Probabilistic analysis of a class of impulsive linear random differential equations via density functions
[EN] An important class of non-homogeneous first-order linear random differential equations subject to an infinite sequence of square impulses with random intensity is studied. In applications, these equations are useful to model the dynamics of a population with periodic harvesting and migration un...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/181027 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/181027 |
| Access Level: | acceso abierto |
| Palabra clave: | Random differential equations Probability density function Stochastic periodic jumps Probabilistic stability MATEMATICA APLICADA |
| Sumario: | [EN] An important class of non-homogeneous first-order linear random differential equations subject to an infinite sequence of square impulses with random intensity is studied. In applications, these equations are useful to model the dynamics of a population with periodic harvesting and migration under uncertainties. The solution is explicitly obtained via the first probability density function assuming an arbitrary joint density for all model parameters. Probabilistic stability analysis is carried out through the densities of the random sequences of minima and maxima. All the theoretical results are fully illustrated through two numerical examples. (C) 2021 Elsevier Ltd. All rights reserved. |
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