Epidemic Modeling and Applications of Lagrangian Model Through MATLAB Tool

In the present work, Lagrange’s equation of motion is applied to analyze the dynamic nature of the as-developed SIR model and to accurately estimate the outbreak of chickenpox in Kharghuli of Kamrup (M) district of Assam, India. The dynamical system of Ordinary Differential Equation (ODE) is used to study the as-developed model, incorporating the partial Lagrangian function of the suspected population assuming that at any epidemiological compartment, the death rate is greater than or equal to 0 and both birth rate and death rate are equivalent and establish that the overall people are constant. For an outbreak duration of 10 days, the dynamic rate of the suspected population is analyzed, and observed that the possibility of recurrence of the disease is also an important factor as human mobility is scalable in transient and symmetrical dimensions.