Work

The dynamics of a nonlocal non-monotone reaction-diffusion model with free boundary

Year: 2025

Type: article

Abstract: This paper is concerned with the dynamics for a class of non-local reaction-diffusion equations with non-quasi-monotonicity and double front free boundaries. We mainly obtained the existence and uniqueness of the global positive solution, as well as its corresponding asymptotical behaviors. We also illustrated the traveling wave solutions of the equations involved with finite length by phase plane analysis. Moreover, we obtained the estimate for the spreading speed when spreading happens.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2025062

Authors: Jia-Feng Cao, Zhi-Hao Xu, Jie Wang

Institution: Lanzhou University of Technology

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: G3308662716, G4770423984, G6384050473