[PDF][PDF] Propagation Dynamics of Meningitis Disease Based on Complex Network Modeling
OT Olu, OO Michael, OS Nathaniel, OA Abraham… - health, 2023 - academia.edu
health, 2023•academia.edu
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, Rmg, is below one. Conversely, a meningitis-
endemic equilibrium is stable when Rmg exceeds one. To verify the model, we utilize …
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, Rmg, is below one. Conversely, a meningitis-
endemic equilibrium is stable when Rmg exceeds one. To verify the model, we utilize …
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, Rmg, is below one. Conversely, a meningitis-endemic equilibrium is stable when Rmg 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 Rmg, 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.
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