The Predator-Prey Compartment Model in the Ring Area

The work examines the predator-prey system in a linear range. The model takes into account the non-linear growthin the number of victims. The area is representedby a system of zones between which individuals are exchanged. Fixed points and their stability conditions are defined forthe local model. Numerical solutions with an inhomogeneous distribution of individuals acrossthe chambers are constructed for the chamber model. Heterogeneity of distribution occurs whenthe predator is highly mobile.

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Publication Details

Journal
Bulletin of Science and Practice
Published
2025-02-15
DOI
https://doi.org/10.33619/2414-2948/111/05
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
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article

The Predator-Prey Compartment Model in the Ring Area

А. Б. Гончарова, Eugeny P. Kolpak, Natalya A. Gasratova
Bulletin of Science and Practice
Mathematical and Theoretical Epidemiology and Ecology Models
article

The Predator-Prey Compartment Model in the Ring Area

А. Б. Гончарова, Eugeny P. Kolpak, Natalya A. Gasratova
article en

Abstract

The work examines the predator-prey system in a linear range. The model takes into account the non-linear growthin the number of victims. The area is representedby a system of zones between which individuals are exchanged. Fixed points and their stability conditions are defined forthe local model. Numerical solutions with an inhomogeneous distribution of individuals acrossthe chambers are constructed for the chamber model. Heterogeneity of distribution occurs whenthe predator is highly mobile.

Bulletin of Science and PracticeVol. 11(2)
St Petersburg University (RU)
Openalex Percentile: Top 96%
Mathematical and Theoretical Epidemiology and Ecology Models
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The Predator-Prey Compartment Model in the Ring Area — А. Б. Гончарова, Eugeny P. Kolpak, et al. · Bulletin of Science and Practice (2025) | TGRS Research Map | TGRS