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The Gompertz Function And Its Applications In Management [PDF]
Foundations of Management, 2015 In the present paper, we investigate the Gompertz function, which is commonly used, mostly as diffusion model, in economics and management. Our approach is based on indicating in a given time series, presumably with a Gompertz trend, some characteristic ...
Rządkowski Grzegorz +2 more
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The Beta-Gompertz Distribution
Revista Colombiana de Estadística, 2014 In this paper, we introduce a new four-parameter generalized version of the Gompertz model which is called Beta-Gompertz (BG) distribution. It includes some well-known lifetime distributions such as Beta-exponential and generalized Gompertz distributions
ALI AKBAR JAFARI +2 more
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A unifying theory of aging and mortality [PDF]
Scientific ReportsIn this paper, we advance the network theory of aging and mortality by developing a causal mathematical model for the mortality rate. First, we show that in large networks, where health deficits accumulate at nodes representing health indicators, the ...
Valentin Flietner +5 more
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New Modified Gompertz Probability Distribution With Flexible Hazard Functions
Journal of Probability and StatisticsThis paper introduces a new probability model called the modified Gompertz distribution from the base Gompertz distribution by combining its hazard function with first and second degree polynomial (linear and quadratic) functions.
Endalkachew Abebe Debelu +1 more
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PLoS Computational Biology, 2020 Tumor growth curves are classically modeled by means of ordinary differential equations. In analyzing the Gompertz model several studies have reported a striking correlation between the two parameters of the model, which could be used to reduce the ...
Cristina Vaghi +2 more
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Fuzzy rank-based fusion of CNN models using Gompertz function for screening COVID-19 CT-scans [PDF]
Scientific Reports, 2021 Rohit Kundu +2 more
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From networked SIS model to the Gompertz function [PDF]
Applied Mathematics and Computation, 2022 The Gompertz function is one of the most widely used models in the description of growth processes in many different fields. We obtain a networked version of the Gompertz function as a worst-case scenario for the exact solution to the SIS model on networks. This function is shown to be asymptotically equivalent to the classical scalar Gompertz function
Estrada, Ernesto, Bartesaghi, Paolo
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Stability conditions of limit cycle for Gompertz Autoregressive model
Tikrit Journal of Pure Science, 2023 In this paper, we suggest Gompertz Autoregressive model by using the cumulative distribution function of Gompertz distribution and, the aim of this paper is studying and finding the stability conditions of a limit cycle for the Gompertz Autoregressive ...
Nezar E. Ali, Azher A. Mohammad
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The Gompertz model revisited and modified using reaction networks: Mathematical analysis
Biomath, 2021 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.
Svetoslav Marinov Markov
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Periodic functions related to the Gompertz difference equation
Mathematical Biosciences and Engineering, 2022 <abstract><p>We investigate periodicity of functions related to the Gompertz difference equation. In particular, we derive difference equations that must be satisfied to guarantee periodicity of the solution.</p></abstract>
Tom Cuchta, Nick Wintz
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