Penerapan Dua Kendali Optimal pada Model Matematika Penyebaran Virus Ebola dengan Menggunakan Prinsip Minumum Pontryagin (PMP)

Abstract

In this journal a mathematical model of the SEIR type (Susceptible, Exposed, Infected, Recovery) was developed by adding two optimal controls, namely counseling control   and treatment control to support the immunity of Ebola Virus positive patients in fighting the virus . After the system was established, the control  and  were then optimized using the PMP method with the aim of minimizing the number of individuals with deviant behavior in population S by implementing extension control   and minimizing the number of individuals infected with the Ebola Virus in population I by providing treatment to support the patient's immune system in fighting the virus . Based on these results,  can be optimal if ; where  is the cost required to implement control . And  can be optimal if ; where  is the cost required to implement control . Apart from that, in this journal the optimal state and costate equations are obtained which can later be used in Matlab simulations to visualize the effectiveness of the optimal control used.