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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10.1016/j.aml.2004.08.017

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title = "Global dynamics of reaction-diffusion systems with delays",

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.",

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AU - Wang, Yiming

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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

UR - https://www.scopus.com/pages/publications/20444479105

U2 - 10.1016/j.aml.2004.08.017

DO - 10.1016/j.aml.2004.08.017

M3 - Article

AN - SCOPUS:20444479105

SN - 0893-9659

VL - 18

SP - 1027

EP - 1033

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 9

ER -

Global dynamics of reaction-diffusion systems with delays

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Keywords

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