Dynamical behavior for a class of predator-prey system with general functional response and discontinuous harvesting policy

DOI10.1002/mma.3379zbMath1339.37090OpenAlexW2118375584MaRDI QIDQ2795241

Xiaolian Hu, Zuowei Cai, Ling-Ling Zhang, Li-Hong Huang

Publication date: 18 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3379

zbMATH Keywords

differential inclusionsperiodic solutionglobal asymptotic stabilitypredator-prey systemconvergence in finite timetopological degree theory in set-valued analysis

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) General theory of ordinary differential operators (47E05) Stability theory for smooth dynamical systems (37C75)

Related Items (7)

Dynamical analysis for a fractional-order prey-predator model with Holling III type functional response and discontinuous harvest ⋮ Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy ⋮ Impact of discontinuous harvesting policies on prey–predator system with Hassell–Varley-type functional response ⋮ Global stability of a diffusive predator-prey model with discontinuous harvesting policy ⋮ Almost periodic dynamics of delayed prey–predator model with discontinuous harvesting policies and Hassell–Varley type functional response ⋮ Periodic solution and dynamical analysis for a delayed food chain model with general functional response and discontinuous harvesting ⋮ On almost periodicity of delayed predator-prey model with mutual interference and discontinuous harvesting policies

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