Journal
APPLIED MATHEMATICS LETTERS
Volume 121, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107519
Keywords
Random differential equations; Probability density function; Stochastic periodic jumps; Probabilistic stability
Categories
Funding
- Spanish Agencia Estatal de Investigacion [PID2020-115270GB-I00]
- Mexican Council of Science and Technology (CONACYT) program Apoyos complementarios para estancias sabaticas vinculadas a la consolidacion de grupo de investigacion
- Universidad Autonoma de Aguascalientes, Spain [PIM21-5, PIM21-7]
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This study examines a class of non-homogeneous first-order linear random differential equations subject to an infinite sequence of random intensity square impulses. These equations are useful in modeling the dynamics of a population with periodic harvesting and migration under uncertainties. The solution is explicitly obtained via the first probability density function, and probabilistic stability analysis is conducted through the densities of random sequences of minima and maxima.
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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