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Control of mosaic disease using microbial biostimulants: insights from mathematical modelling
Ricerche di Matematica ( IF 1.2 ) Pub Date : 2020-04-06 , DOI: 10.1007/s11587-020-00508-6
Konstantin B. Blyuss , Fahad Al Basir , Victoria A. Tsygankova , Liudmyla O. Biliavska , Galyna O. Iutynska , Serhii N. Kyrychko , Serhii V. Dziuba , Olexandr I. Tsyliuryk , Olexandr O. Izhboldin

A major challenge to successful crop production comes from viral diseases of plants that cause significant crop losses, threatening global food security and the livelihoods of countries that rely on those crops for their staple foods or source of income. One example of such diseases is a mosaic disease of plants, which is caused by begomoviruses and is spread to plants by whitefly. In order to mitigate negative impact of mosaic disease, several different strategies have been employed over the years, including roguing/replanting of plants, as well as using pesticides, which have recently been shown to be potentially dangerous to the environment and humans. In this paper we derive and analyse a mathematical model for control of mosaic disease using natural microbial biostimulants that, besides improving plant growth, protect plants against infection through a mechanism of RNA interference. By analysing the stability of the system’s steady states, we will show how properties of biostimulants affect disease dynamics, and in particular, how they determine whether the mosaic disease is eradicated or is rather maintained at some steady level. We will also present the results of numerical simulations that illustrate the behaviour of the model in different dynamical regimes, and discuss biological implications of theoretical results for the practical purpose of control of mosaic disease.



中文翻译:

使用微生物生物刺激剂控制花叶病:数学建模的见解

成功实现作物生产的主要挑战来自造成重大作物损失的植物病毒病,威胁全球粮食安全和依赖这些作物作为主粮或收入来源的国家的生计。这种疾病的一个例子是花叶病是由begomoviruses引起的植物,并由粉虱传播到植物中。为了减轻花叶病的负面影响,近年来采用了几种不同的策略,包括对植物进行翻新/重新种植以及使用农药,这些方法最近被证明对环境和人类具有潜在危险。在本文中,我们推导并分析了使用天然微生物生物刺激剂控制花叶病的数学模型,该模型除了改善植物生长外,还通过RNA干扰机制保护植物免受感染。通过分析系统稳态的稳定性,我们将展示生物刺激物的特性如何影响疾病动态,尤其是它们如何确定花叶病是否被根除或维持在一定水平。

更新日期:2020-04-06
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