Dynamics and steady-state analysis of a consumer-resource model

被引：3
|
作者：
Yao, Ruofei [2 ]
Li, Rui [1 ]
机构：
[1] Shenzhen Technol Univ, Coll Big Data & Internet, Shenzhen, Peoples R China
[2] South China Univ Technol, Sch Math, Guangzhou, PR, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 69卷
基金：
中国国家自然科学基金;
关键词：
Consumer-resource; Global stability; Reaction-diffusion; COMPETITION-DIFFUSION SYSTEM; PREDATOR-PREY MODEL; SPATIAL HETEROGENEITY; GLOBAL DYNAMICS; MIGRATION; STABILITY; SELECTION;
D O I：
10.1016/j.nonrwa.2022.103705
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the dynamics of a consumer-resource reaction diffusion model in the heterogeneous environment, proposed by Zhang et al. (2017). We use the comparison principle to improve the ultimate bounds step by step, and show that the unique steady state is globally asymptotically stable if the resources are fully limited uniformly in space and consumer population abundance is homogeneous in space. (C) 2022 Elsevier Ltd. All rights reserved.
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页数：17
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