ON SOME FRACTIONAL MODELS OF LOTKA-VOLTERRA
Keywords:
fractional derivative in Caputo’s sense, fractional integral, prey-predation, Adomian method, Lotka-VolterraDOI:
https://doi.org/10.17654/0975045225009Abstract
In this paper, we study two fractional models of Lotka-Volterra.
We begin by recalling the fundamental notions of fractional analysis. Then we proceed in a second step to give the description of the Adomian method and we finish our work with the description and resolution of some fractional models of Lotka-Volterra. In the first two models, we introduce diffusion terms. In the third, we try to model a food chain with three populations, by putting two species in competition for food (rabbits and sheep), and by introducing a predatory species (wolves).
Received: September 28, 2024
Accepted: November 27, 2024
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