Analysis of a model of a Zika/Dengue co-circulation

We analyze a system with two vector-borne diseases (Zika and Dengue) being present. We introduce both a deterministic and a stochastic model that capture the dynamics of the system. For the deterministic model, we study the existence and the stability of different equilibrium points. For the corresponding stochastic model, the existence and the uniqueness of the global positive solution are discussed. Some numerical simulations are used to confirm the theoretical results.