ABSTRACT A new coronavirus denominated first 2019-nCoV and later SARS-CoV-2 was found in Wuhan, China in December of 2019. This paper compares three mathematical methods: nonlinear regression, SIR, and SEIR epidemic models, to track the covid-19 disease in nine countries affected by the SARS-CoV-2 virus, to help epidemiologists to know the disease trajectory, considering initial data in the pandemic, mainly 100 days from the beginning. To evaluate the results obtained with the three methods one-way ANOVA is applied. The average of predicted infected cases with SARS-CoV-2, obtained with the mentioned methods was: for United States of America 1,098,508, followed by Spain with 226,721, Italy with 202,953, France with 183,897 United Kingdom with 182,190, Germany with 159,407, Canada with 58,696, Mexico with 50,366 and Argentina with 4,860 in average. The one-way ANOVA does not show a significant difference among the results of the projected infected cases by SARS-CoV-2, using nonlinear regression, SIR, and SEIR epidemic methods. The above could mean that initially any method can be used to model the pandemic course.

RESUMEN Un nuevo coronavirus denominado primero 2019-nCoV y más tarde SARS-CoV-2 fue encontrado en Wuhan, China en diciembre de 2019. El objetivo de este trabajo es comparar tres métodos matemáticos: regresión no lineal, modelos epidemiológicos SIR y SEIR, para rastrear la enfermedad del COVID-19 en nueve países infectados por el virus SARS-CoV-2, con el propósito de ayudar al epidemiólogo a conocer el curso de la pandemia, considerando principalmente sus primeros 100 días. Para evaluar los resultados obtenidos de la aplicación de los tres métodos, se aplicó ANOVA de una vía. El número promedio de casos infectados con SARS-CoV-2, obtenidos con los tres métodos descritos son: para Estados Unidos 1,098,508, seguido de España con 226,721, Italia con 202,953, Francia con 183,897 Reino Unido con 182,190, Alemania con 159,407, Canadá con 58,696, México con 50,366 y Argentina con 4,860 en promedio. El ANOVA de una vía no muestra diferencias significativas entre los resultados de los casos infectados proyectados por SARS-CoV-2, utilizando la regresión no lineal y los métodos SIR and SEIR. Lo anterior podría señalar que cualquiera de los tres métodos estudiados puede modelar el curso de la pandemia en las condiciones descritas para cada uno.

O presente estudo teve como objetivos caracterizar as formas de K em solos de várzea e o aproveitamento dessas formas pela planta, avaliar a resposta do feijoeiro à aplicação desse nutriente nesses solos e determinar os seus níveis críticos nos solos e nas plantas. O delineamento experimental utilizado foi o inteiramente casualizado, em esquema fatorial 4 x 5, com quatro repetições, sendo quatro solos de várzea [Gleissolo Melânico (GM), Gleissolo Háplico (GX), Neossolo Flúvico (RU) e Organossolo Méssico (OY)] e cinco níveis de saturação por K da CTC potencial (natural, 4, 6, 8 e 10 %). Foram cultivadas quatro plantas de feijoeiro (Phaseolus vulgaris L.) por vaso até a produção de grãos. Amostras dos solos foram coletadas para a determinação do K total, não-trocável, trocável, em solução, disponível pelos extratores Mehlich-1 e Resina e medidas da relação Quantidade/Intensidade de K. Os teores de K total e K não-trocável foram maiores nos solos OY e RU, enquanto os teores de K trocável e K em solução foram maiores nos solos OY e GM. As saturações críticas por K da CTC potencial foram de 5,0, 4,1, 8,7 e 5,3 %, enquanto os níveis críticos de K foliar foram de 17,9, 30,5, 16,8 e 14,6 mg kg-1, para os solos OY, GM, GX e RU, respectivamente.

The present study had as objectives to characterize K forms, plant use of these forms and to evaluate the common bean (Phaseolus vulgaris L.) response to K application in four lowland soils. It was also sought to determine the critical levels for K in soils and plant. The experimental design was completely randomized in a 4 x 5 factorial scheme with four replications. The treatments were a combination of four lowland soils [Mesic Organosoil (OY), Melanic Gleysoil (GM), Haplic Gleysoil (GX), and Fluvic Neosoil (RU)] and five K CEC saturation levels (native, 4, 6, 8, and 10 %). Four bean plants per pot were cultivated until grain production. Soil samples were analyzed for total K, non-exchangeable K, exchangeable K, soil solution K, available K by Mehlich-1 and K extractable by a cation exchange resin. The K quantity/intensity ratio was also determined. The concentration of total and non-exchangeable K were higher in OY and RU soils, while exchangeable K and soil solution K were higher in O and GH soils. The critical K saturation of CEC were 5.0, 4.1, 8.7, and 5.3 % and the critical foliar K levels were 17.9, 30.5, 16.8, and 14.6 mg kg-1 for OY, GM, GX, and RU soils, respectively.