Predator and prey model revisited – influence of external fluxesand noise

Huriev, Y. and Gusak, A. M. (2020) Predator and prey model revisited – influence of external fluxesand noise. Journal of Mathematical Sciences, V. 246 (No. 5). pp. 648-663.

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Abstract

The well-known predator-prey model is modified in two ways. First, the regular adding or regular deleting of preys or/and predators is considered. The steady-state and stability diagram are found. Second, random fluctuations of the birthrate and other kinetic coefficients are studied, and the parabolic law of a random walk in the (X,Y)-space is found and proved for small deviations from the steady state.

Item Type: Article
Uncontrolled Keywords: lotka–volterra model ; nonlinear differential equations ; stability analysis ; noise
Subjects: Фізико-математичні науки
Divisions: Навчально-науковий інститут інформаційних та освітніх технологій
Depositing User: Наукова Бібліотека
Date Deposited: 17 Feb 2021 11:57
Last Modified: 15 May 2023 13:06
URI: https://eprints.cdu.edu.ua/id/eprint/4288

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