Bifurcations analysis of Leslie-Gower predator-prey models with nonlinear predator-harvesting
From MaRDI portal
Publication:2357598
DOI10.3934/dcdss.2017065zbMath1365.92112OpenAlexW2622602151MaRDI QIDQ2357598
Publication date: 14 June 2017
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2017065
predator-prey modelBogdanov-Takens bifurcationbi-stabilitynonlinear predator harvestingcodimension 3
Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)
Related Items (2)
Bifurcation branch of stationary solutions in a general predator-prey system with prey-taxis ⋮ Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bifurcation analysis in a predator-prey model with constant-yield predator harvesting
- Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with prey harvesting
- Dynamical complexity of a prey-predator model with nonlinear predator harvesting
- Phase portraits, Hopf bifurcations and limit cycles of the Holling-Tanner models for predator-prey interactions
- Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis-Menten type prey-harvesting
- Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting
- Phase portraits of predator--prey systems with harvesting rates
- About deterministic extinction in ratio-dependent predator-prey models
- Bifurcation analysis of a predator-prey system with generalised Holling type III functional response
- Dynamics of ratio-dependent predator-prey models with nonconstant harvesting
- Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Persistence in food webs: Holling-type food chains
- Singularities of vector fields on the plane
- Stability regions in predator-prey systems with constant-rate prey harvesting
- Qualitative analysis of a predator-prey system with limit cycles
- Elements of applied bifurcation theory.
- Global qualitative analysis of a ratio-dependent predator-prey system
- Conservation of an ecosystem though optimal taxation.
- On a nonlinear nonautonomous predator--prey model with diffusion and distributed delay
- Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3
- Global Stability for a Class of Predator-Prey Systems
- Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
This page was built for publication: Bifurcations analysis of Leslie-Gower predator-prey models with nonlinear predator-harvesting
