Publicado 2017-08-09
Palabras clave
- Modelo depredador-presa,
- Bifurcación Zip,
- r-estratega,
- K-estratega
Cómo citar
Resumen
El objetivo de este trabajo es presentar un modelo concreto de poblaciones de especies en competición que exhibe la bifurcación Zip. La bifurcación zip fue introducida por Farkas en 1984 para un sistema tridimensional de ecuaciones diferenciales ordinarias que describe un quimiostato. Estudiaremos un sistema tridimensional de ecuaciones diferenciales ordinarias que modela la competición de dos poblaciones distintas de predadores por una única población presa. El sistema usa funciones trigonométricas concretas para representar la tasa de crecimiento de la presa y la respuesta funcional del predador. El modelo exhibe diferentes clases de comportamientos y muestra ejemplos de los llamados principio de exclusión competitiva y la competición de un r-estratega contra un k-estratega. Adicionalmente, para ilustrar la bifurcacion zip, presentaremos algunas simulaciones numéricas.
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Referencias
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