Existence of global attractor for the Trojan Y Chromosome model

Existence of global attractor for the Trojan Y Chromosome model

This paper is concerned with the long time behavior of solution for the equation derived by the Trojan Y Chromosome (TYC) model with spatial spread. Based on the regularity estimates for the semigroups and the classical existence theorem of global attractors, we prove that this equations possesses a...

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Main Authors: Xiaopeng Zhao, Bo Liu, Ning Duan
Format: Article
Language:English
Published: University of Szeged 2012-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
global attractor
trojan y chromosome model
regularity estimates
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1044
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spelling doaj-141a30ee8d6f45f4957e128956983a572021-07-14T07:21:24ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752012-04-0120123611610.14232/ejqtde.2012.1.361044Existence of global attractor for the Trojan Y Chromosome modelXiaopeng Zhao0Bo Liu1Ning Duan2School of Science, Jiangnan University, ChinaCollege of Mathematics, Jilin University, P. R. ChinaCollege of Mathematics, Jilin University, P. R. ChinaThis paper is concerned with the long time behavior of solution for the equation derived by the Trojan Y Chromosome (TYC) model with spatial spread. Based on the regularity estimates for the semigroups and the classical existence theorem of global attractors, we prove that this equations possesses a global attractor in $H^k(\Omega)^4$ $(k\geq 0)$ space.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1044global attractortrojan y chromosome modelregularity estimates
collection DOAJ
language English
format Article
sources DOAJ
author Xiaopeng Zhao
Bo Liu
Ning Duan
spellingShingle Xiaopeng Zhao
Bo Liu
Ning Duan
Existence of global attractor for the Trojan Y Chromosome model
Electronic Journal of Qualitative Theory of Differential Equations
global attractor
trojan y chromosome model
regularity estimates
author_facet Xiaopeng Zhao
Bo Liu
Ning Duan
author_sort Xiaopeng Zhao
title Existence of global attractor for the Trojan Y Chromosome model
title_short Existence of global attractor for the Trojan Y Chromosome model
title_full Existence of global attractor for the Trojan Y Chromosome model
title_fullStr Existence of global attractor for the Trojan Y Chromosome model
title_full_unstemmed Existence of global attractor for the Trojan Y Chromosome model
title_sort existence of global attractor for the trojan y chromosome model
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2012-04-01
description This paper is concerned with the long time behavior of solution for the equation derived by the Trojan Y Chromosome (TYC) model with spatial spread. Based on the regularity estimates for the semigroups and the classical existence theorem of global attractors, we prove that this equations possesses a global attractor in $H^k(\Omega)^4$ $(k\geq 0)$ space.
topic global attractor
trojan y chromosome model
regularity estimates
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1044
work_keys_str_mv AT xiaopengzhao existenceofglobalattractorforthetrojanychromosomemodel
AT boliu existenceofglobalattractorforthetrojanychromosomemodel
AT ningduan existenceofglobalattractorforthetrojanychromosomemodel
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