Super-critical and critical traveling waves in a two-component lattice dynamical model with discrete delay

A delayed lattice dynamical system arising in a disease model is proposed to model the transmission of communicable disease. The existence of nontrivial, positive, bounded super-critical and critical traveling waves for this system are established, respectively. Meanwhile, the non-existence of such...

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Bibliographic Details
Published in:Applied mathematics and computation 2019-12, Vol.363, p.124621, Article 124621
Main Authors: Wei, Jingdong, Zhou, Jiangbo, Zhen, Zaili, Tian, Lixin
Format: Article
Language:English
Subjects:
Disease model
Spatially discrete system
Super-critical and critical traveling waves
Time-delay
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Summary:A delayed lattice dynamical system arising in a disease model is proposed to model the transmission of communicable disease. The existence of nontrivial, positive, bounded super-critical and critical traveling waves for this system are established, respectively. Meanwhile, the non-existence of such traveling waves for the system is obtained. Moreover, the effects of diffusive rate of infective individuals and time-delay on critical speed are discussed, accordingly.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2019.124621