Heteroclinic bifurcation for a general predator-prey model with Allee effect and state feedback impulsive control strategy

DOI10.3934/mbe.2015.12.1065zbMath1322.34062OpenAlexW2406469130WikidataQ46683493 ScholiaQ46683493MaRDI QIDQ2351778

Qizhen Xiao, Binxiang Dai

Publication date: 26 June 2015

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2015.12.1065

zbMATH Keywords

predator-prey modelpositive periodic solutionAllee effectheteroclinic bifurcationstate feedback control

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Perturbations of ordinary differential equations (34D10) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (6)

Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy ⋮ 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 ⋮ Dynamical analysis of a two-species competitive system with state feedback impulsive control ⋮ Dynamics analysis of a predator-prey model with nonmonotonic functional response and impulsive control

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