Invasion analysis of a two-species Lotka-Volterra competition model in an advective patchy environment

被引：15

作者：

Chen, Shanshan ^{[1
]}

Liu, Jie ^{[2
]}

Wu, Yixiang ^{[3
]}

机构：

[1] Harbin Inst Technol, Dept Math, Weihai, Shandong, Peoples R China

[2] Harbin Inst Technol, Sch Math, Harbin 150001, Heilongjiang, Peoples R China

[3] Middle Tennessee State Univ, Dept Math, Murfreesboro, TN 37130 USA

来源：

STUDIES IN APPLIED MATHEMATICS | 2022年 / 149卷 / 03期

基金：

中国国家自然科学基金;

关键词：

directed movement; evolution of dispersal; global dynamics; Lotka-Volterra competition model; patch environment; SPATIOTEMPORAL MODEL; GLOBAL DYNAMICS; COEXISTENCE; DISPERSAL; EVOLUTION; PERSISTENCE; SYSTEMS; EXCLUSION; PATTERNS; SPREAD;

D O I：

10.1111/sapm.12520

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a two-species Lotka-Volterra competition patch model over a stream, where the individuals are subject to both random and directed movements and the two species are assumed to be identical except for the movement rates. We treat one species as the resident species and the other one as a mutant/invading species and study whether the resident species can be invaded. We also obtain the global dynamics of the model for certain parameter ranges.

引用

页码：762 / 797

页数：36

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