Dynamics of the density dependent and nonautonomous predator-prey system with Beddington-DeAngelis functional response

DOI10.3934/dcdsb.2015.20.1117zbMath1317.34106OpenAlexW2330698985WikidataQ115483751 ScholiaQ115483751MaRDI QIDQ2260220

Haiyin Li, Yasuhiro Takeuchi

Publication date: 10 March 2015

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.1117

zbMATH Keywords

periodic solutionBeddington-DeAngelis functional responsepermanencedensity dependent predator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

Interplay between reproduction and age selective harvesting delays of a single population non-autonomous system ⋮ Dynamics of a non-autonomous prey-predator model with age-structured growth in prey and predation of Beddington-DeAngelis type with reliance on alternative food ⋮ Shape effects on herd behavior in prey-predator interaction with multiple delays and alternative food source to predator in non-autonomous environment ⋮ A non-autonomous approach to study the impact of environmental toxins on nutrient-plankton system ⋮ Dynamics of a non-autonomous biocontrol model on native consumer, biocontrol agent and their predator ⋮ Global stability of the boundary solution of a nonautonomous predator-prey system with Beddington-DeAngelis functional response ⋮ Dynamics for a non-autonomous predator-prey system with generalist predator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of the density dependent predator-prey system with Beddington-DeAngelis functional response
• Permanence, extinction and periodic solution of predator-prey system with Beddington-DeAngelis functional response
• Stability of the boundary solution of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response
• Coincidence degree, and nonlinear differential equations
• Global qualitative analysis of a ratio-dependent predator-prey system
• Global analysis of the predator--prey system with Beddington-DeAngelis functional response.
• Uniqueness of limit cycles of the predator-prey system with Beddington-DeAngelis functional response.
• The asymptotic behavior of a chemostat model with the Beddington-DeAngelis functional response.
• Complete mathematical analysis of predator-prey models with linear prey growth and Bedding\-ton-DeAngelis functional response
• Dynamics of a nonautonomous predator--prey system with the Beddington-DeAngelis functional response
• Stability and bifurcation in a delayed predator-prey system with Beddington-DeAngelis functional response
• Intraspecific interference and consumer-resource dynamics
• A Stage-structured Predator-prey Model of Beddington-DeAngelis Type
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response