Homoclinic bifurcation for a general state-dependent Kolmogorov type predator-prey model with harvesting

DOI10.1016/j.nonrwa.2015.05.012zbMath1331.34102OpenAlexW587419395MaRDI QIDQ896476

Qizhen Xiao, Bingxiang Xu, Longsheng Bao, Binxiang Dai

Publication date: 9 December 2015

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.05.012

zbMATH Keywords

homoclinic bifurcationimpulsive controlconstant-yield harvestingKolmogorov modelgeometry analysis

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Control problems involving ordinary differential equations (34H05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (12)

Homoclinic bifurcation of a ratio-dependent predator-prey system with impulsive harvesting ⋮ Periodic solution of a Leslie predator-prey system with ratio-dependent and state impulsive feedback control ⋮ Dynamic complexity in a prey-predator model with state-dependent impulsive control strategy ⋮ Periodic solution and control optimization of a prey-predator model with two types of harvesting ⋮ Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems ⋮ Existence of order-1 periodic solutions for a viral infection model with state-dependent impulsive control ⋮ Global dynamic behavior of a predator-prey model under ratio-dependent state impulsive control ⋮ Global dynamic behavior of a plant disease model with ratio dependent impulsive control strategy ⋮ Bifurcation and stability analysis of a ratio-dependent predator-prey model with predator harvesting rate ⋮ Bifurcation analysis of a Leslie-type predator-prey system with simplified Holling type IV functional response and strong Allee effect on prey ⋮ Dynamics analysis of a predator-prey model with nonmonotonic functional response and impulsive control ⋮ Optimality and sustainability of delayed impulsive harvesting

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