Spreading dynamics for the diffusive competition model with free boundary and time delay

Discrete and Continuous Dynamical Systems - B 2026 Open access

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Authors: Jian Liu, Zhiming Guo, Hongpeng Guo, Ruiqiang Zhuo, Yijie Li
DOI: 10.3934/dcdsb.2026039
Cited by: 0
References: 33

Abstract

In this paper, we focus on the global dynamics and asymptotic spreading speed for a diffusive Lotka-Volterra type competition system with free boundary and time delay. The well-posedness of solution is established, and some sufficient conditions for spreading and vanishing are derived by giving a suitable initial value compatibility condition. When spreading persists, the asymptotic spreading speed for the invasive species is given by studying an associated semi-wave problem. It is shown that time delay can slow down the spreading speed.

Fields of Study & Subjects

Mathematical and Theoretical Epidemiology and Ecology Models Nonlinear Differential Equations Analysis Mathematical Biology Tumor Growth

Publication details

Journal / source
Discrete and Continuous Dynamical Systems - B
Volume
36
Issue
0
Pages
417–443
Publication date
1 January 2026
Language
EN