Dynamic analysis of a class of plant disease model
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
万方数据
维普
