Bifurcations in model gause predator - prey with discontinuity
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 mo...
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2021 |
| Country: | Costa Rica |
| Institution: | Universidad de Costa Rica |
| Repository: | Portal de Revistas UCR |
| Language: | Spanish |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/36084 |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/36084 |
| Access Level: | Open access |
| Keyword: | 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 |
| Summary: | 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. |
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