Abstract In this research article, an epidemiological model is formulated for mosaic disease considering plant and vector populations. Plant host population has been divided into three compartments namely healthy, latently infected and infected ones, and vector population is divided into two compartments: non-infective and infective vectors. The system possesses three equilibria: plant-only, disease-free and endemic equilibrium. Plant-only equilibrium is always unstable; disease-free equilibrium is stable when the basic reproduction number, R0, is less than unity and unstable for when it crosses unity, and ensure existence of an endemic equilibrium which may be stable or can undergo a Hopf bifurcation. Finally, impulse periodic roguing with varied rate and time interval is adopted for cost effective and eco-friendly disease control and future direction of agriculture management. The dynamics of the impulsive system has also been analysed. Detailed numerical simulations are employed to support the analytical results. We found that roguing is most cost effective and useful management for mosaic disease eradication of plants if applied at proper rate and interval.

中文翻译：

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植物花叶病传播的动态和流氓作为替代生物控制的有用性

摘要 在这篇研究文章中，考虑了植物和媒介种群，为花叶病制定了流行病学模型。植物宿主种群分为健康、潜伏感染和感染三个区室，载体种群分为两个区室：非感染性和感染性载体。该系统具有三个平衡：仅植物平衡、无病平衡和地方病平衡。仅植物平衡总是不稳定的；当基本再生数 R0 小于 1 时，无病平衡是稳定的，而当它跨越 1 时则不稳定，并确保存在可能稳定或可以经历 Hopf 分叉的地方性平衡。最后，采用不同速率和时间间隔的脉冲周期性流氓，以实现成本效益和生态友好的疾病控制和农业管理的未来方向。还分析了脉冲系统的动力学。详细的数值模拟被用来支持分析结果。我们发现，如果以适当的比率和间隔应用，流氓是根除植物花叶病的最具成本效益和最有用的管理。