Abstract

ROMERO, Neisser Pino  and  FERNANDEZ, Christian Ulises Salazar. Mathematical model of a predator-prey food chain: plankton-anchovy. Rev. Mat [online]. 2022, vol.29, n.1, pp.69-103. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v29i1.43747.

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.

Keywords : mathematical ecology; ordinary differential equations; food chain; stationary state; computational simulation..

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