Impact of farming awareness based roguing, insecticide spraying and optimal control on the dynamics of mosaic disease
Impact of farming awareness based roguing, insecticide spraying and optimal control on the dynamics of mosaic disease
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DOI：
10.1007/s11587-020-00522-8
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发表时间：
2020-05-19
影响因子：
1.2
通讯作者：
Ray, Santanu
中科院分区：
文献类型：
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作者：
Al Basir, Fahad;Ray, Santanu
控制措施和耕作知识对于植物病害控制同样重要。在这篇文章中，使用饱和响应函数（非线性感染率）推导出一个数学模型，用于研究基于农业意识的流氓（去除受感染的植物）和杀虫剂喷洒的马赛克病动态。据推测，使用欺骗和喷洒取决于对疾病的认识水平。该模型具有三个平衡点，即平凡平衡点，它总是不稳定的;无病平衡点，它在基本再生数小于1时是稳定的;最后，我们选择了一个最优控制问题，引入三个控制参数，以确定最佳水平的roguing，喷洒和成本有关的媒体意识，具有成本效益的控制花叶病毒病。数值模拟建立的主要结果表明，通过广播，电视广告的宣传活动是重要的疾病的根除。此外，宣传运动，欺骗和喷洒应结合最佳水平，以成本效益控制花叶病毒病。
Control interventions and farming knowledge are equally important for plant disease control. In this article, a mathematical model has been derived using saturated response functions (nonlinear infection rate) for studying the dynamics of mosaic disease with farming awareness based roguing (removal of infected plants) and insecticide spraying . It is assumed that the use of roguing and spraying depend on the level of awareness about the disease. The model possesses three equilibria namely the trivial, which is always unstable, the disease-free equilibrium which is stable if the basic reproduction number is below unity and the coexisting which may be stable or can exhibit Hopf-bifurcation under certain condition. Finally, we have opted an optimal control problem introducing three control parameters for determining the optimal level of roguing, spraying and cost regarding media awareness for cost-effective control of mosaic disease. Numerical simulations establish the main results suggesting that the awareness campaigns through radio, TV advertisement are important for eradication of the disease. Also, awareness campaign, roguing and spraying should be incorporated with optimal level for cost effective control of mosaic disease.