Optimal Control Model of Malaria Spread in South Kalimantan

Abstract

South Kalimantan is one of the provinces vulnerable to malaria because their work is in the vicinity of forests such as miners, gold miners, forest product seekers even living on the edge of the forests based. Malaria eradication has always been carried out by the government through the South Kalimantan and its achievements have increased, but it is still a problem and needs tougher efforts to achieve malaria free. One way to eradicate the disease is to control it through mathematical modelling SEIR model with infectious force in latent, infected and immune periode. This research analyzes equilibrium point from the malaria distribution model, conducts Optimal Control to complete Mathematical Model of Malaria Spread in South Kalimantan, and accordingly obtains the solution control u1(t);the vaccination effort given to reduce the number of susceptible individuals into latent individuals and u2(t) ; the control of the treatment given to the infected individual to be cured. In the end of this research as a result the solutions will be found in form of control u1∗ and u2∗.