Proceedings of the International scientific and practical conference ―Science, technology and art in global context‖ (October 14-16, 2025) / Publisher website: www.naukainfo.com. – Warsaw, Poland, 2025. - 72 p.

61 PHYSICAL AND MATHEMATICAL SCIENCES UDC 519.2 Borysenko Oleksandr PhD (Phys. & Math.), Assoc. Prof. Assoc. Prof. of Probability Theory, Statistics and the Actuarial Mathematics Department, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine Borysenko Olga PhD (Phys. & Math), Assoc. Prof. Assoc. Prof. of Mathematical Physics and Differential Equations Department, National Technical University of Ukraine ―Igor Sikorsky Kyiv Polytechnic Institute‖, Kyiv, Ukraine STOCHASTIC PREDATOR-PREY MODEL WITH FEAR EFFECT AND BEDDINGTON-DeANGELIS FUNCTIONAL RESPONSE PERTURBED BY LÉVY NOISE Abstract: We study the non-autonomous stochastic predator-prey model with fear effect in prey and Beddington-DeAngelis functional response driven by the system of stochastic differential equations with white noise, centered and non- centered Poisson noises. It has been proved the existence and uniqueness of the global positive solution of the considered system.