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2021 Traveling Waves for a Discrete Diffusion Epidemic Model with Delay
Jingdong Wei, Zaili Zhen, Jiangbo Zhou, Lixin Tian
Taiwanese J. Math. Advance Publication 1-36 (2021). DOI: 10.11650/tjm/201209

Abstract

This paper is concerned with traveling wave solutions in a discrete diffusion epidemic model with delayed transmission. Employing the way of contradictory discussions and the bilateral Laplace transform, we obtain the nonexistence of nontrivial positive bounded traveling wave solutions. Utilizing the super-/sub-solutions method and the fixed point theory, we derive the existence of nontrivial positive traveling wave solutions with both super-critical and critical speeds. Our results indicate that the critical speed is the minimal speed.

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Jingdong Wei. Zaili Zhen. Jiangbo Zhou. Lixin Tian. "Traveling Waves for a Discrete Diffusion Epidemic Model with Delay." Taiwanese J. Math. Advance Publication 1 - 36, 2021. https://doi.org/10.11650/tjm/201209

Information

Published: 2021
First available in Project Euclid: 30 December 2020

Digital Object Identifier: 10.11650/tjm/201209

Subjects:
Primary: 34C37, 34K10, 46N60, 92D25

Rights: Copyright © 2021 The Mathematical Society of the Republic of China

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