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"Predator and prey" model revisited - influence of external fluxes and noise

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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,… Click to show full 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.

Keywords: influence external; predator prey; prey model; model revisited; revisited influence

Journal Title: Journal of Mathematical Sciences
Year Published: 2019

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