Describe the COVID-19 pandemic in Peru, carry out mathematical statistical modeling, determine the critical time, the speed with which the pandemic developed and validate the estimated data; have characterized this research; whose objective has been to model and analyze COVID-19 infections in Peru, and compare infected people and estimated infected people; assess the critical time in which the maximum speed of estimated infected people occurs and statistically validate the model. The data on COVID-19 infections until February 24, 2023 has been taken into account; determining that they describe a sigmoidal logistic dispersion; event that was mathematically modeled using the expression , which is a predictive logistic equation. With the predictive mathematical model, the number of people infected and their behavior of COVID-19 in Peru was estimated. Likewise, the speed of people infected w...

The calculation of Bernoulli numbers is because there are numerous mathematical expressions and environmental engineering phenomena in which they can be applied. Although it is true that, with the aid of the computer and the use of programs, there are a great number of them; in the current references they are published in a reduced number and, therefore, when using them, unsatisfactory approximations are made. The purpose was to calculate the first 20 Bernoulli numbers, apply them to mathematics (∫ ln(cosx)dx) and environmental engineering, quantifying the alkalinity of natural water in the form of calcium carbonate (CaCO3)(mg/l ), measuring carbon dioxide (CO2). There is a great variety of relations containing Bernoulli numbers presented in several practical applications of mathematics. The best relationships used here are binomial developments. Employing the appropriate equations, th...