Phase portraits of predator--prey systems with harvesting rates

DOI10.3934/dcds.2012.32.901zbMath1252.34052OpenAlexW2314776390MaRDI QIDQ765081

Kunquan Lan, Chang Rong Zhu

Publication date: 19 March 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.901

zbMATH Keywords

phase portraitsBeddington-DeAngelis functional responsepredator-prey systemharvesting ratepositive equilibria

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (12)

Bifurcations analysis of Leslie-Gower predator-prey models with nonlinear predator-harvesting ⋮ Phase portraits of linear type centers of polynomial Hamiltonian systems with Hamiltonian function of degree 5 of the form \(H = H_1(x)+H_2(y)\) ⋮ Population models with quasi-constant-yield harvest rates ⋮ Bifurcation analysis in a prey-predator model with nonlinear predator harvesting ⋮ Dynamical Complexity and Numerical Bifurcation Analysis of a ReactionDiffusion Predator-Prey System ⋮ Stability and Hopf bifurcation in a modified Holling-Tanner predator-prey system with multiple delays ⋮ Bifurcation branch of stationary solutions in a general predator-prey system with prey-taxis ⋮ Multiple positive periodic solutions to a predator-prey model with Leslie-Gower Holling-type II functional response and harvesting terms ⋮ Local stability analysis of ratio-dependent predator-prey models with predator harvesting rates ⋮ Bifurcation and stability analysis of a ratio-dependent predator-prey model with predator harvesting rate ⋮ Stability and bifurcation in a stage-structured predator–prey system with Holling-II functional response and multiple delays ⋮ ANALYSIS OF BOGDANOV–TAKENS BIFURCATION OF CODIMENSION 2 IN A GAUSE-TYPE MODEL WITH CONSTANT HARVESTING OF BOTH SPECIES AND DELAY EFFECT

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