On the impact of spatial heterogeneity and drift rate in a three-patch two-species Lotka–Volterra competition model over a stream

• Published in: Zeitschrift für angewandte Mathematik und Physik Vol. 74; no. 3
• Main Authors: Chen, Shanshan, Liu, Jie, Wu, Yixiang
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.06.2023; Springer Nature B.V
• Subjects: Carrying capacity; Competition; Drift rate; Engineering; Heterogeneity; Mathematical Methods in Physics; Theoretical and Applied Mechanics; Lotka–Volterra competition model; 34D23; 92D25; 34C12; Evolution of dispersal; 37C65; Patch environment; Directed drift; Random movement; 92D40

In this paper, we study a three-patch two-species Lotka–Volterra competition patch model over a stream network. The individuals are subject to both random and directed movements, and the two species are assumed to be identical except for the movement rates. The environment is heterogeneous, and the...