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Huriev Ya. "Predator and prey" model revisited - influence of external fluxes and noise [Електронний ресурс] / Ya. Huriev, A. Gusak // Український математичний вісник. - 2019. - Т. 16, № 4. - С. 536-556. - Режим доступу: http://nbuv.gov.ua/UJRN/UMvis_2019_16_4_8 Well-known predator-prey model is modified in two ways. First, regular adding or regular deleting of preys or/and predators is considered. Steady-state and stability diagram is found. Second, random fluctuations of the birthrate and other kinetic coefficients are studied - parabolic law of random walk in (X, Y)-space is found and proved for small deviations from steady-state.
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