ABSTRACT
In this chapter, a Nipah virus transmission model in human population has been formulated. According to the transmission mechanism of Nipah virus, it is assumed that the Nipah virus is transmitted in human population in two possible ways: (i) through infected pig and (ii) through infected human. Optimal control strategies have been developed to minimize the number of infected humans from Nipah virus as well as to minimize the cost of control strategies. Boundedness of solutions and different possible equilibrium points have been studied. The existence condition of the optimal control problem has been investigated. The numerical simulation results without control and with control (vaccination and treatment) of Nipah virus transmission model have been compared. From the theoretical and numerical results, it can be concluded that in order to reduce Nipah virus transmission from human population, vaccination and treatment controls can be considered together.
