Time-delayed model of immune response in plants

Neofytou, G, Kyrychko, Y N and Blyuss, K B (2016) Time-delayed model of immune response in plants. Journal of Theoretical Biology, 389. pp. 28-39. ISSN 0022-5193

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Abstract

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 (PTGS). Besides biologically accurate representation of the PTGS 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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
Depositing User: Konstantin Blyuss
Date Deposited: 02 Dec 2015 10:10
Last Modified: 07 Mar 2017 04:13
URI: http://sro.sussex.ac.uk/id/eprint/58535

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