2020/02/18 by Martin, Olivier, Fernandez-Diclo, Yasmil, Coville, Jerome +1
#Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE)
paper · doi:10.48550/arxiv.2002.07542
Insect-borne diseases are diseases carried by insects affecting humans, animals or plants. They have the potential to generate massive outbreaks such as the Zika epidemic in 2015-2016 mostly distributed in the Americas, the Pacific and Southeast Asia, and the multi-foci outbreak caused by the bacterium \it Xylella fastidiosa in Europe in the 2010s. In this article, we propose and analyze the behavior of a spatially-explicit compartmental model adapted to pathosystems with fixed hosts and mobile vectors disseminating the disease. The behavior of this model based on a system of partial differential equations is complementarily characterized via a theoretical study of its equilibrium states and a numerical study of its transitive phase using global sensitivity analysis. The results are discussed in terms of implications concerning the surveillance and control of the disease over a medium-to-long temporal horizon.