具有非线性发生率的脉冲植物病动力学模型

Analysis of a Class of SIS Plant Disease Model with Nonlinear Incidence Rate and Time-varying Impulses

研究一类具有一般非线性发生率和时变脉冲的非自治SIS植物病模型的动力学性质.首先证明系统无病周期解的存在唯一性,然后通过分析的方法得到无病周期解的全局吸引性和运用震荡分析得到疾病持续存在的条件,最后给出非自治植物病的一些防控措施和生物学意义.

The dynamics properties of a non-autonomous SIS plant disease model with nonlinear incidence rate and time-varying impulse are stuied.Firstly,the existence of the unique disease-free periodic solution was proved.By the comparison theorem and the method of fluctuation,the sufficient conditions which guarantee the global attractiveness of the disease-free periodic solution and the existence of the disease are obtained.Finally,we give some advises to control plant disease and the biological mean of plant disease model.