Spreading speed of a degenerate and cooperative epidemic model with free boundaries

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
Publisher
AIMS Press
Title
Spreading speed of a degenerate and cooperative epidemic model with free boundaries
Type of document
Journal Article
Entity Type
Publication

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