On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts
Résumé
Diseases, in particular, vector-borne diseases are very important issues in crop protection. However, despite their impact on food safety, very few mathematical models have been developed in order to improve control strategies. Motivated by existing literature, we begin by considering a temporal model of vector-borne diseases in (annual) crops. Using appropriate mathematical methods, we show the existence of threshold parameters and discuss several control strategies