Abstract
We study a cooperative system of integro-differential equations. It is shown that the system in general has multiple spreading speeds, and when the linear determinacy conditions are satisfied all the spreading speeds are the same and equal to the spreading speed of the linearized system. The existence of traveling wave solutions is established via integral systems. It is shown that when the linear determinacy conditions are satisfied, if the unique spreading speed is not zero then it may be characterized as the slowest speed of a class of traveling wave solutions. Some examples are presented to illustrate the theoretical results.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1663-1684 |
| Number of pages | 22 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 20 |
| Issue number | 6 |
| DOIs | |
| State | Published - Aug 1 2015 |
Keywords
- Integral system
- Integral-differential system
- Linear determinacy
- Spreading speed
- Traveling wave solution
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics