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.
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 16, No. 4, pp. 536–556 October–December, 2019.
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Huriev, Y., Gusak, A. “Predator and Prey” Model Revisited – Influence of External Fluxes and Noise. J Math Sci 246, 648–663 (2020). https://doi.org/10.1007/s10958-020-04770-9
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DOI: https://doi.org/10.1007/s10958-020-04770-9