Positive periodic solutions in generalized ratio-dependent predator-prey systems

DOI10.1016/J.NONRWA.2006.11.007zbMath1142.34052OpenAlexW2026496009MaRDI QIDQ924591

Xiaoquan Ding

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.2006.11.007

zbMATH Keywords

periodic solutioncoincidence degreepredator-prey systemratio-dependent

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Degree theory for nonlinear operators (47H11) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (7)

Permanence and extinction of a three-species ratio-dependent food chain model with delay and prey diffusion ⋮ Permanence for a two-species Gause-type ratio-dependent predator-prey system with time delay in a two-patch environment ⋮ Multiple periodic solutions in delayed Gause-type ratio-dependent predator-prey systems with non-monotonic numerical responses ⋮ Permanence and periodic solutions of a delayed predator-prey system with impulse ⋮ POSITIVE PERIODIC SOLUTION FOR A GAUSE-TYPE RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY ⋮ Periodic and almost periodic solution for a non-autonomous epidemic predator-prey system with time-delay ⋮ Periodic solutions for Gause-type ratio-dependent predator-prey systems with delays on time scales

Cites Work

• Coincidence degree, and nonlinear differential equations
• Global qualitative analysis of a ratio-dependent predator-prey system
• Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response.
• Periodic solutions of delayed ratio-dependent predator--prey models with monotonic or nonmonotonic functional responses
• Global qualitative analysis for a ratio-dependent predator-prey model with delay.
• Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay
• Global dynamics of a ratio-dependent predator-prey system
• Parametric analysis of the ratio-dependent predator-prey model
• Heteroclinic bifurcation in a ratio-dependent predator-prey system
• Global analyses in some delayed ratio-dependent predator-prey systems
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
• Periodicity in a delayed ratio-dependent predator-prey system

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