Analytic study of pine wilt disease model with Caputo–Fabrizio fractional derivative

摘要

In this paper, we construct an analytical study of the epidemic pine wilt disease model in a Caputo–Fabrizio type fractional order; the basic properties of the fractional differential equation and the model are presented; we give the basic properties of the model. Applying the homotopy analysis transform method to obtain numerical solutions to the model, the numerical result represented in graphs is presented.