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Nonlinear observer of the non-spatial dynamics of anthracnose: Case study of coffee berry disease
Applied Mathematics and Computation ( IF 4 ) Pub Date : 2022-07-22 , DOI: 10.1016/j.amc.2022.127376
David Jaures Fotsa-Mbogne , Duplex Elvis Houpa-Danga , David Bekolle

In this paper, an observer for the dynamics of anthracnose disease is proposed based on a non-spatial model provided by the literature. The model is first improved in order to be more realistic. Indeed, conditions on parameters are weakened and therefore applicable to more concrete cases. There are also changes in the equations modeling the dynamics of the berry volume (v) and the rot volume (vr). A high gain observer is constructed and it is proved that it displays an exponential stability under certain conditions. The existence and the conservation of some fundamental properties of anthracnose inhibition rate are also proved. Several simulations are realized to assess the effectiveness of the observer which definitely has the expected behavior.



中文翻译:

炭疽病非空间动力学的非线性观察者:咖啡浆果病的案例研究

在本文中,基于文献提供的非空间模型,提出了炭疽病动态的观察者。该模型首先进行了改进,以使其更加逼真。实际上,参数条件被削弱,因此适用于更具体的情况。模拟浆果体积动力学的方程也有变化(v)和腐烂的体积(vr). 构造了一个高增益观测器,证明它在一定条件下表现出指数稳定性。也证明了炭疽抑制率的一些基本性质的存在和守恒。实现了几个模拟来评估肯定具有预期行为的观察者的有效性。

更新日期:2022-07-22
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