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Session S25 - New Methods and Emerging Applications in Dynamics, Networks, and Control

Tuesday, July 13, 16:00 ~ 16:30 UTC-3

Impact of vector control and the eradication of diseased plants in the Diaphorina citri-HLB pathosystem

Lilian Sofia Sepulveda-Salcedo

Universidad Autónoma de Occidente, Colombia   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

This work is within the framework of the research project Models and mathematical methods for the control of Diaphorina citri. In this project, we hope to develop new tools for the management of the Huanglongbing disease (HLB) of citrus in Colombia, through the use of mathematical tools such as dynamic modeling of populations in time and space, control theory and complex network techniques.

In order to contribute to the evaluation, development and design of effective and efficient strategies for the management of Diaphorina citri and the HLB disease in the conditions of Colombian citrus, the work proposal that we present is aligned with the recommendations of the Plan Strategic of the Colombian Agricultural Sector (PECTIA 2017-2027) and wants to evaluate the impact of vector control and the eradication of diseased plants in the effective management of the disease and in reducing economic losses.

On the one hand, we adapt the method for computing sustainable thresholds for controlled cooperative models introduce for Barrios-Rivera, E, et al. for phatosytem Diaphorina citri-HLB. Taking account of uncertainty in the transmission of the bacteria from the vector to the plant, we want to make the characterization of set of thresholds that refers to constraints that can be sustained when the eradication of diseased plants is implemented as a control of HLB.

In parallel, we also want to evaluate the effect of uncertainty in the proportion of the infected vector with phytophathogen Candidatus Liberibacter asiaticus causing of HLB, on the optimal solution of the problem that aims to maximize production and minimize the costs of applying a control strategy that combines vector control and eradication of diseased plants in a citric crop.

Joint work with Edwin Barrios-Riveras (Universidad del Valle, Colombia), Lumey Pérez-Artiles (Corporación Colombiana De Investigación Agropecuaria - AGROSAVIA, Colombia) and Diego Vicencio-Morales (Universidad Técnica Federico Santa María, Chile).

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