On some reaction-diffusion equations generated by non-domiciliated triatominae, vectors of Chagas disease

Abstract

<p style='text-indent:20px;'>In this work, we study some reaction-diffusion equations set in two habitats which model the spatial dispersal of the triatomines, vectors of Chagas disease. We prove in particular that the dispersal operator generates an analytic semigroup in an adequate space and we prove the local existence of the solution for the corresponding Cauchy problem.</p>