Analysis of a mathematical model for the pine wilt disease using a graph theoretic approach

Abstract:

In this paper, we study a vector–host mathematical model for the pine wilt disease, considering indirect and direct transmission of the disease. An explicit formula for the basic reproduction number (R0) is obtained. The global stability of the DFE is proved using a graph theoretic approach and a matrix theoretic method. We show that when R0 is less than one, the DFE always exists and it is globally asymptotically stable, and the disease persists at an endemic level. Finally, local sensitivity analysis of parameters and numerical experiments are carried out to illustrate the theoretical bases for the prevention and control of the disease.

Año de publicación:

2020

Keywords:

• Equilibrium points
• Sensitivity Analysis
• Perron eigenvector
• matrix theoretic method
• Kirchhoff's matrix tree theorem

Fuente:

scopus