Artículo
A way to model stochastic perturbations in population dynamics models with bounded realizations
Autor/es | Caraballo Garrido, Tomás
Colucci, Renato López de la Cruz, Javier Rapaport, Alain |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2019-10 |
Fecha de depósito | 2019-09-05 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | MTM2015-63723-P
2010/FQM314 P12-FQM-1492 |
Cita | Caraballo Garrido, T., Colucci, R., López de la Cruz, J. y Rapaport, A. (2019). A way to model stochastic perturbations in population dynamics models with bounded realizations. Communications in Nonlinear Science and Numerical Simulation, 77, 239-257. |
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