This article examines optimal control model for the spread of diphtheria disease. Diphtheria is an infectious disease caused by bacterium Corynebacterium diphtheriae. divided into six compartments, namely population susceptibles (

In this paper, we studied a mathematical model of tuberculosis with vaccination for the treatment tuberculosis. We considered an in-host that described interaction between Macrophages and Mycobacterium investigated effect treatments on uninfected macrophages. Optimal control is applied to show optimal effective strategies disease. The formula obtained using Hamiltonian function Pontryagin's max...

We consider a production-inventory control model with finite capacity and two different production rates, assuming that the cumulative process of customer demand is given by compound Poisson process. It possible at any time to switch over from rates but it mandatory switch-off when inventory reaches storage maximum capacity. holding, production, shortage penalty switching costs. This was introd...

For the time being, renewable energy source (RES) penetration has significantly increased in power networks, particularly microgrids. The overall system inertia is dramatically decreased by replacing traditional synchronous machines with RES. This negatively affects microgrid dynamics under uncertainties, lowering frequency stability, specifically islanded mode of operation. Therefore, this wor...