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Mathematical model of pertussis and pneumonia co-infection in infants with maternally derived immunity

The transmission dynamics of a pertussis-pneumonia co-infection model is analyzed. The model takes into account temporary immunity of infected infants and includes a maternally derived immunity compartment. The basic reproduction number of the co-infected model is obtained using the next generation...

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Main Authors: Yakubu, Aisha Aliyu, Farah Aini Abdullah,, Yazariah Mohd Yatim,
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2022
Online Access:http://journalarticle.ukm.my/20248/1/21.pdf
http://journalarticle.ukm.my/20248/
https://www.ukm.my/jsm/malay_journals/jilid51bil7_2022/KandunganJilid51Bil7_2022.html
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spelling my-ukm.journal.202482022-10-25T07:50:59Z http://journalarticle.ukm.my/20248/ Mathematical model of pertussis and pneumonia co-infection in infants with maternally derived immunity Yakubu, Aisha Aliyu Farah Aini Abdullah, Yazariah Mohd Yatim, The transmission dynamics of a pertussis-pneumonia co-infection model is analyzed. The model takes into account temporary immunity of infected infants and includes a maternally derived immunity compartment. The basic reproduction number of the co-infected model is obtained using the next generation matrix, and stability analysis is carried out. The model exhibits four equilibria, namely, the pertussis-free equilibrium, the pneumonia-free equilibrium, the co-infection-free equilibrium and co-infection endemic equilibrium. Subsequently, the local stability of the co-infection-free equilibrium is analyzed and is shown to be locally asymptotically stable. Similarly, by constructing a suitable Lyapunov function, the co-infection endemic equilibrium is shown to be globally asymptotically stable. Numerical simulations are carried out to illustrate the validity of these results. Penerbit Universiti Kebangsaan Malaysia 2022-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/20248/1/21.pdf Yakubu, Aisha Aliyu and Farah Aini Abdullah, and Yazariah Mohd Yatim, (2022) Mathematical model of pertussis and pneumonia co-infection in infants with maternally derived immunity. Sains Malaysiana, 51 (7). pp. 2197-2209. ISSN 0126-6039 https://www.ukm.my/jsm/malay_journals/jilid51bil7_2022/KandunganJilid51Bil7_2022.html
institution Universiti Kebangsaan Malaysia
building Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description The transmission dynamics of a pertussis-pneumonia co-infection model is analyzed. The model takes into account temporary immunity of infected infants and includes a maternally derived immunity compartment. The basic reproduction number of the co-infected model is obtained using the next generation matrix, and stability analysis is carried out. The model exhibits four equilibria, namely, the pertussis-free equilibrium, the pneumonia-free equilibrium, the co-infection-free equilibrium and co-infection endemic equilibrium. Subsequently, the local stability of the co-infection-free equilibrium is analyzed and is shown to be locally asymptotically stable. Similarly, by constructing a suitable Lyapunov function, the co-infection endemic equilibrium is shown to be globally asymptotically stable. Numerical simulations are carried out to illustrate the validity of these results.
format Article
author Yakubu, Aisha Aliyu
Farah Aini Abdullah,
Yazariah Mohd Yatim,
spellingShingle Yakubu, Aisha Aliyu
Farah Aini Abdullah,
Yazariah Mohd Yatim,
Mathematical model of pertussis and pneumonia co-infection in infants with maternally derived immunity
author_facet Yakubu, Aisha Aliyu
Farah Aini Abdullah,
Yazariah Mohd Yatim,
author_sort Yakubu, Aisha Aliyu
title Mathematical model of pertussis and pneumonia co-infection in infants with maternally derived immunity
title_short Mathematical model of pertussis and pneumonia co-infection in infants with maternally derived immunity
title_full Mathematical model of pertussis and pneumonia co-infection in infants with maternally derived immunity
title_fullStr Mathematical model of pertussis and pneumonia co-infection in infants with maternally derived immunity
title_full_unstemmed Mathematical model of pertussis and pneumonia co-infection in infants with maternally derived immunity
title_sort mathematical model of pertussis and pneumonia co-infection in infants with maternally derived immunity
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2022
url http://journalarticle.ukm.my/20248/1/21.pdf
http://journalarticle.ukm.my/20248/
https://www.ukm.my/jsm/malay_journals/jilid51bil7_2022/KandunganJilid51Bil7_2022.html
_version_ 1748181787316584448
score 13.211869

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