What is it about?
A generalized model of intra-host CHIKV infection with two routes of infection has been proposed. In a first step, the basic reproduction number R0 was calculated using the next-generation matrix method and the local and global stability analyses of the steady states are carried out using the Lyapunov method. It is proven that the CHIKV-free steady state E¯ is globally asymptotically stable when R0≤1, and the infected steady state E∗ is globally asymptotically stable when R0>1. In a second step, we applied an optimal strategy via the antibodies’ flow rate in order to optimize infected compartment and to maximize the uninfected one. For this, we formulated a nonlinear optimal control problem. Existence of the optimal solution was discussed and characterized using an adjoint variables. Thus, an algorithm based on competitive Gauss–Seidel-like implicit difference method was applied in order to resolve the optimality system. The theoretical results are confirmed by some numerical simulations.
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This page is a summary of: Modelling and optimal control for Chikungunya disease, Theory in Biosciences, October 2020, Springer Science + Business Media,
DOI: 10.1007/s12064-020-00324-4.
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