Periodic solutions of competition Lotka-Volterra dynamic system on time scales

DOI10.1016/j.camwa.2009.01.019zbMath1186.34129OpenAlexW2013296932MaRDI QIDQ971619

Xiao-Bing Zhang, Liang Zhang, Hong-Xu Li

Publication date: 16 May 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.01.019

zbMATH Keywords

periodic solutiontime scalescoincidence degree\(L\)-compactLotka-Volterra dynamic system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Additive difference equations (39A10) Qualitative investigation and simulation of ordinary differential equation models (34C60) Dynamic equations on time scales or measure chains (34N05)

Related Items

Periodic solutions for \(n\)-species Lotka-Volterra competitive systems with pure delays, Positive periodic solutions of cooperative systems with delays and feedback controls, Global attractivity of a periodic delayed \(N\)-species model of facultative mutualism, Periodic solutions of a Lotka-Volterra system with delay and diffusion, Periodic solutions for a semi-ratio-dependent predator-prey system with delays on time scales, Stability and Hopf bifurcation periodic orbits in delay coupled Lotka-Volterra ring system, Periodic solutions for a Cauchy problem on time scales, Periodic solutions for Gause-type ratio-dependent predator-prey systems with delays on time scales, Extremal solutions for nonlinear first-order impulsive integro-differential dynamic equations, Dynamics of a predator-prey-competition system with pure delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Positive periodic solutions of discrete three-level food-chain model of Holling type II
• Existence of periodic solutions in predator-prey and competition dynamic systems
• Coincidence degree, and nonlinear differential equations
• Basic calculus on time scales and some of its applications
• Existence of positive periodic solutions of a neutral delay Lotka-Volterra system with impulses
• Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system
• Existence theory for positive solutions to one-dimensional \(p\)-Laplacian boundary value problems on time scales
• On positive periodic solution of periodic competition Lotka-Volterra system with time delay and diffusion
• A new existence theorem for right focal boundary value problems on a measure chain
• Periodic solutions in periodic state-dependent delay equations and population models