Related Experiment Video
Updated: May 26, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
On the therapy effect for a stochastic growth Gompertz-type model
Giuseppina Albano1, Virginia Giorno, Patricia Román-Román
1Dipartimento di Scienze Economiche e Statistiche, Università di Salerno, Italy.
Abstract:
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 process is then modified by introducing a time-dependent function, called "therapy", in order to model the effect of an exogenous factor. The transition probability density function and the related moments for the proposed process are obtained. A study of the influence of the therapy on several characteristics of the model is performed. The first-passage-time problem through time-dependent boundaries is also analyzed. Finally, an application to real data concerning a rabbit population subject to particular therapies is presented.
Related Concept Videos
Exponential Equations for Modeling Growth
Modeling with Differential Equations
Growth Models with Integration: Problem Solving
Population Growth
Parametric Survival Analysis: Weibull and Exponential Methods
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
Pharmacodynamic Models: Additive and Proportional Drug Effect Model

