Free boundary problem for predator-prey model
A. N. Elmurodov“Tashkent Institute of Irrigation and Agricultural Mechanization Engineers” National Research University, Tashkent, UzbekistanAbduraxmon NorovInstitute of Mathematics named after V.I. Romanovsky at the Academy of Sciences of the Republic of Uzbekistan, Tashkent, UzbekistanN YuldashevaTashkent State Pedagogical University, Tashkent, UzbekistanSanjarbek YuldashevTashkent State Transport University, Tashkent, UzbekistanMavjuda SadullayevaTashkent State Transport University, Tashkent, Uzbekistan
ABI
Abstract
In this article, we study the behavior of two species evolving in a domain with a free boundary. This system mimics the spread of invasive or new predator species, in which free boundaries represent the expanding fronts of predator species and are described by the Stefan condition. A priori estimates for the required functions are established. These estimates are used to prove the existence and uniqueness of the solution.
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