Research Article

Analysis of meningitis model: A case study of northern Nigeria

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

    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

    Related Papers:

  • 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.


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    Acknowledgments



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

    Conflict of interest



    Authors declare that they have no conflict of interest.

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