Dynamic behaviors of a modified predator-prey model with state-dependent impulsive effects

DOI10.1186/s13662-015-0735-9zbMath1418.92131OpenAlexW2284311823WikidataQ59468164 ScholiaQ59468164MaRDI QIDQ1796476

Cuihua Guo, Shulin Sun, Chao Qin

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0735-9

zbMATH Keywords

periodic solutionpredator-prey systemsquare root response functionstate-dependent impulse

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

Related Items (7)

Periodic solution of a Leslie predator-prey system with ratio-dependent and state impulsive feedback control ⋮ An Ecoepidemic Model with Prey Herd Behavior and Predator Feeding Saturation Response on Both Healthy and Diseased Prey ⋮ Dynamic analysis of a prey-predator model with state-dependent control strategy and square root response function ⋮ Unnamed Item ⋮ Distributional van der Pol equation with state-dependent impulses ⋮ Spatiotemporal patterns induced by Hopf bifurcations in a homogeneous diffusive predator-prey system ⋮ The state-dependent impulsive model with action threshold depending on the pest density and its changing rate

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