Global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales

In this paper, we investigate the existence of global attractors, extreme stability, periodicity and asymptotically periodicity of solutions of the delayed population model with survival rate on isolated time scales given by $ x^{\Delta} (t) = \gamma(t) x(t) + \dfrac{x(d(t))}{\mu(t)}e^{r(t)\mu(t...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Jaqueline G. Mesquita, Urszula Ostaszewska, Ewa Schmeidel, Małgorzata Zdanowicz
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	delayed population model time scales global attractors stability periodicity Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/06de57332b07429680ab4616bee9f283
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:06de57332b07429680ab4616bee9f283
record_format	dspace
spelling	oai:doaj.org-article:06de57332b07429680ab4616bee9f2832021-11-12T02:25:32ZGlobal attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales10.3934/mbe.20213391551-0018https://doaj.org/article/06de57332b07429680ab4616bee9f2832021-08-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021339?viewType=HTMLhttps://doaj.org/toc/1551-0018In this paper, we investigate the existence of global attractors, extreme stability, periodicity and asymptotically periodicity of solutions of the delayed population model with survival rate on isolated time scales given by $ x^{\Delta} (t) = \gamma(t) x(t) + \dfrac{x(d(t))}{\mu(t)}e^{r(t)\mu(t)\left(1 - \frac{x(d(t))}{\mu(t)}\right)}, \ \ t \in \mathbb T. $ We present many examples to illustrate our results, considering different time scales. Jaqueline G. MesquitaUrszula OstaszewskaEwa Schmeidel Małgorzata Zdanowicz AIMS Pressarticledelayed population modeltime scalesglobal attractorsstabilityperiodicityBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 6819-6840 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	delayed population model time scales global attractors stability periodicity Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	delayed population model time scales global attractors stability periodicity Biotechnology TP248.13-248.65 Mathematics QA1-939 Jaqueline G. Mesquita Urszula Ostaszewska Ewa Schmeidel Małgorzata Zdanowicz Global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales
description	In this paper, we investigate the existence of global attractors, extreme stability, periodicity and asymptotically periodicity of solutions of the delayed population model with survival rate on isolated time scales given by $ x^{\Delta} (t) = \gamma(t) x(t) + \dfrac{x(d(t))}{\mu(t)}e^{r(t)\mu(t)\left(1 - \frac{x(d(t))}{\mu(t)}\right)}, \ \ t \in \mathbb T. $ We present many examples to illustrate our results, considering different time scales.
format	article
author	Jaqueline G. Mesquita Urszula Ostaszewska Ewa Schmeidel Małgorzata Zdanowicz
author_facet	Jaqueline G. Mesquita Urszula Ostaszewska Ewa Schmeidel Małgorzata Zdanowicz
author_sort	Jaqueline G. Mesquita
title	Global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales
title_short	Global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales
title_full	Global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales
title_fullStr	Global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales
title_full_unstemmed	Global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales
title_sort	global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/06de57332b07429680ab4616bee9f283
work_keys_str_mv	AT jaquelinegmesquita globalattractorsextremalstabilityandperiodicityforadelayedpopulationmodelwithsurvivalrateontimescales AT urszulaostaszewska globalattractorsextremalstabilityandperiodicityforadelayedpopulationmodelwithsurvivalrateontimescales AT ewaschmeidel globalattractorsextremalstabilityandperiodicityforadelayedpopulationmodelwithsurvivalrateontimescales AT małgorzatazdanowicz globalattractorsextremalstabilityandperiodicityforadelayedpopulationmodelwithsurvivalrateontimescales
_version_	1718431269802475520

Global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales

Ejemplares similares