Article citationsMore>>

Taylor, R.A., Mordecai, E.A., Gilligan, C.A., Rohr, J.R. and Johnson, L.R. (2016) Mathematical Models Are a Powerful Method to Understand and Control the Spread of Huanglongbing. PeerJ, 4, e2642.
https://doi.org/10.7717/peerj.2642

has been cited by the following article:

• TITLE: Global Dynamics of a New Huanglongbing Transmission Model with Quarantine Measures

  AUTHORS: Yujiang Liu, Chunmei Zeng, Jing Guo, Zhenzhen Liao

  KEYWORDS: Huanglongbing, Basic Reproduction Number, Sensitivity Analysis, PRCC, Global Stability

  JOURNAL NAME: Applied Mathematics, Vol.13 No.1, January 7, 2022

  ABSTRACT: An epidemic model which describes Huanglongbing transmission is proposed with the goal of investigating the effect of quarantine measures on the spread of diseases. First of all, the analytical formula for the basic reproduction number R0 is obtained by the means of next generation matrix, and the existence of disease-free equilibrium and endemic equilibrium is discussed. Then, the local stability and the global stability of equilibria are investigated by using Routh-Hurwitz criterion and Lyapunov function, respectively. Numerical simulations indicate that comprehensive quarantine measures can effectively control the spread of Huanglongbing. It provides a reliable tactic basis for preventing the epidemic outbreak.