Hopf bifurcation for a class of predator-prey system with small immigration
The subject of this paper concerns with the bifurcation of limit cycles for a predator-prey model with small immigration. Since, in general, the biological systems are not isolated, taking into account immigration in the model becomes more realistic. In this context, we deal with a model with a Holl...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:303171 |
| Acesso em linha: | https://ddd.uab.cat/record/303171 https://dx.doi.org/urn:doi:10.3934/ERA.2024209 |
| Access Level: | acceso abierto |
| Palavra-chave: | Predator-prey system Periodic orbit Limit cycle Hopf bifurcation Averaging equation |
| Resumo: | The subject of this paper concerns with the bifurcation of limit cycles for a predator-prey model with small immigration. Since, in general, the biological systems are not isolated, taking into account immigration in the model becomes more realistic. In this context, we deal with a model with a Holling type I function response and study, using averaging theory of second order, the Hopf bifurcation that can emerge under small perturbation of the biological parameters. |
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