Existence of periodic solutions for a predator-prey system with sparse effect and functional response on time scales

DOI10.1016/j.cnsns.2011.12.003zbMath1250.92042OpenAlexW2010500579WikidataQ115578403 ScholiaQ115578403MaRDI QIDQ446093

Yu Tong, Yonghong Wang, Zhenjie Liu, Zhiying Gao

Publication date: 28 August 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.12.003

zbMATH Keywords

coincidence degreeBeddington-DeAngelis responseHolling-type III responsesparse effects

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ecology (92D40)

Related Items

Uniform ultimate boundedness of solutions of predator-prey system with Michaelis-Menten functional response on time scales ⋮ Spatio-Temporal Patterns of Predator–Prey Model with Allee Effect and Constant Stocking Rate for Predator ⋮ Positive periodic solutions of nonautonomous Lotka-Volterra dynamic systems with a general attack rate on time scales ⋮ Spatiotemporal dynamics in a ratio-dependent predator-prey model with time delay near the Turing-Hopf bifurcation point ⋮ Bifurcation and control for a discrete-time prey–predator model with Holling-IV functional response

Cites Work

• Unnamed Item
• Unnamed Item
• Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion
• Existence of periodic solutions in predator-prey and competition dynamic systems
• Periodic solutions for predator-prey systems with Beddington-DeAngelis functional response on time scales
• Coincidence degree, and nonlinear differential equations
• 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
• Periodic solutions for a neutral nonlinear dynamical equation on a time scale
• Dispersal permanence of a periodic predator-prey system with Beddington-DeAngelis functional response
• A Stage-structured Predator-prey Model of Beddington-DeAngelis Type

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