periodic solutionsglobal asymptotic stability of periodic orbitsystem of two competing species in two patches

Mathematics Subject Classification ID

Related Items (22)

Survival analysis of single-species population diffusion models with chemotaxis in polluted environment ⋮ Existence of multiple periodic solutions for delay Lotka-Volterra competition patch systems with harvesting ⋮ Permanence and periodic solution in competitive system with feedback controls ⋮ Positive periodic solutions of competitive Kolmogorov diffusion systems with interference constants ⋮ Dynamic analysis of unilateral diffusion Gompertz model with impulsive control strategy ⋮ A Lycaon pictus impulsive state feedback control model with Allee effect and continuous time delay ⋮ The effects of habitat fragmentation and ecological invasion on population sizes ⋮ Persistence for Lotka-Volterra patch-system with time delay ⋮ Stability analysis and control optimization of a prey-predator model with linear feedback control ⋮ Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay ⋮ On a periodic predator-prey system with nonlinear diffusion and delays ⋮ Existence and globally asymptotical stability of periodic solutions for two-species non-autonomous diffusion competition \(n\)-patch system with time delay and impulses ⋮ Persistence and periodic orbits for two-species non-autonomous diffusion Lotka-Volterra models ⋮ Permanence and extinction in logistic and Lotka-Volterra systems with diffusion ⋮ Permanence and extinction in nonlinear single and multiple species system with diffusion ⋮ Nonlinear state-dependent feedback control of a pest-natural enemy system ⋮ Global attractivity of almost periodic solutions for competitive Lotka-Volterra diffusion system ⋮ Almost periodic solution of a nonautonomous diffusive food chain system of three species ⋮ Permanence and extinction for a nonlinear diffusive predator-prey system ⋮ Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking ⋮ Positive periodic solution for non-autonomous competition Lotka--Volterra patch system with time delay ⋮ On a two species stochastic Lotka-Volterra competition system

Cites Work

• 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
• An application of topological degree to the periodic competing species problem
• On the Nonautonomous Volterra-Lotka Competition Equations

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