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

Jingdong Wei, Jiangbo Zhou, Zaili Zhen and Lixin Tian

Applied Mathematics and Computation, 2019, vol. 363, issue C, -

Abstract: 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.

Keywords: Spatially discrete system; Super-critical and critical traveling waves; Time-delay; Disease model (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:363:y:2019:i:c:49

DOI: 10.1016/j.amc.2019.124621

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