Résumé
Maize Lethal Necrosis Disease (MLND) is a deadly disease that result from synergistic interaction between the Maize Chlorotic Mottle Virus (MCMV)and potyviridae such as Sugarcane Mosaic Virus (SCMV). MCMV are transmitted by several vectors including, beetles, ower thrips and maize thrips (Frankliniella Williams) in semi-persistent manner while SCMV are transmitted by aphids including Rhopalosiphum maidis, Rhopalosiphum padi, Myzus persicae, Schizaphis graminum in nonpersistent manner. In this talk, we propose a partially degenerate co-infection vector borne-disease model in unbounded domain. We present some theoretical results on the existence of traveling wave solution when one of the virus is circulating and we illustrate it numerically. When both virus are circulating, we show the existence of traveling wave solutions through numerical simulations, for different invasion scenarios depending on the threshold parameters and initial conditions. We discuss the consequences of these traveling waves in terms of crop protection.