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

被引：0
|
作者：
Xiong, Zixiao [1 ,2 ]
Hu, Jing [1 ,2 ]
Ye, Ming [3 ,4 ]
Zhang, Qimin [1 ,2 ]
机构：
[1] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
[2] Ningxia Univ, Ningxia Basic Sci Res Ctr Math, Yinchuan 750021, Peoples R China
[3] Florida State Univ, Dept Sci Comp, Tallahassee, FL 32306 USA
[4] Florida State Univ, Dept Earth Ocean & Atmospher Sci, Tallahassee, FL 32306 USA
来源：
CHAOS SOLITONS & FRACTALS | 2024年 / 185卷
关键词：
Vegetation-water model; Time-space white noise; Mild solution; Well-posedness; Persistence and extinction; SPATIAL HETEROGENEITY; STABILITY; PATTERNS; DISTURBANCE; DRIVEN;
D O I：
10.1016/j.chaos.2024.115112
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页数：17
相关论文
共 50 条
12345