Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

A Citrus Huanglongbing Model with Varying Pulse Roguing and General Incidence

Download PDF (788.1 KB) PP. 222 - 233 Pub. Date: October 1, 2016

DOI: 10.22606/jaam.2016.14003

Author(s)

  • Feiping Xie
    Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China
  • Shujing Gao*
    Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China
  • Dan Yu
    Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China
  • Fumin Zhang
    Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China

Abstract

A mathematical model of a grove infected by citrus greening is established, in which an impulsive control strategy of removing infected trees and dead trees is adopted and the general incidence is taken into consideration. By the method of fluctuation, the dynamics behavior is analyzed. Theoretical results show that if R1 < 1 the disease-free periodic solution is global attractive and the disease becomes extinct, if R2 > 1, the disease-free periodic solution is unstable and the disease uniformly persists. By numerical simulation, the theoretical results are illustrated and sensitivity analysis is given.

Keywords

Citrus Huanglongbing model, general incidence, global attractivity, permanence.

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