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ANALYSIS OF POPULATION GROWTH THROUGH DELAY DIFFERENTIAL EQUATIONS

Abstract:

In this work, an analysis of the birth rate and mortality in Venezuela was carried out taking this data, to more than the number of inhabitants, of the year 2019, which is a period that was considered by alterations that were presented in recent months by the presence of COVID-19. This analysis was carried out through the differential equations with delay, applying for resolution the non-standard numerical methods. The proposed model allows to obtain the projection for the following periods, in this case it was applied to obtain the number of inhabitants of the year 2020; MATLAB software was used to run the proposed model and result in the population of Venezuela for later years from 2019. The result obtained by developing the model proposed on the basis of differential equations with delay, allows to analyze the situation of a country or geographical area, in this case Venezuela, according to various factors such as the age of maturity of the population, which was one of the variables that had a considerable impact to obtain the projection of inhabitants.