Stability Analysis and Numerical Simulation of Covid-19 Transmission with Vaccination

Zulistia Nabila, Arrival Rince Putri, Susila Bahri

Abstract


This study reviews the epidemic model, that is SIRD (Susceptible, Infected, Recovered, Death) model of Covid-19 transmission with vaccination. The SIRD model contains four compartments in the population, namely the susceptible compartment, the infected compartment, the recovered compartment, and the death compartment. The model is analyzed for stability around the equilibrium point based on the eigenvalues of the Jacobian matrix. Furthermore, the basic reproduction number associated with the stability of the model is determined. The model is simulated with different parameter values for both equilibrium points. Numerical simulations are given to confirm the analytical results by showing the solutions and their phase portraits.

 


Keywords


Epidemic Model, Numerical Simulation, Stability System Stability, Threshold Number

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References


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DOI: http://dx.doi.org/10.52155/ijpsat.v36.1.4871

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