| Title:
|
Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications (English) |
| Author:
|
He, Yanli |
| Author:
|
Li, Kun |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
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1572-9109 (online) |
| Volume:
|
66 |
| Issue:
|
4 |
| Year:
|
2021 |
| Pages:
|
641-656 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we are concerned with the existence of traveling waves in a class of delayed higher dimensional lattice differential systems with competitive interactions. Due to the lack of quasimonotonicity for reaction terms, we use the cross iterative and Schauder's fixed-point theorem to prove the existence of traveling wave solutions. We apply our results to delayed higher-dimensional lattice reaction-diffusion competitive system. (English) |
| Keyword:
|
higher dimensional lattice |
| Keyword:
|
traveling wave solution |
| Keyword:
|
delay |
| Keyword:
|
upper and lower solutions |
| MSC:
|
34K10 |
| MSC:
|
37L60 |
| MSC:
|
39A10 |
| idZBL:
|
07396171 |
| idMR:
|
MR4283307 |
| DOI:
|
10.21136/AM.2021.0159-19 |
| . |
| Date available:
|
2021-07-09T08:15:44Z |
| Last updated:
|
2023-09-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148976 |
| . |
| Reference:
|
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