Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

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Bifurcations in model gause predator - prey with discontinuity
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Keywords

planar systems Filippov
bifurcation analysis
limit cycles predatorprey systems
cicly Canard
Sistemas planares de Filippov
análisis de bifurcación
ciclo límite
momodelo depredador - presa
ciclo de Canard

How to Cite

Cortés-García, C. (2021). Bifurcations in model gause predator - prey with discontinuity. Revista De Matemática: Teoría Y Aplicaciones, 28(2), 183–208. https://doi.org/10.15517/rmta.v28i2.36084

Abstract

This paper presents the necessary conditions to guarantee the existence of a stable limit cycle in a predator - prey model and some geometrical aspects to perform a qualitative analysis in two - dimensional Filippov dynamic systems. With these defined guidelines, the dynamics of a predator - prey model are studied when exploitation in predators is restricted if the number of prey is lower than a critical value. The study is carried out by the bifurcation analysis in relation to two parameters: exploitation and protection of the populations to interact.

https://doi.org/10.15517/rmta.v28i2.36084
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