Stability Analysis of Susceptible Infected Treatment Recovered Model on COVID-19 Spread With Vaccination

Ratna Hayani Tsani, Muhafzan Muhafzan, Arrival Rince Putri, Yanita Yanita

Abstract


In this paper, we analyzes the fixed point stability of the susceptible  infected treatment recovered (SITR) model on COVID-19 spread with vaccination was given to susceptible sub populations. In this model, the susceptible is further divided two sub populations, the first parts is those from normal individuals and the second parts is individuals who are elderly or co morbid. The model being constructed is a nonlinear system by assuming that individuals who have been vaccinated already have strong immunity, so that them cannot be infected by  COVID-19. This model has two fixed points, the disease-free fixed point and the endemic fixed point. Furthermore, a stability analysis is carried out on the two fixed points, which shows that the disease-free fixed point is asymptotically stable if I > 0 and the endemic fixed point is asymptotically stable if  I = 0. To observe the implementation of the model, numerical simulation is conducted using  the 4th order Runge Kutta method and the help of Matlab.


Keywords


SITR model, Stability, Vaccination

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DOI: http://dx.doi.org/10.52155/ijpsat.v35.2.4816

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