Periodicity in a ratio-dependent predator-prey system with stage-structured predator on time scales

DOI10.1016/j.nonrwa.2006.11.011zbMath1142.34025OpenAlexW2007137093MaRDI QIDQ924587

Ping Bi, Weipeng Zhang, De-Ming Zhu

Publication date: 16 May 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.11.011

zbMATH Keywords

periodic solutiontime scalescoincidence degreepredator-prey systemsratio-dependent

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12) Qualitative investigation and simulation of ordinary differential equation models (34C60) Multiplicative and other generalized difference equations (39A20)

Related Items (9)

Uniform ultimate boundedness of solutions of predator-prey system with Michaelis-Menten functional response on time scales ⋮ Derivation and analysis of a discrete predator-prey model ⋮ On qualitative analysis of delay systems and \(x^{\Delta } = f(t, x, x^{\sigma})\) on time scales ⋮ Permanence and extinction of a three-species ratio-dependent food chain model with delay and prey diffusion ⋮ Four periodic solutions for a food-limited two-species gilpin-ayala type predator-prey system with harvesting terms on time scales ⋮ Periodic solutions for a delayed predator-prey system with stage-structured predator on time scales ⋮ Existence of at least two periodic solutions for a competition system of plankton allelopathy on time scales ⋮ Multiple periodic solutions of delayed predator-prey systems with type IV functional responses on time scales ⋮ Existence and global attractivity of positive periodic solutions for a two-species competitive system with stage structure and impulse

Cites Work

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• Delays in recruitment at different trophic levels: Effects on stability
• Existence of periodic solutions in predator-prey and competition dynamic systems
• Coincidence degree, and nonlinear differential equations
• Age-dependent predation is not a simple process. I. Continuous time models
• Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system
• Periodic solutions of delayed predator-prey model with the Beddington-DeAngelis functional response

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