SPREADING SPEED FOR A TIME-SPACE PERIODIC EPIDEMIC MODEL IN DISCRETE MEDIA

doi:10.1007/s10473-025-0314-4

数学物理学报(英文版) ›› 2025, Vol. 45 ›› Issue (3): 1005-1018.doi: 10.1007/s10473-025-0314-4

SPREADING SPEED FOR A TIME-SPACE PERIODIC EPIDEMIC MODEL IN DISCRETE MEDIA

Haiqin ZHAO

School of Mathematics and Statistics, Xidian University, Xi'an 710071, China

收稿日期:2024-03-14 修回日期:2024-09-26 出版日期:2025-05-25 发布日期:2025-09-30

SPREADING SPEED FOR A TIME-SPACE PERIODIC EPIDEMIC MODEL IN DISCRETE MEDIA

Haiqin ZHAO

School of Mathematics and Statistics, Xidian University, Xi'an 710071, China

Received:2024-03-14 Revised:2024-09-26 Online:2025-05-25 Published:2025-09-30
About author:Haiqin ZHAO, E-mail: zhaohaiqin@xidian.edu.cn
Supported by:
Natural Science Basic Research Program of Shanxi (Grant No. 2024JC-YBMS-025) and the Innovation Capability Support Program of Shanxi (Grant No. 2024RS-CXTD-88)

摘要/Abstract

摘要： This paper is devoted to investigating the spreading speed of a time-space periodic epidemic model with vital dynamics and standard incidence in discrete media. We establish the existence of the leftward and rightward spreading speeds for the infective individuals, which can be used to estimate how fast the disease spreads. To overcome the difficulty arising from the lack of comparison principle for such time-space periodic non-monotone systems, our proof is mainly based on constructing a series of scalar time-space periodic equations, establishing the spreading speeds for such auxiliary equations and using comparison methods. It may be the first work to study the spreading speed for time-space periodic non-monotone systems.

关键词: spreading speed, epidemic models, time-space periodic habitats

Abstract: This paper is devoted to investigating the spreading speed of a time-space periodic epidemic model with vital dynamics and standard incidence in discrete media. We establish the existence of the leftward and rightward spreading speeds for the infective individuals, which can be used to estimate how fast the disease spreads. To overcome the difficulty arising from the lack of comparison principle for such time-space periodic non-monotone systems, our proof is mainly based on constructing a series of scalar time-space periodic equations, establishing the spreading speeds for such auxiliary equations and using comparison methods. It may be the first work to study the spreading speed for time-space periodic non-monotone systems.

Key words: spreading speed, epidemic models, time-space periodic habitats

中图分类号:

35K57

Haiqin ZHAO. SPREADING SPEED FOR A TIME-SPACE PERIODIC EPIDEMIC MODEL IN DISCRETE MEDIA[J]. 数学物理学报(英文版), 2025, 45(3): 1005-1018.

Haiqin ZHAO. SPREADING SPEED FOR A TIME-SPACE PERIODIC EPIDEMIC MODEL IN DISCRETE MEDIA[J]. Acta mathematica scientia,Series B, 2025, 45(3): 1005-1018.

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SPREADING SPEED FOR A TIME-SPACE PERIODIC EPIDEMIC MODEL IN DISCRETE MEDIA

SPREADING SPEED FOR A TIME-SPACE PERIODIC EPIDEMIC MODEL IN DISCRETE MEDIA

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