Final Degree Project
Ecología matemática: Dinámica estructural en el modelo Lotka-Volterra
Author/s | Gutiérrez de Alba, José David |
Director | Langa Rosado, José Antonio
Suárez Fernández, Antonio |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2022-06-22 |
Deposit Date | 2022-06-22 |
Academic Title | Universidad de Sevilla. Grado en Matemáticas |
Abstract | This work studies the dynamic of mutualistic ecosystems via Lotka-Volterra
model. After exploring the existence and uniqueness of positive solutions, several
properties of globally stable equilibrium are shown using the ... This work studies the dynamic of mutualistic ecosystems via Lotka-Volterra model. After exploring the existence and uniqueness of positive solutions, several properties of globally stable equilibrium are shown using the Linear Complementarity Theory. In addition, the structural stability of real ecological networks is analyzed in a set of simulations. The evidence arisen from these experiments suggests that cooperation plays a fundamental role in the coexistence of species in large ecosystems. Finally, a new Lotka-Volterra model that includes the indirect interactions between species is proposed, and it is compared with the traditional Lotka-Volterra model. |
Citation | Gutiérrez de Alba, J.D. (2022). Ecología matemática: Dinámica estructural en el modelo Lotka-Volterra. (Trabajo Fin de Grado Inédito). Universidad de Sevilla, Sevilla. |
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