Time-delayed model of immune response in plants

被引：12

作者：

Neofytou, G. ^{[1
]}

Kyrychko, Y. N. ^{[1
]}

Blyuss, K. B. ^{[1
]}

机构：

[1] Univ Sussex, Dept Math, Brighton BN1 9QH, E Sussex, England

来源：

JOURNAL OF THEORETICAL BIOLOGY | 2016年 / 389卷

关键词：

Plant immune system; Mathematical model; Time delays; Post-transcriptional gene silencing; SIR EPIDEMIC MODEL; RNA INTERFERENCE; GLOBAL STABILITY; BACTERIOPHAGE INFECTION; MATHEMATICAL-MODELS; SILENCING PATHWAY; VIRAL SUPPRESSORS; DISEASE DYNAMICS; GENE; DEFENSE;

D O I：

10.1016/j.jtbi.2015.10.020

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In the studies of plant infections, the plant immune response is known to play an essential role. In this paper we derive and analyse a new mathematical model of plant immune response with particular account for post-transcriptional gene silencing (PIGS). Besides biologically accurate representation of the PIGS dynamics, the model explicitly includes two time delays to represent the maturation time of the growing plant tissue and the non-instantaneous nature of the PTGS. Through analytical and numerical analysis of stability of the steady states of the model we identify parameter regions associated with recovery and resistant phenotypes, as well as possible chronic infections. Dynamics of the system in these regimes is illustrated by numerical simulations of the model. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：28 / 39

页数：12

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