Optimal vaccination and treatment in the SIR epidemic model
نویسندگان
چکیده
ABSTRACT Mathematical epidemiological models for the dynamics of infections that induce lifelong immunity have been extensively developed. In this work, we consider a nonlinear SIR model given by a nonlinear system describing the dynamics of the interaction between susceptible and infective individuals in population. We analyze the dynamical behavior of the nonlinear system and then use two types of control vaccination and treatment to reduce the susceptible and infective individuals and increase the number of recovered individuals. The optimality system is derived and then solved numerically using an iterative method with Runge-Kutta fourth order scheme.
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