This paper focuses on the construction of deterministic and stochastic extensions Gompertz curve by means generalized fractional derivatives induced complete Bernstein functions. Precisely, we first introduce a class linear equations involving integral study properties its solutions. is done proving existence uniqueness Gaussian solutions such via fixed point argument then showing that, under s...

Abstract A work on the analysis of five kinetic models for predicting methane yield is presented. The selected common include Gompertz, logistic, first-order, Richards and transfert models. Anaerobic digestion orange banana peels was simulated using comparative carried out to determine best-fit model. When peels, all reached a maximum 99.23% model which most accurate Gompertz with 76% cumulativ...

This study provided the basic needs of parameters estimation for nonlinear growth model such as partial derivatives of each model, determination of initial values for each parameter and statistical tests of industrial usage. Twelve nonlinear growth models and its partial derivatives for oil palm yield growth are presented in this study. The parameters are estimated using the Marquardt iterative...

We have simulated the effect of the diversity of the late expressed genes in the genetic pool of population on the phenotypes of individuals in the late ages. Using Penna model based on the Monte Carlo method we have obtained for the oldest fractions of populations lower mortality rates than predicted by the exponential Gompertz function. Such deviations from the expected exponential increase o...

The survival patterns of many animals can be classified into one of two asymmetric sigmoid forms: One group can be predicted from the standard, classical Gompertz assumption that, with age, the number of individuals alive in the population decreases exponentially at an exponentially increasing rate. The other can be predicted from the alternative Gompertz assumption that, with age, the number o...

A fractional factorial design was used to measure the effects and interactions of temperature (12-37 degrees C), initial pH (5.5-7.5), NaCl (0.5-4.0%) and NaNO2 (0-1000 ppm) on the anaerobic growth kinetics of Shigella flexneri in Brain-Heart Infusion broth. Anaerobic conditions were established by flushing the culture flasks with N2. A total of 375 cultures representing 124 variable combinatio...

Trimmed samples are widely utilized in several areas of statistical practice, especially when some sample values at either or both extremes might have been adulterated. In this article, the problem of estimating the parameter of Gompertz distribution based on trimmed samples under informative and non-informative priors has been addressed. The problem discussed using Bayesian approach to estimat...