Global dynamics of reaction-diffusion systems with delays

Yifu Wang; Yiming Wang

doi:10.1016/j.aml.2004.08.017

Global dynamics of reaction-diffusion systems with delays

Yifu Wang^*, Yiming Wang^*

^*此作品的通讯作者

数学学院

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

Taking the effect of spatial diffusion into account, we introduce an exponential ordering and give sufficient conditions under which reaction-diffusion systems with delays generate monotone semi-flows on a suitable phase space even if they are not quasi-monotone. The powerful theory of monotone semi-flows is applied to describe the threshold dynamics for a nonlocal delayed reaction-diffusion system modelling the spread of bacterial infections.

源语言	英语
页（从-至）	1027-1033
页数	7
期刊	Applied Mathematics Letters
卷	18
期	9
DOI	https://doi.org/10.1016/j.aml.2004.08.017
出版状态	已出版 - 9月 2005

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Wang, Y., & Wang, Y. (2005). Global dynamics of reaction-diffusion systems with delays. Applied Mathematics Letters, 18(9), 1027-1033. https://doi.org/10.1016/j.aml.2004.08.017

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AB - Taking the effect of spatial diffusion into account, we introduce an exponential ordering and give sufficient conditions under which reaction-diffusion systems with delays generate monotone semi-flows on a suitable phase space even if they are not quasi-monotone. The powerful theory of monotone semi-flows is applied to describe the threshold dynamics for a nonlocal delayed reaction-diffusion system modelling the spread of bacterial infections.

KW - Delayed diffusive models

KW - Exponential ordering

KW - Monotone semi-flows

KW - Threshold dynamics

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Global dynamics of reaction-diffusion systems with delays

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