Population dynamics in a Leslie-Gower predator-prey model with proportional prey refuge at low densities

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Canard solutions to ordinary differential equations (34E17)

Cites Work

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Generic bifurcations of low codimension of planar Filippov systems
On a Leslie-Gower predator-prey model incorporating a prey refuge
Elements of applied bifurcation theory.
Stability analysis of a prey-predator model incorporating a prey refuge
Bifurcations on a discontinuous Leslie-Grower model with harvesting and alternative food for predators and Holling II functional response
Bifurcations in discontinuous mathematical models with control strategy for a species
Global analysis of a Holling type II predator-prey model with a constant prey refuge
Dynamics of a Leslie-Gower predator-prey model with Holling type II functional response, Allee effect and a generalist predator
Bifurcations in a discontinuous Leslie-Gower model with harvesting and alternative food for predators and constant prey refuge at low density
The properties of a stochastic model for the predator-prey type of interaction between two species
One-Parameter Bifurcations in Planar Filippov Systems
Solución tipo onda viajera en un modelo difusivo depredador - presa tipo Holling II
Numerical sliding bifurcation analysis: an application to a relay control system
SlideCont: An Auto97 driver for bifurcation analysis of Filippov systems
Population dynamics with protection and harvesting of a species
Additive Allee effect on prey in the dynamics of a Gause predator-prey model with constant or proportional refuge on prey at low or high densities
Impact of prey refuge in a discontinuous Leslie-Gower model with harvesting and alternative food for predators and linear functional response
Bifurcations in a Leslie-Gower model with constant and proportional prey refuge at high and low density

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