| Autor: |
Ramírez JE; Departamento de Física de Partículas, Universidad de Santiago de Compostela, E-15782 Santiago de Compostela, España.; Instituto Galego de Física de Altas Enerxías, Universidad de Santiago de Compostela, E-15782 Santiago de Compostela, España., Pajares C; Departamento de Física de Partículas, Universidad de Santiago de Compostela, E-15782 Santiago de Compostela, España.; Instituto Galego de Física de Altas Enerxías, Universidad de Santiago de Compostela, E-15782 Santiago de Compostela, España., Martínez MI; Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Apartado Postal 165, 72000 Puebla, Puebla, México., Rodríguez Fernández R; Instituto Galego de Física de Altas Enerxías, Universidad de Santiago de Compostela, E-15782 Santiago de Compostela, España., Molina-Gayosso E; Universidad Politécnica de Puebla, Tercer carril del Ejido Serrano, 72640, Juan C. Bonilla, Puebla, México., Lozada-Lechuga J; Universidad Politécnica de Puebla, Tercer carril del Ejido Serrano, 72640, Juan C. Bonilla, Puebla, México., Fernández Téllez A; Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Apartado Postal 165, 72000 Puebla, Puebla, México. |
| Abstrakt: |
We propose a strategy based on the site-bond percolation to minimize the propagation of Phytophthora zoospores on plantations, consisting in introducing physical barriers between neighboring plants. Two clustering processes are distinguished: (i) one of cells with the presence of the pathogen, detected on soil analysis, and (ii) that of diseased plants, revealed from a visual inspection of the plantation. The former is well described by the standard site-bond percolation. In the latter, the percolation threshold is fitted by a Tsallis distribution when no barriers are introduced. We provide, for both cases, the formulas for the minimal barrier density to prevent the emergence of the spanning cluster. Though this work is focused on a specific pathogen, the model presented here can also be applied to prevent the spreading of other pathogens that disseminate, by other means, from one plant to the neighboring ones. Finally, the application of this strategy to three types of commercially important Mexican chili plants is also shown. |
