dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Colucci, Renato | es |
dc.creator | López de la Cruz, Javier | es |
dc.creator | Rapaport, Alain | es |
dc.date.accessioned | 2019-09-05T09:43:23Z | |
dc.date.available | 2019-09-05T09:43:23Z | |
dc.date.issued | 2019-10 | |
dc.identifier.citation | 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. | |
dc.identifier.issn | 1007-5704 | es |
dc.identifier.issn | 1878-7274 | es |
dc.identifier.uri | https://hdl.handle.net/11441/88955 | |
dc.description.abstract | 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. | es |
dc.description.sponsorship | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.description.sponsorship | Consejería de Innovación, Ciencia y Empresa (Junta de Andalucía) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation, 77, 239-257. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Random perturbation | es |
dc.subject | Population dynamics | es |
dc.subject | Logistic model | es |
dc.subject | Preypredator model | es |
dc.subject | Oobserver | es |
dc.title | A way to model stochastic perturbations in population dynamics models with bounded realizations | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | MTM2015-63723-P | es |
dc.relation.projectID | 2010/FQM314 | es |
dc.relation.projectID | P12-FQM-1492 | es |
dc.relation.publisherversion | https://reader.elsevier.com/reader/sd/pii/S1007570419301303?token=332DB6F50B7F7949761EA1A4B047A9E3153BCCB9CD6F3F86709AB31375841FFA7F68B0FCA94EAAE924D4FFF025E93950 | es |
dc.identifier.doi | 10.1016/j.cnsns.2019.04.019 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 25 p. | es |
dc.journaltitle | Communications in Nonlinear Science and Numerical Simulation | es |
dc.publication.volumen | 77 | es |
dc.publication.initialPage | 239 | es |
dc.publication.endPage | 257 | es |