Persistence and extinction of a reaction–diffusion vegetation-water system with time–space white noise

Zixiao Xiong, Jing Hu, Ming Ye and Qimin Zhang

Chaos, Solitons & Fractals, 2024, vol. 185, issue C

Abstract: This study considers an ecosystem subjected to stochastic fluctuations, and presents a stochastic reaction–diffusion vegetation-water model with time–space noise. Using a truncation and stop time method, this paper gives several properties important to the mild solution such as existence uniqueness, positivity, and continuity with respect to initial values. Sufficient conditions for persistence and extinction of vegetation are derived. Theoretical results are demonstrated using numerical simulations.

Keywords: Vegetation-water model; Time–space white noise; Mild solution; Well-posedness; Persistence and extinction (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006647

DOI: 10.1016/j.chaos.2024.115112

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