Influence of resistant varieties on the speed of propagation of simple epidemics in crops. (June 2017)

• Record Type: Journal Article
• Authors: Gordillo, L.F.; Jordan, S.
• Is Part Of: Applied mathematics letters. Volume 68(2017:Jun.)
• Page Start: 129
• Page End: 134
• Publication Date: 2017-06
• Subjects: Simple epidemic -- Resistant varieties -- Disease traveling front; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2017.01.008
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: We determine the speeds of traveling wave fronts for simple epidemics in crops that contain a mixture of resistant and non-resistant hosts. For our model the wave speeds are found to be proportional to the fraction of resistant individuals. The conclusions are reached through the application of the linear conjecture, and verified by comparing the results with numerical solutions of the non-linear model.