Dispersal permanence of a periodic predator-prey system with Beddington-DeAngelis functional response

DOI10.1016/j.na.2005.06.022zbMath1101.34035OpenAlexW1983900435WikidataQ115568828 ScholiaQ115568828MaRDI QIDQ2492382

Jing-An Cui

Publication date: 9 June 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.06.022

zbMATH Keywords

permanencedispersalpredator-prey systemBeddington-De Angelis functional response

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (10)

\(n\) species impulsive migration model with Markovian switching ⋮ Existence of periodic solutions for a predator-prey system with sparse effect and functional response on time scales ⋮ Permanence, extinction and periodic solution of the predator-prey system with Beddington-DeAngelis functional response and stage structure for prey ⋮ Existence of positive periodic solutions for a predator-prey system of Holling type IV function response with mutual interference and impulsive effects ⋮ Permanence and periodic solutions for a two-patch impulsive migration periodic \(N\)-species Lotka-Volterra competitive system ⋮ Permanence for a delayed predator-prey model of prey dispersal in two-patch environments ⋮ Dynamics of a periodic Watt-type predator-prey system with impulsive effect ⋮ Existence of periodic solutions to a system with functional response on time scales ⋮ Existence of periodic solutions in predator-prey with Watt-type functional response and impulsive effects ⋮ Dispersal permanence of a periodic predator-prey system with Holling type-IV functional response

Cites Work

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• Global stability and predator dynamics in a model of prey dispersal in a patchy environment
• Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
• Permanence and extinction in logistic and Lotka-Volterra systems with diffusion

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