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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2022
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| Online Access: | http://journalarticle.ukm.my/20248/ http://journalarticle.ukm.my/20248/1/21.pdf |
| _version_ | 1848815053514473472 |
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| author | Yakubu, Aisha Aliyu Farah Aini Abdullah, Yazariah Mohd Yatim, |
| author_facet | Yakubu, Aisha Aliyu Farah Aini Abdullah, Yazariah Mohd Yatim, |
| author_sort | Yakubu, Aisha Aliyu |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T00:43:52Z |
| format | Article |
| id | oai:generic.eprints.org:20248 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:43:52Z |
| publishDate | 2022 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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 |
| spellingShingle | Yakubu, Aisha Aliyu Farah Aini Abdullah, Yazariah Mohd Yatim, Mathematical model of pertussis and pneumonia co-infection in infants with maternally derived immunity |
| title | 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_short | 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 |
| url | http://journalarticle.ukm.my/20248/ http://journalarticle.ukm.my/20248/ http://journalarticle.ukm.my/20248/1/21.pdf |