Mathematical analysis of a stochastic reaction-diffusion system modeling predator-prey interactions with prey-taxis and noises
Analysis of PDEs
2023-04-05 v1 Probability
Abstract
This paper is devoted to the mathematical analysis of a nonlinear stochastic reaction-diffusion system modeling predator-prey interactions with prey-taxis and noises. Precisely, we detail the proof of the existence of weak martingale solutions by Faedo-Galerkin approximations and the stochastic compactness method. We prove the nonnegativity of solutions by a stochastic adaptation of the Stampacchia approach. Finally, we prove the uniqueness of the solution via duality technique.
Keywords
Cite
@article{arxiv.2304.01706,
title = {Mathematical analysis of a stochastic reaction-diffusion system modeling predator-prey interactions with prey-taxis and noises},
author = {Mostafa Bendahmane and Herbert Nzeti and Jacques Tagoudjeu and Mohamed Zagour},
journal= {arXiv preprint arXiv:2304.01706},
year = {2023}
}