Population dynamics of a two-stage migratory species with predation and capture
This paper provides a mathematical model for the evolution of a two-stage migratory species in an environment with predation and capture. Then, the qualitative dynamics of the model and its bifurcations are analyzed. In this sense, it is proved that the dynamics is determined by a threshold paramete...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Recursos: | Universidad de Castilla-La Mancha |
| Repositorio: | RUIdeRA. Repositorio Institucional de la UCLM |
| OAI Identifier: | oai:ruidera.uclm.es:10578/44165 |
| Acesso em linha: | https://doi.org/10.1016/j.nonrwa.2013.09.003 https://hdl.handle.net/10578/44165 |
| Access Level: | acceso abierto |
| Palavra-chave: | Mathematical model Migratory species Population dynamics Predation and capture |
| Resumo: | This paper provides a mathematical model for the evolution of a two-stage migratory species in an environment with predation and capture. Then, the qualitative dynamics of the model and its bifurcations are analyzed. In this sense, it is proved that the dynamics is determined by a threshold parameter . As a result, it is obtained that if , then the extinction equilibrium point is globally asymptotically stable, which assures that both species, prey and predators, are endangered. Finally, varying the parameters, different numerical simulations are produced from empirical data, showing different scenarios of the evolution of the populations which allow us to validate the model. |
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