Presentation
Random dynamical systems to analyze different ways of modeling stochastic chemostats
Author/s | López de la Cruz, Javier
Caraballo Garrido, Tomás Garrido Atienza, María José Rapaport, Alain |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2017 |
Deposit Date | 2020-07-08 |
Published in |
|
Abstract | In this talk, some different ways of modeling stochastic chemostats will be presented in order to obtain much more realistic mathematical models which reflect a better approximation to the real ones. To this end, the main ... In this talk, some different ways of modeling stochastic chemostats will be presented in order to obtain much more realistic mathematical models which reflect a better approximation to the real ones. To this end, the main interests of biologists will be taken into account and some well-known stochastic processes will be used. After that, these stochastic chemostat models will be analyzed by using the modern techniques concerning the theory of random dynamical systems (RDSs): interesting results related to existence and uniqueness of global solution just like that existence of absorbing sets and existence and uniqueness of random pullback attractor will be stated and several numerical simulations that support this work will be also shown. |
Citation | López de la Cruz, J., Caraballo Garrido, T., Garrido Atienza, M.J. y Rapaport, A. (2017). Random dynamical systems to analyze different ways of modeling stochastic chemostats. En XVI Conferencia Española de Biometría 2017, Sevilla, Spain. |
This item appears in the following collection(s)
This document is protected by intellectual and industrial property rights. Without prejudice to existing legal exemptions, its reproduction, distribution, public communication or transformation is prohibited without the authorization of the rights holder, unless otherwise indicated.