Controlling the Spread of Malaria-Cholera Co-infection with Effective Intervention Strategy

In this paper, we consider a pursuit differential game problem described by an infinite system of binary differential equations in the Hilbert space \(l_{2}\). The control parameters of theplayers are subject to geometric constraints. The pursuer's goal is to complete the game by bringing the state of the system to theorigin, while the evader's goal is the contrary. The guaranteed pursuit time required to achieve the pursuer's goal is estimated. To this end, we constructedan optimal strategy for the pursuer.