Population dynamics in a reaction-diffusion-advection predator-prey model with Beddington-DeAngelis functional response

被引：2
|
作者：
Zhou, Genjiao [1 ]
Ma, Li [2 ]
Wang, Yin [3 ]
机构：
[1] Gannan Normal Univ, Coll Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China
[2] Guangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou 510320, Guangdong, Peoples R China
[3] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 77卷
基金：
中国国家自然科学基金;
关键词：
Environmental heterogeneity; Coexistence steady state; Persistence; Beddington-DeAngelis interaction term; Advection; GLOBAL DYNAMICS; STEADY-STATES; SYSTEM; COMPETITION; INTERFERENCE; ENVIRONMENTS; COEXISTENCE; UNIQUENESS; EVOLUTION; GROWTH;
D O I：
10.1016/j.nonrwa.2023.104059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a two-species predator-prey model in advective heterogeneous environments with the Beddington-DeAngelis interaction term, where the Danckwerts boundary conditions are imposed. Applying the comparison principle for predator-prey system and persistence theory, we draw a clear picture on the long-time dynamics, which also indicates the existence and non-existence of the coexistence steady state solutions. Specially, the uniqueness of the coexistence steady state solutions is considered under certain conditions.
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页数：14
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