Bifurcaciones en modelo gause depredador - presa con discontinuidad

DOI10.15517/rmta.v28i2.36084OpenAlexW3183922117MaRDI QIDQ5042043

Christian Cortés García

Publication date: 18 October 2022

Published in: Revista de Matemática: Teoría y Aplicaciones (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15517/rmta.v28i2.36084

zbMATH Keywords

limit cyclesbifurcation analysispredator-prey systemscicly Canardplanar systems Filippov

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) 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) Global stability of solutions to ordinary differential equations (34D23)

Related Items (6)

Bifurcations in discontinuous mathematical models with control strategy for 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 ⋮ Bifurcations in a discontinuous Leslie-Gower model with harvesting and alternative food for predators and constant prey refuge at low density ⋮ Bifurcations on a discontinuous Leslie-Grower model with harvesting and alternative food for predators and Holling II functional response

Cites Work

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• Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
• Generic bifurcations of low codimension of planar Filippov systems
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Mathematical biology. Vol. 1: An introduction.
• One-Parameter Bifurcations in Planar Filippov Systems
• Elements of applied bifurcation theory

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