Abstract. In this study we consider a mathematical model of an SIR epidemic model with a saturated incidence rate. We used the optimal vaccination strategies to minimize the susceptible and infected individuals and to maximize the number of recovered individuals. We work in the nonlinear optimal control framework. The existence result was discussed. A characterization of the optimal control via...

in this paper, a new numerical method is presented for solvingthe optimal control problems of bang-bang type with free or xed terminaltime. the method is based on bezier polynomials which are presented inany interval as [t0; tf ]. the problems are reduced to a constrained problemswhich can be solved by using lagrangian method. the constraints ofthese problems are terminal state and conditions....

‎in this paper‎, ‎we study spectral element approximation for a constrained‎ ‎optimal control problem in one dimension‎. ‎the equivalent a posteriori error estimators are derived for‎ ‎the control‎, ‎the state and the adjoint state approximation‎. ‎such estimators can be used to‎ ‎construct adaptive spectral elements for the control problems.

In this survey we report some recent results in the mathematical modelling of epidemic phenomena through use kinetic equations. We initially consider models interaction between agents which social characteristics play a key role spread an epidemic, such as age individuals, number contacts, and their economic wealth. Subsequently, for models, discuss possibility containing appropriate optimal co...

background: following the outbreak of eltor cholera in iraq’s kurdistan, iran was threatened through the western border. therefore, the aim of the present study was to evaluate the health system response of marivan city in kurdistan province (iran) as a risky gateway for the outbreak of eltor cholera epidemic in iran. materials and methods: this cross-sectional study was implemented in marivan ...

in the present paper, we develop a modified pseudospectral scheme for solving an optimal control problem which is governed by a switched dynamical system. many real-world processes such as chemical processes, automotive systems and manufacturing processes can be modeled as such systems. for this purpose, we replace the problem with an alternative optimal control problem in which the switching t...