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Monotonicity, uniqueness, and stability of traveling waves in a nonlocal reaction-diffusion system with delay
- Source :
- Mathematical Methods in the Applied Sciences. 40:6702-6714
- Publication Year :
- 2017
- Publisher :
- Wiley, 2017.
-
Abstract
- The purpose of this paper is to study the traveling wave solutions of a nonlocal reaction-diffusion system with delay arising from the spread of an epidemic by oral-faecal transmission. Under monostable and quasimonotone it is well known that the system has a minimal wave speed c* of traveling wave fronts. In this paper, we first prove the monotonicity and uniqueness of traveling waves with speed c⩾c∗. Then we show that the traveling wave fronts with speed c>c∗ are exponentially asymptotically stable.
- Subjects :
- General Mathematics
010102 general mathematics
Mathematical analysis
General Engineering
Monotonic function
01 natural sciences
Stability (probability)
010101 applied mathematics
Transmission (telecommunications)
Stability theory
Reaction–diffusion system
Traveling wave
Uniqueness
0101 mathematics
Epidemic model
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Volume :
- 40
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........4b13df9c5062fabcdc8ea672798e8c76