时间周期的离散SIS模型的传播动力学

陈妍

doi:10.21656/1000-0887.420350

时间周期的离散SIS模型的传播动力学

doi: 10.21656/1000-0887.420350

陈妍

西安电子科技大学数学与统计学院，西安 710071

详细信息

作者简介:
陈妍(1997—)，女，硕士生(E-mail：945936102@qq.com)

中图分类号: O175.14
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- 被引次数: 0
出版历程
- 收稿日期: 2021-11-19
- 录用日期: 2022-01-15
- 修回日期: 2022-01-15
- 网络出版日期: 2022-09-26
- 刊出日期: 2022-10-31

Propagation Dynamics of a Discrete SIS Model With Time Periodicity

CHEN Yan

School of Mathematics and Statistics, Xidian University, Xi’an 710071, P.R.China

摘要

摘要:
该文研究了一类具有时间周期的空间离散多种群SIS模型的传播力学。首先，借助周期单调半流的传播速度与行波理论，证明了渐近传播速度c_*的存在性。其次，利用比较原理，证得了渐近传播速度即为单调周期行波解的最小波速。
- 时间周期 /
- 空间离散 /
- 渐近传播速度 /
- 周期行波解
Abstract:
The propagation dynamics was studied for a class of spatially discrete multi-type SIS epidemic model with time periodicity. Firstly, the theory of spreading speeds and travelling waves for monotonic periodic semiflows was applied to prove the existence of asymptotic spreading speed c_*. Secondly, by means of the comparison principle, the asymptotic spreading speed was proved to coincide with the minimal wave speed of monotonic periodic traveling waves.
- time periodicity /
- spatially discrete /
- asymptotic spreading speed /
- periodic traveling wave solution

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参考文献(19)

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