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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Peking University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1027-1033
Number of pages	7
Journal	Applied Mathematics Letters
Volume	18
Issue number	9
DOIs	https://doi.org/10.1016/j.aml.2004.08.017
Publication status	Published - Sept 2005

Keywords

Delayed diffusive models
Exponential ordering
Monotone semi-flows
Threshold dynamics

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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.

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KW - Exponential ordering

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KW - Threshold dynamics

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Global dynamics of reaction-diffusion systems with delays

Abstract

Keywords

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