POSITIVE PERIODIC SOLUTION FOR A GAUSE-TYPE RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY

DOI10.1142/S179352450800028XzbMath1166.34044OpenAlexW1994408804WikidataQ115522972 ScholiaQ115522972MaRDI QIDQ3608699

Xiaoquan Ding, Yuan Yuan Wang

Publication date: 5 March 2009

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179352450800028x

zbMATH Keywords

periodic solutionpredator-prey systemcoincidence theorem

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (3)

Positive periodic solutions for a generalized two-species semi-ratio-dependent predator-prey system in a two-patch environment ⋮ Existence and stability of pseudo almost periodic solutions for a delayed multispecies logarithmic population model with feedback control ⋮ Permanence for a two-species Gause-type ratio-dependent predator-prey system with time delay in a two-patch environment

Cites Work

• Positive periodic solutions in generalized ratio-dependent predator-prey systems
• Global stability and periodic orbits for two-patch predator-prey diffusion-delay models
• Coincidence degree, and nonlinear differential equations
• Predator-prey dynamics in models of prey dispersal in two-patch environments
• Global qualitative analysis of a ratio-dependent predator-prey system
• Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays.
• Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response.
• Positive periodic solution of two-species ratio-dependent predator--prey system with time delay in two-patch environment.
• Periodic solutions of delayed ratio-dependent predator--prey models with monotonic or nonmonotonic functional responses
• Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
• Global qualitative analysis for a ratio-dependent predator-prey model with delay.
• Global dynamics of a ratio-dependent predator-prey system
• Heteroclinic bifurcation in a ratio-dependent predator-prey system
• Global analyses in some delayed ratio-dependent predator-prey systems
• Dynamics of a non-autonomous ratio-dependent predator—prey system
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
• Periodicity in a delayed ratio-dependent predator-prey system

This page was built for publication: POSITIVE PERIODIC SOLUTION FOR A GAUSE-TYPE RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY