Regional Control for Spatially Structured Mosquito Borne Epidemics

Abstract This paper is a continuation of previous by the first two authors to appear in same IWR Special Issue for Scientific Computing. We are concerned with an optimal regional control problem spatially structured vector borne epidemic system, considering malaria as case study. A conceptual reduced mathematical model had been presented consisting two-component reaction-diffusion system. Three actions (controls) included: killing mosquitoes, treating infected humans and reducing contact rate mosquitoes-humans. The which faced concerns choice region intervention, introducing cost functional takes into account total damages produced disease, controls intervention certain subdomain, finite time horizon case. gradient algorithm proposed search minimal value functional, respect both parameters intervention. scope present numerical implementation such algorithm. level set method has played major role description subregion outcomes series simulations reported, under variety parameter scenarios.