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.
plant diseasesaturation effectequilibriumPoincaré transformationsingularities at infinity
维普
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