A way to model stochastic perturbations in population dynamics models with bounded realizations - Agropolis Accéder directement au contenu
Article Dans Une Revue Communications in Nonlinear Science and Numerical Simulation Année : 2019

A way to model stochastic perturbations in population dynamics models with bounded realizations

Résumé

In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy perturbations. In order to discuss the main characteristics of this new approach we consider some basic models in population dynamics such as the logistic equations and competitive Lotka-Volterra systems. The key is the fact that these perturbations can be ensured to keep inside some interval that can be previously fixed, for instance, by practitioners, even though the resulting model does not generate a random dynamical system. However, one can still analyze the forwards asymptotic behavior of these random differential systems. Moreover, to illustrate the advantages of this type of modeling, we exhibit an example testing the theoretical results with real data, and consequently one can see this method as a realistic one, which can be very useful and helpful for scientists.
Fichier principal
Vignette du fichier
CCLR_250219.pdf (3.76 Mo) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-02105829 , version 1 (21-04-2019)
hal-02105829 , version 2 (02-11-2021)

Identifiants

Citer

Tomas Caraballo, Renato Colucci, Javier López-De-La-Cruz, Alain Rapaport. A way to model stochastic perturbations in population dynamics models with bounded realizations. Communications in Nonlinear Science and Numerical Simulation, 2019, 77, pp.239-257. ⟨10.1016/j.cnsns.2019.04.019⟩. ⟨hal-02105829v1⟩
166 Consultations
162 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More