Discrete Logistic Growth Model with Capability to Go Backward in Time, Based on Successive Operations
This is a paper, presented at the XLI CNMAC Congress at Federal University of Campinas-Unicamp (Campinas, São Paulo).
A poster was also presented in conjunction with it, which is reproduced below.
ABSTRACT:
This paper aims to tackle the classic discrete logistic model for population growth using the formalism of successive mathematical operations. This approach allows obtaining a closed-form expression with the capability of retro-action for generations before the first observed generation. Finally, to exemplify the advantages of this representation, it is used to compute the population size after and, outstandingly, before the reference, extending easily the usual discrete logistic growth model for all integer arguments.
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