Nonlinear Luenberger-like observers for some anthracnose models

TL;DR

This paper develops nonlinear Luenberger-like observers for improved and more realistic models of anthracnose disease dynamics, analyzing their theoretical properties and demonstrating their effectiveness through simulations.

Contribution

It introduces novel observers for anthracnose models with enhanced realism and broader parameter conditions, extending previous approaches.

Findings

Observers are well-posed and converge theoretically.

Simulations show the observers perform effectively.

Models are improved for better realism.

Abstract

In this paper, we propose observers for the dynamics of anthracnose disease described in [12]. Spatial and non spatial versions of the observers are given following an approach similar to [12]. The models given in [12] are improved in order to be more realistic. The conditions on parameters are more general. There are also changes in the equations modelling the dynamics of the berry volume (v) and the rot volume (v_r). We study theoretically the proposed observers in terms of well-posedness and convergence. We make several simulations to assess the effectiveness of observers which definitely display fairly good behaviour.