Back to Search
Start Over
Traveling waves in a nonlocal dispersal SIR model with critical wave speed.
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2018, Vol. 458 Issue 2, p1131-1146. 16p. - Publication Year :
- 2018
-
Abstract
- This paper is concerned with the existence of traveling waves for a nonlocal dispersal KermackâMcKendrick epidemic model. As we know, due to the semiflow generated by the model does not have the order-preserving property and the solutions lack of regularity, it is difficult to investigate traveling waves with the critical wave speed. Furthermore, the nonlocal dispersal and bilinear incidence bring additional difficulties to get the boundedness of traveling waves. In the present paper, we overcome these difficulties to obtain the boundedness of traveling waves by analysis technique firstly and then prove the existence of traveling waves under the critical wave speed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 458
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 126296984
- Full Text :
- https://doi.org/10.1016/j.jmaa.2017.10.016