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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