| Author(s) |
Zhao, Meng
Li, Wan-Tong
Ni, Wenjie
|
| Publication Date |
2020-03
|
| Abstract |
<p>This paper deals with the spreading speed of the disease described by a partially degenerate and cooperative epidemic model with free boundaries. We show that the spreading speed is determined by a semi-wave problem. To find such a semi-wave solution, we prove the existence of a monotone solution to a reduced ODE by an upper and lower solution approach. And then we establish the uniqueness of the semi-wave solution via the sliding method. It is demonstrated that the precise asymptotic spreading speed is less than the minimal speed of traveling waves.</p>
|
| Citation |
Discrete and Continuous Dynamical Systems. Series B, 25(3), p. 981-999
|
| ISSN |
1553-524X
1531-3492
|
| Link | |
| Language |
en
|
| Publisher |
AIMS Press
|
| Title |
Spreading speed of a degenerate and cooperative epidemic model with free boundaries
|
| Type of document |
Journal Article
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| Entity Type |
Publication
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