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Scirj, Volume VIII [2020]
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Scirj Volume VIII, Issue IV, April 2020 Edition
ISSN: 2201-2796

A Mathematical Model for the Control of the Spread of Meningitis Virus Disease in West Africa- A Disease Free Equilibrium and Local Stability Analysis Approach

Egahi M., Agbata B.C., Shior M.M.,Odo C. E.

Abstract: In this research work, we developed and analysed a deterministic model for controlling the spread of meningitis virus disease in a population using disease free equilibrium and local stability analysis approach. The entire population was partitioned into six compartments which are: susceptible (S), vaccinated individuals (V), Carriers (C), infected individuals (I), treated individuals (T) and recovered individual (R) and every newborn in each compartment is previously infection free by assumption. A mathematical analysis of disease free equilibrium, basic reproduction number and local stability analysis were carried out. The results show that the disease free equilibrium state is stable and the endemic equilibrium state is locally asymptotically stable.

Reference this Paper: A Mathematical Model for the Control of the Spread of Meningitis Virus Disease in West Africa- A Disease Free Equilibrium and Local Stability Analysis Approach by Egahi M., Agbata B.C., Shior M.M.,Odo C. E. published at: "Scientific Research Journal (Scirj), Volume VIII, Issue IV, April 2020 Edition, Page 34-43 ".

Search Terms: Disease free equilibrium, Basic reproduction number, stability analysis, Jacobian matrix, meningitis, vaccination, carrier, treatment, equilibrium state

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