Stability analysis on the model of rice blast disease under changing of rice cultivar, virulence of fungus and growth stage of rice

The global asymptotic stability is considered in the model of rice blast disease under the difference of rice cultivar susceptibility, virulence of fungus and growth stage of rice. A new global as-ymptotic stability criterion of equilibrium point for susceptible-exposed-infections-recovered (SEIR) epidemic model is derived by constructing a suitable function. Then, this research shows the points of free-disease equilibrium and endemic equilibrium to be able to apply for study on the preparation to prevent the rice blast disease or plan rice planting.