| Issue |
E3S Web of Conf.
Volume 401, 2023
V International Scientific Conference “Construction Mechanics, Hydraulics and Water Resources Engineering” (CONMECHYDRO - 2023)
|
|
|---|---|---|
| Article Number | 04062 | |
| Number of page(s) | 10 | |
| Section | Mechanization, Electrification of Agriculture and Renewable Energy Sources | |
| DOI | https://doi.org/10.1051/e3sconf/202340104062 | |
| Published online | 11 July 2023 | |
Free boundary problem for predator-prey model
1 “Tashkent Institute of Irrigation and Agricultural Mechanization Engineers” National Research University, Tashkent, Uzbekistan
2 Institute of Mathematics named after V.I. Romanovsky at the Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan
3 Tashkent State Pedagogical University, Tashkent, Uzbekistan
4 Tashkent State Transport University, Tashkent, Uzbekistan
* Corresponding author: elmurodov@mahinst.uz
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.
© The Authors, published by EDP Sciences, 2023
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