Publicación: Continuous and discrete periodic asymptotic behavior of solutions to a competitive chemotaxis PDEs system
Fecha
2021-04
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Prologuista
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Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
ISSN de la revista
Título del volumen
Editor
Elsevier
Resumen
In this paper we study the continuous and full discrete versions of a parabolic-parabolic-elliptic system with periodic terms that serves as a model for some chemotaxis phenomena. This model appears naturally in the interaction of two biological species and a chemical. The presence of the periodic terms has a strong impact on the behavior of the solutions. Some conditions on the system’s data are given that guarantee the global existence of solutions that converge to periodical solutions of an associated ODE’s system. Further, we analyze the discretized version of the model using a Generalized Finite Difference Method (GFDM) and we confirm that the properties of the continuous model are also preserved for the resulting discrete model. To this end, we prove the conditional convergence of the numerical model and study some practical examples.
Descripción
This is a Submitted Manuscript of an article published by Elsevier in "Communications in Nonlinear Science and Numerical Simulation, 95, 105592", available at: https://doi.org/10.1016/j.cnsns.2020.105592
Este es el manuscrito enviado del artículo publicado por Elsevier en "Communications in Nonlinear Science and Numerical Simulation, 95, 105592", disponible en línea: https://doi.org/10.1016/j.cnsns.2020.105592
Este es el manuscrito enviado del artículo publicado por Elsevier en "Communications in Nonlinear Science and Numerical Simulation, 95, 105592", disponible en línea: https://doi.org/10.1016/j.cnsns.2020.105592
Categorías UNESCO
Palabras clave
Chemotaxis, Asymptotic stability of solutions, Lotka Volterra system, Periodic solutions, Generalized Finite Di erence, Method, Conditional Convergence
Citación
Negreanu, M. & Vargas A.M. (2021). Continuous and discrete periodic asymptotic behavior of solutions to a competitive chemotaxis PDEs system. Communications in Nonlinear Science and Numerical Simulation, 95. https://doi.org/10.1016/J.CNSNS.2020.105592
Centro
Facultades y escuelas::E.T.S. de Ingenieros Industriales
Departamento
Matemática Aplicada I