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Abstract
Meningococcal meningitis is a contagious and severe bacterial disease caused by meningococcus (Neisseria meningitidis). It is spread by human through respiratory droplets of infected-infectious individual in close contact environment. Due to the threat posed by meningococcal meningitis, four compartmental meningitis model was formulated to gain more insight on transmission dynamics of meningococcal meningitis. The next generation matrix (NGM) method was used to obtain the basic reproduction number . The model was epidemiologically and mathematically well posed. Both disease free equilibrium (DFE) point and endemic equilibrium point (EEP) of model were obtained. Analysis of the stability of the disease free equilibrium (DFE) was done using linearization of the Jacobian matrix method. The result showed that the disease free equilibrium (DFE) point of the model was locally asymptotically stable as threshold and effective contact rate increase the basic reproduction number . Sensitivity analysis result value showed that effective contact rate is the most sensitive parameter with value of 1.0000 which propel the reproduction number . The increment in basic reproduction number makes it more difficult to have disease free environment.
Keywords
Meningococcal meningitis, Reproduction number, Numerical simulation, Sensitivity analysis, Stability analysis.
Citations
IRE Journals:
Muritala A. Afolabi , Kamorudeen S. Adewoye , Adeyinka I. Folorunso , Musibau A. Omoloye
"A Mathematical Model on Transmission Dynamics of Meningococcal Meningitis" Iconic Research And Engineering Journals Volume 4 Issue 10 2021 Page 59-66
IEEE:
Muritala A. Afolabi , Kamorudeen S. Adewoye , Adeyinka I. Folorunso , Musibau A. Omoloye
"A Mathematical Model on Transmission Dynamics of Meningococcal Meningitis" Iconic Research And Engineering Journals, 4(10)
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