Free boundary problem for a nonlocal time-periodic diffusive competition model

Autor: Qiaoling Chen, Fengquan Li, Sanyi Tang, Feng Wang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 20, Iss 9, Pp 16471-16505 (2023)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2023735?viewType=HTML
Popis: In this paper we consider a free boundary problem for a nonlocal time-periodic competition model. One species is assumed to adopt nonlocal dispersal, and the other one adopts mixed dispersal, which is a combination of both random dispersal and nonlocal dispersal. We first prove the global well-posedness of solutions to the free boundary problem with more general growth functions, and then discuss the spreading and vanishing phenomena. Moreover, under the weak competition condition, we study the long-time behaviors of solutions for the spreading case.
Databáze: Directory of Open Access Journals