Analysis of meningitis model: A case study of northern Nigeria

Isa Abdullahi Baba; Lawal Ibrahim Olamilekan; Abdullahi Yusuf; Dumitru Baleanu; Isa Abdullahi Baba; Lawal Ibrahim Olamilekan; Abdullahi Yusuf; Dumitru Baleanu

doi:10.3934/bioeng.2020016

AIMS Bioengineering

2020, Volume 7, Issue 4: 179-193. doi: 10.3934/bioeng.2020016

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Research Article

Analysis of meningitis model: A case study of northern Nigeria

1.
Department of Mathematical Sciences, Bayero University, Kano, Nigeria
2.
Department of Computer Engineering, Biruni University, Istanbul Turkey
3.
Department of Mathematical Sciences, Federal University Dutse, Nigeria
4.
Department of Mathematics, Cankaya University, Ankara, 06530, Turkey
5.
Institute of Space Sciences, Bucharest, Romania
6.
Department of Medical Research, China Medical University Hospital, Taichung, Taiwan

Received: 09 May 2020 Accepted: 04 June 2020 Published: 24 June 2020

Abstract
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A new strain of meningitis emerges in northern Nigeria, which brought a lot of confusion. This is because vaccine and treatment for the old strain was adopted but to no avail. It was later discovered that it was a new strain that emerged. In this paper we consider the two strains of meningitis (I 1 and I 2). Our aim is to analyse the effect of one strain on the dynamics of the other strain mathematically. Equilibrium solutions were obtained and their global stability was analysed using Lyaponuv function. It was shown that the stability depends on magnitude of the basic reproduction ratio. The coexistence of the two strains was numerically shown.
- basic reproduction ratio,
- equilibrium solution,
- global stability,
- meningitis,
- two strain
Citation: Isa Abdullahi Baba, Lawal Ibrahim Olamilekan, Abdullahi Yusuf, Dumitru Baleanu. Analysis of meningitis model: A case study of northern Nigeria[J]. AIMS Bioengineering, 2020, 7(4): 179-193. doi: 10.3934/bioeng.2020016

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Abstract

A new strain of meningitis emerges in northern Nigeria, which brought a lot of confusion. This is because vaccine and treatment for the old strain was adopted but to no avail. It was later discovered that it was a new strain that emerged. In this paper we consider the two strains of meningitis (I 1 and I 2). Our aim is to analyse the effect of one strain on the dynamics of the other strain mathematically. Equilibrium solutions were obtained and their global stability was analysed using Lyaponuv function. It was shown that the stability depends on magnitude of the basic reproduction ratio. The coexistence of the two strains was numerically shown.

Acknowledgments

We would like to thank the reviewers for their useful suggestions.

Conflict of interest

Authors declare that they have no conflict of interest.

References

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