Population dynamics of a two-stage species with recruitment
This work models and analyzes the qualitative dynamics of a two-stage species with the factor of recruitment. It shows howthe dynamics is determined by a basic threshold parameter R. As a result, it is proved that if R < 1, then the extinctionequilibrium point is globally asymptotically stable, a...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universidad de Castilla-La Mancha |
| Repositorio: | RUIdeRA. Repositorio Institucional de la UCLM |
| OAI Identifier: | oai:ruidera.uclm.es:10578/44153 |
| Acceso en línea: | https://hdl.handle.net/10578/44153 |
| Access Level: | acceso abierto |
| Palabra clave: | Bifurcations Global stability Lyapunov methods Nonlinear dynamical systems Ponulation dynamics Simulations |
| Sumario: | This work models and analyzes the qualitative dynamics of a two-stage species with the factor of recruitment. It shows howthe dynamics is determined by a basic threshold parameter R. As a result, it is proved that if R < 1, then the extinctionequilibrium point is globally asymptotically stable, assuring that the species would disappear under this condition. Numer-ical simulations, produced by varying the parameters obtained from empirical data, show different situations regardingthe evolution of the population and allow us to validate the model |
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