Dynamical behaviors of a diffusive predator–prey system with Beddington–DeAngelis functional response

DOI10.1142/S1793524514500338zbMath1305.34072WikidataQ115522870 ScholiaQ115522870MaRDI QIDQ2922117

Erdong Han, Peng Guo

Publication date: 9 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

diffusionasymptotic stabilityperiodic solutionextinctionBeddington-DeAngelis functional responsepermanence

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) 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)

Cites Work

• Unnamed Item
• Dynamics of the density dependent predator-prey system with Beddington-DeAngelis functional response
• Positive solutions for a three-trophic food chain model with diffusion and Beddington-DeAngelis functional response
• Global stability of stage-structured predator-prey models with Beddington-DeAngelis functional response
• The effect of mutual interference between predators on a predator-prey model with diffusion
• Permanence, extinction and periodic solution of predator-prey system with Beddington-DeAngelis functional response
• Multiple bifurcations in a delayed predator-prey diffusion system with a functional response
• Coincidence degree, and nonlinear differential equations
• Periodic solution of a periodic neutral delay equation
• 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.
• Oscillation and global attractivity in hematopoiesis model with delay time
• Study on a non-autonomous predator-prey system with Beddington-DeAngelis functional response
• EFFECTS OF DOMAIN SIZE ON THE PERSISTENCE OF POPULATIONS IN A DIFFUSIVE FOOD-CHAIN MODEL WITH BEDDINGTON-DeANGELIS FUNCTIONAL RESPONSE
• Periodic solutions of a periodic delay predator-prey system
• Spatial Ecology via Reaction‐Diffusion Equations
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response