Universal Journal of Public Health Vol. 11(3), pp. 324 - 331
DOI: 10.13189/ujph.2023.110306
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Propagation Dynamics of Meningitis Disease Based on Complex Network Modeling

OGUNLADE Temitope Olu ^1,*, OGUNMILORO Oluwatayo Michael ¹, OGUNYEBI Segun Nathaniel ¹, OBAYOMI Adesoji Abraham ¹, FADUGBA Sunday Emmanuel ¹, ADEBAYO Kayode James ¹, HALID Omobolaji Yusuf ², FAWEYA Olanrewaju ², OLUBIYI Adenike Oluwafunmilola ², BALOGUN Kayode Oguntuase ³, OGINNI Omoniyi Israel ⁴, AJIBADE Felix Damilola ⁵, OGUNBOYO Ojo Femi ^6
1 Department of Mathematics, Faculty of Science, Ekiti State University, Ado - Ekiti, Nigeria
² Department of Statistics, Ekiti State University Ado - Ekiti, Nigeria
³ Federal School of Statistics, Oyo State, Nigeria
⁴ Department of Science Education, Ekiti State University Ado - Ekiti, Nigeria
⁵ Department of Mathematics, Federal University Oye-Ekiti, Nigeria
⁶ University of Medical Sciences, Nigeria

ABSTRACT

In this study, we develop a mathematical model to explore the impact of awareness and lack thereof on the spread of meningitis within human populations, framed within a complex network context. The model's equilibrium solutions are used to ascertain its asymptotic stability, revealing that a meningitis-free equilibrium is locally and globally asymptotically stable when the basic reproduction number, R_mg, is below one. Conversely, a meningitis-endemic equilibrium is stable when R_mg exceeds one. To verify the model, we utilize parameters derived from existing literature on meningitis prevalence in Nigeria for simulation and prediction purposes. A sensitivity analysis of these parameters demonstrates that contact rates related to meningitis transmission affect R_mg, subsequently increasing infection rates within the population. Our simulations also indicate that the absence of awareness contributes to elevated meningitis transmission levels, suggesting that additional control measures are necessary to curb the spread of the disease.

KEYWORDS
Basic Reproduction Number R_mg, Stability Analysis, Sensitivity Analysis, Complex Network

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] OGUNLADE Temitope Olu , OGUNMILORO Oluwatayo Michael , OGUNYEBI Segun Nathaniel , OBAYOMI Adesoji Abraham , FADUGBA Sunday Emmanuel , ADEBAYO Kayode James , HALID Omobolaji Yusuf , FAWEYA Olanrewaju , OLUBIYI Adenike Oluwafunmilola , BALOGUN Kayode Oguntuase , OGINNI Omoniyi Israel , AJIBADE Felix Damilola , OGUNBOYO Ojo Femi , "Propagation Dynamics of Meningitis Disease Based on Complex Network Modeling," Universal Journal of Public Health, Vol. 11, No. 3, pp. 324 - 331, 2023. DOI: 10.13189/ujph.2023.110306.

(b). APA Format:
OGUNLADE Temitope Olu , OGUNMILORO Oluwatayo Michael , OGUNYEBI Segun Nathaniel , OBAYOMI Adesoji Abraham , FADUGBA Sunday Emmanuel , ADEBAYO Kayode James , HALID Omobolaji Yusuf , FAWEYA Olanrewaju , OLUBIYI Adenike Oluwafunmilola , BALOGUN Kayode Oguntuase , OGINNI Omoniyi Israel , AJIBADE Felix Damilola , OGUNBOYO Ojo Femi (2023). Propagation Dynamics of Meningitis Disease Based on Complex Network Modeling. Universal Journal of Public Health, 11(3), 324 - 331. DOI: 10.13189/ujph.2023.110306.