Multiple positive periodic solutions for a non-autonomous stage-structured predatory-prey system with harvesting terms

DOI10.1016/J.CNSNS.2009.08.019zbMath1222.37100OpenAlexW2086976664MaRDI QIDQ720092

Zhouhong Li, Kaihong Zhao, Li Yong Kun

Publication date: 13 October 2011

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.2009.08.019

zbMATH Keywords

positive periodic solutionscoincidence degreeharvesting termstage-structured predatory-prey system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Population dynamics (general) (92D25)

Related Items (9)

Dynamics of a non-autonomous predator-prey system with Hassell-Varley-Holling II function response and mutual interference ⋮ Existence of four periodic solutions for a generalized delayed ratio-dependent predator-prey system ⋮ Periodic solutions of a non-autonomous predator-prey system with migrating prey and disease infection: via Mawhin's coincidence degree theory ⋮ Effects of consecutive water level fluctuations and harvesting on predator-prey interactions ⋮ Multiple positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms ⋮ Dynamical analysis of a ratio-dependent predator-prey model with Holling III type functional response and nonlinear harvesting in a random environment ⋮ Existence of multiple positive periodic solutions to a periodic predator-prey system with harvesting terms and Holling III type functional response ⋮ A bioeconomic differential algebraic predator-prey model with nonlinear prey harvesting ⋮ A non-autonomous Leslie-Gower model with Holling type IV functional response and harvesting complexity

Cites Work

• Multiple periodic solutions of an impulsive predator-prey model with Holling-type IV functional response
• Existence of multiple periodic solutions for delay Lotka-Volterra competition patch systems with harvesting
• Four periodic solutions of a generalized delayed predator--prey system
• Coincidence degree, and nonlinear differential equations
• Multiple periodic solutions of delayed predator--prey systems with type IV functional responses
• Four positive periodic solutions to a Lotka-Volterra cooperative system with harvesting terms
• Unnamed Item

This page was built for publication: Multiple positive periodic solutions for a non-autonomous stage-structured predatory-prey system with harvesting terms