On Gompertz growth model and related difference equations

AG Nobile, LM Ricciardi, L Sacerdote - Biological Cybernetics, 1982 - Springer
Within the context of the dynamics of populations described by first order difference
equations a datailed study of the Gompertz growth model is performed. This is mainly …

[PDF][PDF] A predator-prey Gompertz model with time delay and impulsive perturbations on the prey

J Jia, C Li - Discrete Dynamics in Nature and Society, 2009 - emis.de
A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey
Page 1 Hindawi Publishing Corporation Discrete Dynamics in Nature and Society Volume …

[HTML][HTML] The use of Gompertz models in growth analyses, and new Gompertz-model approach: An addition to the Unified-Richards family

KMC Tjørve, E Tjørve - PloS one, 2017 - journals.plos.org
The Gompertz model is well known and widely used in many aspects of biology. It has been
frequently used to describe the growth of animals and plants, as well as the number or …

Analysis of a growth model inspired by Gompertz and Korf laws, and an analogous birth-death process

A Di Crescenzo, S Spina - Mathematical biosciences, 2016 - Elsevier
We propose a new deterministic growth model which captures certain features of both the
Gompertz and Korf laws. We investigate its main properties, with special attention to the …

The Gompertz model revisited and modified using reaction networks: Mathematical analysis

SM Markov - Biomath, 2021 - biomath.math.bas.bg
In the present work we discuss the usage of the framework of chemical reaction networks for
the construction of dynamical models and their mathematical analysis. To this end, the …

On the chemical meaning of some growth models possessing Gompertzian‐type property

R Anguelov, M Borisov, A Iliev… - … Methods in the …, 2018 - Wiley Online Library
Growth models are often used when modelling various processes in life sciences, ecology,
demography, social sciences, etc. Dynamical growth models are usually formulated in terms …

On the therapy effect for a stochastic growth Gompertz-type model

G Albano, V Giorno, P Román-Román… - Mathematical …, 2012 - Elsevier
We consider a diffusion model based on a generalized Gompertz deterministic growth in
which carrying capacity depends on the initial size of the population. The drift of the resulting …

Probabilistic Gompertz model of irreversible growth

DC Bardos - Bulletin of mathematical biology, 2005 - Springer
Characterizing organism growth within populations requires the application of well-studied
individual size-at-age models, such as the deterministic Gompertz model, to populations of …

Reaction networks reveal new links between Gompertz and Verhulst growth functions

SM Markov - Biomath, 2019 - biomath.math.bas.bg
New reaction network realizations of the Gompertz and logisticВ growth models are
proposed. The proposed reaction networks involve an additional species interpreted as …

Global stability of Gompertz model of three competing populations

Y Yu, W Wang, Z Lu - Journal of mathematical analysis and applications, 2007 - Elsevier
Global stability of Gompertz model of three competing populations Page 1 J. Math. Anal. Appl.
334 (2007) 333–348 www.elsevier.com/locate/jmaa Global stability of Gompertz model of three …