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Dynamical of curative and preventive treatments in a two-stage plant disease model of fractional order
Chaos, Solitons & Fractals ( IF 7.8 ) Pub Date : 2020-05-19 , DOI: 10.1016/j.chaos.2020.109879
A.M.A. El-Sayed , S.Z. Rida , Y.A. Gaber

Plants are really important for the planet and for all living things. Plants absorb carbon dioxide and release oxygen from their leaves, which humans and other animals need to breathe. Living things need plants to live - they eat them and live on them. Therefore, understanding plant disease dynamics is important as it can provide insightful knowledge on plant disease transmission. So, in this work, we introduce the fractional order model for the plant diseases in a two-stage infection. We show that this model possesses non-negative solutions as desired in any population dynamics. We discuss the stability of a disease free and an endemic equilibrium for the proposed model. We carry out numerical solutions to demonstrate the theoretical analysis by applying the fractional Euler method (FEM).



中文翻译:

分数阶两阶段植物疾病模型中治愈性和预防性治疗的动力学

植物对于地球和所有生物都非常重要。植物吸收二氧化碳并从其叶子中释放氧气,人类和其他动物都需要呼吸。生物需要植物生存-他们吃植物并赖以生存。因此,了解植物病害动态非常重要,因为它可以提供有关植物病害传播的深入知识。因此,在这项工作中,我们介绍了两阶段感染中植物病害的分数阶模型。我们表明,该模型拥有任何人口动态中所需要的非负解。我们讨论了该模型的无病稳定性和地方病平衡。我们采用分数欧拉方法(FEM)进行数值解,以证明理论分析。

更新日期:2020-05-19
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