In this paper,we propose a new mathematical model based on the association between susceptible and recovered individual.Then,we study the stability of this model with the deterministic case and obtain the conditions f...In this paper,we propose a new mathematical model based on the association between susceptible and recovered individual.Then,we study the stability of this model with the deterministic case and obtain the conditions for the extinction of diseases.Moreover,in view of the association between susceptible and recovered individual perturbed by white noise,we also give sufficient conditions for the extinction and the permanence in mean of disease with the white noise.Finally,we have numerical simulations to demonstrate the correctness of obtained theoretical results.展开更多
基金This work was supported financially by the Natural Science Foundation of Shandong Province under Grant No.ZR2017MA045.
文摘In this paper,we propose a new mathematical model based on the association between susceptible and recovered individual.Then,we study the stability of this model with the deterministic case and obtain the conditions for the extinction of diseases.Moreover,in view of the association between susceptible and recovered individual perturbed by white noise,we also give sufficient conditions for the extinction and the permanence in mean of disease with the white noise.Finally,we have numerical simulations to demonstrate the correctness of obtained theoretical results.
