A fractional order pine wilt disease model with Caputo–Fabrizio derivative

Abstract

Abstract A Caputo–Fabrizio type fractional order mathematical model for the dynamics of pine wilt disease (FPWD) is presented. The basic properties of the model are investigated. The existence and uniqueness of the solution for the proposed FPWD model are given via the fixed point theorem. The numerical simulations for the model are obtained by using particular parameter values. The non-integer order derivative provides more flexible and deeper information about the complexity of the dynamics of the proposed FPWD model than the integer order models established before.

Keywords

• Caputo–Fabrizio (CF) fractional derivative
• Pint wilt disease
• Mathematical model
• Fixed point theorem
• Numerical simulation