脱毒处理下柑橘黄龙病动力学模型的稳定性分析  

Stability Analysis of Citrus Huanglongbing Dynamic Model Under Detoxification Treatment

作　　者：郭菁 周根娇 刘显成 GUO Jing;ZHOU Genjiao;LIU Xiancheng(Gannan University of Science and Technology;Key Laboratory of Pest and Disease Control for Regional Horticultural Plants,Jiangxi Province;School of Mathematics and Computer Science,Gannan Normal University,Ganzhou 341000,China)

机构地区：[1]赣南科技学院文法学院 [2]赣南师范大学特色园艺植物病虫害防控江西省重点实验室 [3]赣南师范大学数学与计算机科学学院,江西赣州341000

出　　处：《赣南师范大学学报》2024年第3期13-18,共6页Journal of Gannan Normal University

基　　金：国家自然科学基金项目(12361097);江西省自然科学基金项目(20224ACB201003,20232BAB206133);江西省教育科学“十四五”规划课题(23YB160);特色园艺植物病虫害防控江西省重点实验室项目(2024SSY04181)。

摘　　要：基于柑橘黄龙病的防控现状,本文建立了一类考虑脱毒处理的柑橘黄龙病动力学模型,计算得到了基本再生数R_(0).当R_(0)<1时,无病平衡点是全局稳定的,当R_(0)>1时,无病平衡点是不稳定的,通过数值模拟验证了结果.Based on the current situation of prevention and control of citrus Huanglongbing,a mathematical model has been formulated for the transmission dynamics of citrus Huanglongbing considering detoxification treatment.The disease-free equilibrium point was global stable at R_(0)<1,while R_(0)>1,the disease-free equilibrium point was unstable,and the results are verified through numerical simulation.

关 键 词：柑橘黄龙病 传染病模型 脱毒处理 基本再生数 全局稳定性 

分 类 号：O29[理学—应用数学]