Purposes—To investigate the impact of control measures with saturation effect on the spread of plant disease.Methods—A class of plant disease model with the control measures of rogue-ing infected plants and replanting healthy plants is built in this paper.The saturation function is used to characterize the number of infected plants.Results—The disease-free equilibrium and the endemic e-quilibrium are unstable.The limit cycle for the model doesn't exist.The model not only exists the sin-gularities at infinity but also is unstable.Conclusions—Any solution of the model tends to the hetero-clinic orbit which connects three singularities.
关键词
植物疾病/饱和效应/平衡态/Poincaré变换/无穷远奇点
Key words
plant disease/saturation effect/equilibrium/Poincaré transformation/singularities at infinity
维普
万方数据