Mathematical model of a predator-prey food chain: plankton-anchovy

 

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Detalles Bibliográficos
Autores: Pino Romero, Neisser, Salazar Fernández, Christian Ulises
Formato: artículo original
Estado:Versión publicada
Fecha de Publicación:2021
Descripción:In the present work, a mathematical model is built that represents the dynamics that exist between phytoplankton (F), zooplankton (Z) and anchovy (A) from the model of Samares and Anal. This food chain occurs in the Peruvian maritime area where there is a three-link ecosystem, in addition to the fact that the food chain is a main axis in the ecological balance within the sea. The behavior of the populations (maritime species) will be studied where the stability of the model (Routh-Hurwitz criterion) in the long term will be determined, where it will be analyzed with the Dulac-Bendixon criterion to evaluate the existence of closed periodic orbits. And the respective computational simulations to complement the study and interpret the situations that affect the maritime ecosystem.
País:Portal de Revistas UCR
Institución:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Lenguaje:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/43747
Acceso en línea:https://revistas.ucr.ac.cr/index.php/matematica/article/view/43747
Palabra clave:mathematical ecology
ordinary differential equations
food chain
stationary state
computational simulation
ecología matemática
ecuaciones diferenciales ordinarias
cadena alimenticia
estado estacionario
simulación computacional