Dynamics of cooperative predator-prey system with impulsive effects and Beddington-DeAngelis functional response

DOI10.1016/j.joems.2013.04.008zbMath1284.34122OpenAlexW2075683390WikidataQ115570046 ScholiaQ115570046MaRDI QIDQ392315

Zhijian Yao, Neng-Fu Yu, Sheng-Li Xie

Publication date: 13 January 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.04.008

zbMATH Keywords

periodic solutionextinctionBeddington-DeAngelis functional responsepermanencecoincidence degreeimpulsive cooperative predator-prey system

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Population dynamics (general) (92D25) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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Extinction and permanence of the predator-prey system with general functional response and impulsive control ⋮ Modelling of a seasonally perturbed competitive three species impulsive system ⋮ Existence and stability of a unique almost periodic solution for a prey-predator system with impulsive effects and multiple delays ⋮ Global analysis of a delayed impulsive Lotka-Volterra model with Holling III type functional response ⋮ Modelling and analysis of a stochastic nonautonomous predator-prey model with impulsive effects and nonlinear functional response ⋮ Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response ⋮ Global dynamics on a circular domain of a diffusion predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional type

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