Four periodic solutions of a generalized delayed predator-prey system on time scales

DOI10.1216/RMJ-2008-38-5-1307zbMath1167.34037WikidataQ115517581 ScholiaQ115517581MaRDI QIDQ1011063

Haijun Guo, Xiao Xing Chen

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

delaytime scalescoincidence degreepredator-prey systemfour positive periodic solutions

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20) Additive difference equations (39A10) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (1)

Existence and global attractivity of positive periodic solution for a Volterra model with mutual interference and Beddington-DeAngelis functional response

Cites Work

• Unnamed Item
• Unnamed Item
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Four periodic solutions of a generalized delayed predator--prey system
• Existence of periodic solutions in predator-prey and competition dynamic systems
• Periodicity of scalar dynamic equations and applications to population models
• Coincidence degree, and nonlinear differential equations
• Basic calculus on time scales and some of its applications
• Oscillation of delay differential equations on time scales.
• The qualitative analysis of \(N\)-species nonlinear prey-competition systems.
• Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions
• Periodic solutions for delay Lotka-Volterra competition systems
• Positive solutions for a nonlinear differential equation on a measure chain
• Oscillation criteria for second-order matrix dynamic equations on a time scale
• Periodic solutions for a neutral nonlinear dynamical equation on a time scale
• Periodic solutions of a class of nonautonomous discrete time semi-ratio-dependent predator-prey systems
• Positive periodic solutions of a class of non-autonomous single species population models with delays and feedback control
• Periodicity in a nonlinear discrete predator-prey system with state dependent delays
• Periodic Solutions of Nonautonomous Discrete Predator-Prey System of Lotka-Volterra Type

This page was built for publication: Four periodic solutions of a generalized delayed predator-prey system on time scales