Journal
APPLIED MATHEMATICS LETTERS
Volume 112, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106848
Keywords
Tuberculosis; Diffusive model; Traveling wave solutions; Lyapunov functional
Categories
Funding
- National Natural Science Foundation of China [11601293, 61873154]
- Natural Science Foundation of Shanxi Province, PR China [201801D121006]
- Scientific and Technologial Innovation Programs of Higher Education Institutions in Shanxi [ISTP], PR China [2019L0067]
- Cultivate Scientific Research Excellence Programs of Higher Education Institutions in Shanxi, PR China [2020KJ020]
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This study investigates a diffusive tuberculosis model with fast and slow progression, and shows the existence of traveling wave solutions (TWS) if the threshold number R0 is greater than 1 and the wave speed c is higher than the minimum wave speed c*.
A diffusive tuberculosis model with fast and slow progression is investigated. By using sub-super solution method, Schauder's fixed point theorem and Lyapunov functional, we obtain that there exists a traveling wave solutions (TWS) for the model if the threshold number R-0 > 1 and c > c*, where c* is the minimum wave speed. (C) 2020 Elsevier Ltd. All rights reserved.
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