Four periodic solutions of a generalized delayed predator--prey system

DOI10.1016/j.amc.2006.01.058zbMath1112.34048OpenAlexW2093075921WikidataQ115598627 ScholiaQ115598627MaRDI QIDQ856067

Jianwen Feng, Shi-hua Chen

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.058

zbMATH Keywords

positive periodic solutionspredator-prey systemcoincidence degree theory

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 (8)

Existence of four periodic solutions for a generalized delayed ratio-dependent predator-prey system ⋮ Existence of multiple periodic solutions for delay Lotka-Volterra competition patch systems with harvesting ⋮ Effects of consecutive water level fluctuations and harvesting on predator-prey interactions ⋮ Multiple positive periodic solutions for a food-limited two-species Gilpin-Ayala competition patch system with periodic harvesting terms ⋮ Two positive periodic solutions for a neutral delay model of single-species population growth with harvesting ⋮ Multiple positive periodic solutions for a non-autonomous stage-structured predatory-prey system with harvesting terms ⋮ Periodic and almost periodic solution for a non-autonomous epidemic predator-prey system with time-delay ⋮ Four periodic solutions of a generalized delayed predator-prey system on time scales

Cites Work

• Coincidence degree, and nonlinear differential equations
• A periodic stage-structure model
• Periodic solutions of delayed ratio-dependent predator--prey models with monotonic or nonmonotonic functional responses
• Periodic Solutions of Single-Species Models with Periodic Delay
• Periodic solutions of a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
• The existence of a periodic solution for a generalized prey-predator system with delay
• Periodic solutions of periodic delay Lotka-Volterra equations and systems

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