A Predator–Prey Model from a Collective Dynamics and Self-Propelled Particles Approach

The definition and description of the dynamics of a predator–prey system are some of the fundamental problems of population biology. Since 1925, several models have been introduced. Although they are highly effective, most of them neglect certain relevant criteria such as the spatial and temporal di...

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Bibliographic Details
Published inComputer sciences & mathematics forum Vol. 7; no. 1; p. 50
Main Author Yaya Youssouf Yaya
Format Journal Article
LanguageEnglish
Published MDPI AG 01.04.2023
Subjects
Brownian particles
collective behavior
limit cycle
predator–prey
reaction–diffusion
self-propelled particles
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Summary:The definition and description of the dynamics of a predator–prey system are some of the fundamental problems of population biology. Since 1925, several models have been introduced. Although they are highly effective, most of them neglect certain relevant criteria such as the spatial and temporal distribution of the studied species. We introduced these criteria by coupling two models designed initially for collective dynamics. The first is for predator mobility and is a Vicsek-type model, and the second is a Brownian particle (BP) model for prey. We observed, as occurs in the classical models, periodic cycles of the densities of predators and prey. In this case, the period of oscillations depends on the collective dynamics parameters.
ISSN:2813-0324
DOI:10.3390/IOCMA2023-14375