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

 

Uloženo v:
Podrobná bibliografie
Autoři: Pino Romero, Neisser, Salazar Fernández, Christian Ulises
Médium: artículo original
Stav:Versión publicada
Datum vydání:2021
Popis: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.
Země:Portal de Revistas UCR
Instituce:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Jazyk:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/43747
On-line přístup:https://revistas.ucr.ac.cr/index.php/matematica/article/view/43747
Klíčové slovo:mathematical ecology
ordinary differential equations
food chain
stationary state
computational simulation
ecología matemática
ecuaciones diferenciales ordinarias
cadena alimenticia
estado estacionario
simulación computacional