Transmission And Control Dynamics Of Rotavirus Diarrhea Model With Double Dose Vaccination
Journal Of Mechanics Of Continua And Mathematical Sciences, Vol.-19, No.-10,
DOI:
https://doi.org/10.60951/afrischolar-389Keywords:
Lyapunov function, Diarrhea Model, Vaccination, Basic Reproduction Number, StabilityAbstract
This study introduces a six-compartmental mathematical model (S, V1, V2, E, I, R) to examine the impact of administering a double dose vaccine on the dynamic spread of diarrhea within a community. The mathematical analysis shows the existence of equilibrium points for both disease-free and endemic states in the model. The basic reproduction number R0 was determined using the Next Generation Matrix. Analysis has shown that the basic reproduction number R0 < 1 which indicates the disease-free equilibrium point is locally asymptotically stable. Also, using a suitable Lyapunov functional for the model system expressed in state variables and parameters defining the dynamic characteristics of spread and control strategies of the rotavirus diarrhea to obtain the global stability of disease-free equilibrium point over time. A numerical simulation was carried out by Wolfram Mathematica to show the effect of a seconddose vaccine. The inclusion of a double-dose vaccine has been found to have a
significant effect on completely eliminating the outbreak of diarrhea. This is evidenced by the local and global stability results, which indicate that effective measures have been taken to prevent the reintroduction or transmission of the disease, and if there
may be a risk of outbreaks or reemergence of the disease, very little continuous monitoring and intervention strategies are required to maintain control as this should be taken seriously by medical practitioners or policy health makers.
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