Forced waves and gap formations for a Lotka–Volterra competition model with nonlocal dispersal and shifting habitats

• Published in: Nonlinear analysis: real world applications Vol. 58; p. 103208
• Main Authors: Wang, Jia-Bing, Wu, Chufen
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.04.2021
• Subjects: Forced waves; Gap formations; Lotka–Volterra competition model; Nonlocal dispersal; Shifting habitats; Forced waves; Shifting habitats; Lotka–Volterra competition model; Gap formations; Nonlocal dispersal

This paper is mainly concerned with the forced waves and gap formations for a Lotka–Volterra competition model with nonlocal dispersal and shifting habitats. We first show that there exist two positive numbers c1∗ and c2∗ such that the system admits a forced wave provided that the forcing speed c∈(−...