Nonlinear observer of the non-spatial dynamics of anthracnose: Case study of coffee berry disease

David Jaures Fotsa-Mbogne, Duplex Elvis Houpa-Danga and David Bekolle

Applied Mathematics and Computation, 2022, vol. 433, issue C

Abstract: 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.

Keywords: Anthracnose modeling; Nonlinear observer; Stability (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:433:y:2022:i:c:s0096300322004507

DOI: 10.1016/j.amc.2022.127376

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