Abstract
The paper studies dynamic model of interacting populations of the type “predator - two preys”. A detailed analysis of the oscillation regime is carried out. Under the conditions of the bifurcation parameter, where coexisting of oscillatory and equilibrium regimes is detected, separable surfaces are constructed. This surface is the boundary of the basins of their attraction. It is shown that the influence of an external random disturbance can destroy the oscillatory regime of coexistence of three populations and lead to the extinction of two populations. Using the stochastic sensitivity function, probabilistic mechanisms of destruction of oscillatory regimes are manifested.
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