Article

A Leslie-Gower predator-prey model with a two-free boundary

A. N. ElmurodovNurilla Yuldashev“Higher Mathematics” National Research University TIIAME,Tashkent,UzbekistanRustam Maqsudov“Higher Mathematics” National Research University TIIAME,Tashkent,UzbekistanGulnoz AbdikayimovaTashkent Technical University,Department of “Higher Mathematics”,Tashkent,Uzbekistan

2022en

ABI

Abstract

In this article, we study the behavior of two species evolving in a domain with a two-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.

Topics

Mathematical and Theoretical Epidemiology and Ecology Models Mathematical Biology Tumor Growth Evolution and Genetic Dynamics

Identifiers

DOI: 10.1109/icisct55600.2022.10146896

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