Existence of positive periodic solutions for a generalized predator-prey model with diffusion feedback controls

DOI10.1186/1687-1847-2013-52zbMath1380.92051OpenAlexW2121033659WikidataQ59301656 ScholiaQ59301656MaRDI QIDQ1693503

Yusen Wu, Chao-xiong Du

Publication date: 31 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-52

zbMATH Keywords

diffusioncoincidence degreepositive periodic solutionprey-predator model

Mathematics Subject Classification ID

Feedback control (93B52) Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13)

Related Items (1)

On a delay ratio-dependent predator–prey system with feedback controls and shelter for the prey

Cites Work

• Coincidence degree, and nonlinear differential equations
• An approximation for prey-predator models with time delay
• Positive periodic solution of two-species ratio-dependent predator--prey system with time delay in two-patch environment.
• Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
• Further study of the equivalent theorem of Hellinger-Reissner and Hu-Washizu variational principles
• The existence of a periodic solution for a generalized prey-predator system with delay
• Periodic solution of a nonautonomous stage-structured single species model with diffusion
• Modeling and analysis of a predator-prey model with disease in the prey

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