Mathematical Study for Chikungunya Virus with Nonlinear General Incidence Rate

In this article, we examine the dynamics of a Chikungunya virus (CHIKV) infection model with two routes infection. The uses four categories, namely, uninfected cells, infected CHIKV virus, and antibodies. equilibrium points model, which consist free point for endemic point, are first analytically determined. Next, local stability is studied, based on basic reproduction number (R0) obtained by next-generation matrix. From analysis, it found that disease-free locally asymptotically stable if R0≤1, R0>1. Using Lyapunov method, global analysis steady-states confirms results. We then describe our design an optimal recruitment strategy to minimize as well nonlinear control problem. Some numerical simulations provided visualize analytical results obtained.