Stability analysis of fractional order SEIR model for malaria disease in Khyber Pakhtunkhwa

Stability analysis of fractional order SEIR model for malaria disease in Khyber Pakhtunkhwa

We discussed stability analysis of susceptible-exposed-infectious-removed (SEIR) model for malaria disease through fractional order and check that malaria is epidemic or endemic in Khyber Pakhtunkhwa (Pakistan). We show that the model has two types of equilibrium points and check their stability thr...

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Main Authors: Badshah Noor, Akbar Haji
Format: article
Language:EN
Published: De Gruyter 2021
Subjects:
seir model
fractional order
routh-hurwitz criterion
next-generation method
92b15
92b05
Mathematics
QA1-939
Online Access:https://doaj.org/article/f035e3f9dcfe403a937e737cbc4a3459
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spelling oai:doaj.org-article:f035e3f9dcfe403a937e737cbc4a34592021-12-05T14:10:45ZStability analysis of fractional order SEIR model for malaria disease in Khyber Pakhtunkhwa2391-466110.1515/dema-2021-0029https://doaj.org/article/f035e3f9dcfe403a937e737cbc4a34592021-11-01T00:00:00Zhttps://doi.org/10.1515/dema-2021-0029https://doaj.org/toc/2391-4661We discussed stability analysis of susceptible-exposed-infectious-removed (SEIR) model for malaria disease through fractional order and check that malaria is epidemic or endemic in Khyber Pakhtunkhwa (Pakistan). We show that the model has two types of equilibrium points and check their stability through Routh-Hurwitz criterion. We find basic reproductive number using next-generation method. Finally, numerical simulations are also presented.Badshah NoorAkbar HajiDe Gruyterarticleseir modelfractional orderrouth-hurwitz criterionnext-generation method92b1592b05MathematicsQA1-939ENDemonstratio Mathematica, Vol 54, Iss 1, Pp 326-334 (2021)
institution DOAJ
collection DOAJ
language EN
topic seir model
fractional order
routh-hurwitz criterion
next-generation method
92b15
92b05
Mathematics
QA1-939
spellingShingle seir model
fractional order
routh-hurwitz criterion
next-generation method
92b15
92b05
Mathematics
QA1-939
Badshah Noor
Akbar Haji
Stability analysis of fractional order SEIR model for malaria disease in Khyber Pakhtunkhwa
description We discussed stability analysis of susceptible-exposed-infectious-removed (SEIR) model for malaria disease through fractional order and check that malaria is epidemic or endemic in Khyber Pakhtunkhwa (Pakistan). We show that the model has two types of equilibrium points and check their stability through Routh-Hurwitz criterion. We find basic reproductive number using next-generation method. Finally, numerical simulations are also presented.
format article
author Badshah Noor
Akbar Haji
author_facet Badshah Noor
Akbar Haji
author_sort Badshah Noor
title Stability analysis of fractional order SEIR model for malaria disease in Khyber Pakhtunkhwa
title_short Stability analysis of fractional order SEIR model for malaria disease in Khyber Pakhtunkhwa
title_full Stability analysis of fractional order SEIR model for malaria disease in Khyber Pakhtunkhwa
title_fullStr Stability analysis of fractional order SEIR model for malaria disease in Khyber Pakhtunkhwa
title_full_unstemmed Stability analysis of fractional order SEIR model for malaria disease in Khyber Pakhtunkhwa
title_sort stability analysis of fractional order seir model for malaria disease in khyber pakhtunkhwa
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/f035e3f9dcfe403a937e737cbc4a3459
work_keys_str_mv AT badshahnoor stabilityanalysisoffractionalorderseirmodelformalariadiseaseinkhyberpakhtunkhwa
AT akbarhaji stabilityanalysisoffractionalorderseirmodelformalariadiseaseinkhyberpakhtunkhwa
_version_ 1718371772787589120

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