Holling type II predator–prey model with nonlinear pulse as state-dependent feedback control
作者：
Highlights：
• Novel predator–prey model with state-dependent feedback control is proposed and analyzed.
• The Poincare map is constructed in phase sets according to phase portraits of ODE model.
• The semi-trivial periodic solution is studied and then the transcritical bifurcation is discussed.
• The existence and nonexistence of order- k(k≥1) periodic solutions are investigated.
• Numerical investigations are performed to verify our results.
摘要
•Novel predator–prey model with state-dependent feedback control is proposed and analyzed.•The Poincare map is constructed in phase sets according to phase portraits of ODE model.•The semi-trivial periodic solution is studied and then the transcritical bifurcation is discussed.•The existence and nonexistence of order- k(k≥1) periodic solutions are investigated.•Numerical investigations are performed to verify our results.
论文关键词：Nonlinear pulse,Poincaré map,Periodic solution,Existence and stability,Bifurcation
论文评审过程：Received 20 October 2014, Revised 17 December 2014, Available online 21 January 2015, Version of Record 15 August 2015.
论文官网地址：https://doi.org/10.1016/j.cam.2015.01.017
