Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed

Autor: Shiqiang Feng, Dapeng Gao
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 9357-9380 (2021)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2021460?viewType=HTML
Popis: This paper is about the existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed. Because of the introduction of nonlocal dispersal and the generality of incidence function, it is difficult to investigate the existence of critical traveling waves. To this end, we construct an auxiliary system and show the existence of traveling waves for the auxiliary system. Employing the results for the auxiliary system, we obtain the existence of traveling waves for the delayed nonlocal dispersal SIR epidemic model with the critical wave speed under mild conditions.
Databáze: Directory of Open Access Journals