Cooperative system analysis of the Ebola virus epidemic model

Cooperative system analysis of the Ebola virus epidemic model

This paper aims to study the global stability of an Ebola virus epidemic model. Although this epidemic ended in September 2015, it devastated several West African countries and mobilized the international community. With the recent cases of Ebola in the Democratic Republic of the Congo (DRC), the th...

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Main Authors: Karima Kabli, Soumia El Moujaddid, Khadija Niri, Abdessamad Tridane
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2018-01-01
Series:Infectious Disease Modelling
Online Access:http://www.sciencedirect.com/science/article/pii/S2468042718300265
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spelling doaj-dcc29644e8594a908ecb97febbd53e9d2021-03-02T10:41:42ZengKeAi Communications Co., Ltd.Infectious Disease Modelling2468-04272018-01-013145159Cooperative system analysis of the Ebola virus epidemic modelKarima Kabli0Soumia El Moujaddid1Khadija Niri2Abdessamad Tridane3Department of Mathematics and Computing, Ain Chock Science Faculty, Hassan II University, Casablanca, MoroccoDepartment of Mathematics and Computing, Ain Chock Science Faculty, Hassan II University, Casablanca, MoroccoDepartment of Mathematics and Computing, Ain Chock Science Faculty, Hassan II University, Casablanca, MoroccoDepartment of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, United Arab Emirates; Corresponding author.This paper aims to study the global stability of an Ebola virus epidemic model. Although this epidemic ended in September 2015, it devastated several West African countries and mobilized the international community. With the recent cases of Ebola in the Democratic Republic of the Congo (DRC), the threat of the reappearance of this fatal disease remains. Therefore, we are obligated to be prepared for a possible re-emerging of the disease. In this work, we investigate the global stability analysis via the theory of cooperative systems, and we determine the conditions that lead to global stability diseases free and endemic equilibrium. Keywords: Ebola virus, Basic reproduction number, Cooperative systems, Global stability, Varying population sizehttp://www.sciencedirect.com/science/article/pii/S2468042718300265
collection DOAJ
language English
format Article
sources DOAJ
author Karima Kabli
Soumia El Moujaddid
Khadija Niri
Abdessamad Tridane
spellingShingle Karima Kabli
Soumia El Moujaddid
Khadija Niri
Abdessamad Tridane
Cooperative system analysis of the Ebola virus epidemic model
Infectious Disease Modelling
author_facet Karima Kabli
Soumia El Moujaddid
Khadija Niri
Abdessamad Tridane
author_sort Karima Kabli
title Cooperative system analysis of the Ebola virus epidemic model
title_short Cooperative system analysis of the Ebola virus epidemic model
title_full Cooperative system analysis of the Ebola virus epidemic model
title_fullStr Cooperative system analysis of the Ebola virus epidemic model
title_full_unstemmed Cooperative system analysis of the Ebola virus epidemic model
title_sort cooperative system analysis of the ebola virus epidemic model
publisher KeAi Communications Co., Ltd.
series Infectious Disease Modelling
issn 2468-0427
publishDate 2018-01-01
description This paper aims to study the global stability of an Ebola virus epidemic model. Although this epidemic ended in September 2015, it devastated several West African countries and mobilized the international community. With the recent cases of Ebola in the Democratic Republic of the Congo (DRC), the threat of the reappearance of this fatal disease remains. Therefore, we are obligated to be prepared for a possible re-emerging of the disease. In this work, we investigate the global stability analysis via the theory of cooperative systems, and we determine the conditions that lead to global stability diseases free and endemic equilibrium. Keywords: Ebola virus, Basic reproduction number, Cooperative systems, Global stability, Varying population size
url http://www.sciencedirect.com/science/article/pii/S2468042718300265
work_keys_str_mv AT karimakabli cooperativesystemanalysisoftheebolavirusepidemicmodel
AT soumiaelmoujaddid cooperativesystemanalysisoftheebolavirusepidemicmodel
AT khadijaniri cooperativesystemanalysisoftheebolavirusepidemicmodel
AT abdessamadtridane cooperativesystemanalysisoftheebolavirusepidemicmodel
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