阈值策略下一类Lotka-Volterra Filippov型植物传染病模型的全局动力学

Global Dynamics of a Lotka-Volterra Filippov-Type Plant Infectious Disease Model under Threshold Strategy

摘要: 本文研究了阈值策略下一类Lotka-Volterra Filippov型植物传染病模型的全局动力学，当感染植株的数量和易感植株的数量比例小于数值k时，不采取措施，传染病最终会衍变成病；当感染植株的数量和易感植株的数量比例大于数值k时，采取等比例种植易感植株和移除感染植株的方式控制传染病传播。通过不同参数的取值，得到四种情形，分别分析了这四种情形下系统的全局动力学行为，得到四种结果。

Abstract: In this paper, the global dynamics of the Lotka-Volterra Filippov plant infectious disease model un-der the threshold strategy are studied, and when the ratio of the number of infected plants and the number of susceptible plants is less than the value k, if no measures are taken, the infectious dis-ease will eventually evolve into a disease. When the ratio of the number of infected plants to the number of susceptible plants is greater than the value k, the spread of infectious diseases is con-trolled by planting susceptible plants and removing infected plants in equal proportions. Through the values of different parameters, four situations are obtained, and the global dynamic behavior of the system in these four situations is analyzed respectively, and four results are obtained.