We consider a generalized two-species population dynamic model and analytically solve it for the amensalism and commensalism ecological interactions. These two-species models can be simplified to a one-species model with a time dependent extrinsic growth factor. With a one-species model with an effective carrying capacity one is able to retrieve the steady state solutions of the previous one-sp...

Gompertz growth functions were fitted to longitudinal measurements of daily feed intake (DFI) and BW of 586 boars and 495 gilts from a selection experiment in Yorkshire pigs for residual feed intake (RFI). The selection experiment consists of a line selected for low residual feed intake (LRFI) for 5 generations and a randomly selected control line (CTRL). The objectives of this study were to us...

This study compared the use of five different models to describe the growth from birth to 20 weeks of age of kids from both genders of nondescript goats. Fifty nine (59) nondescript kids were weighed weekly at the university of Maiduguri livestock teaching and research farm, Nigeria and the live weights were modeled. Biologically relevant variables were estimated for each kid from the Logistic,...

Shelf life of minimally processed vegetables is often calculated by using the kinetic parameters of Gompertz equation as modified by Zwietering et al. [Zwietering, M.H., Jongenburger, F.M., Roumbouts, M., van't Riet, K., 1990. Modelling of the bacterial growth curve. Applied and Environmental Microbiology 56, 1875-1881.] taking 5x10(7) CFU/g as the maximum acceptable contamination value consist...

In this note, we characterize the Gompertz distribution in terms of extreme value distributions and point out that it implicitly models the interplay of two antagonistic growth processes. In addition, we derive a closed form expressions for the Kullback-Leibler divergence between two Gompertz Distributions. Although the latter is rather easy to obtain, it seems not to have been widely reported ...

The aim of this study was to model the growth, in a model system, of toxigenic strains of Bacillus cereus as a function of temperature, pH and water activity. Optical density (OD) values were transformed into numbers of colony-forming units (CFU) by the use of a 'calibrating' relation. The growth curves were then fitted to the Gompertz function which allowed the estimation of the lag-time (lamb...

A genetic algorithm (GA), an optimization procedure based on the theory of evolution, was compared with nonlinear regression for the ability of the 2 algorithms to fit the coefficients of poultry growth models. It was hypothesized that the nonlinear approach of using GA to define the parameters of growth equations would better fit the growth equations than the use of nonlinear regression. Two s...

This study investigated, for the first time, age and growth of spotted lanternfish Myctophum punctatum through an analysis otolith microstructure. A total 377 individuals were collected from Strait Messina (central Mediterranean Sea), ranging between 20.3 73.7 mm standard length. Their length–weight relationship was estimated, these outputs indicated isometric growth, all specimens when males f...