Traveling wave type solution in a model diffusive predator - prey type Holling II
This paper demonstrates the existence of traveling waves as solutions for a predator - prey model with a Holling II predation function and a onedimensional diffusive term for predators. When performing a qualitative analysis on the model without diffusion, it follows that the model with diffusion pr...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | Costa Rica |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Idioma: | español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/38645 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/38645 |
| Access Level: | acceso abierto |
| Palabra clave: | Gause model limit cycle Hartman Grobman theorem LaSalle principle Hopf bifurcation theorem modelo de Gause ciclo límite teorema de Hartman Grobman principio de LaSalle teorema de la bifurcación de Hopf |
| Sumario: | This paper demonstrates the existence of traveling waves as solutions for a predator - prey model with a Holling II predation function and a onedimensional diffusive term for predators. When performing a qualitative analysis on the model without diffusion, it follows that the model with diffusion presents periodic solutions. Similarly, by assuming a traveling wave-type solution to the diffusion model, it is shown that it has a heteroclinical orbit that connects two equilibrium points, attracted to one of them, and therefore presents wave fronts. |
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