Extinction and Ergodic Property of Stochastic SIS Epidemic Model with Nonlinear Incidence Rate | Zendy

Qixing Han | Zendy; Daqing Jiang | Zendy; Chengjun Yuan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Extinction and Ergodic Property of Stochastic SIS Epidemic Model with Nonlinear Incidence Rate

Author(s) -

Qixing Han,

Daqing Jiang,

Chengjun Yuan

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/127321

Subject(s) - ergodic theory , nonlinear system , property (philosophy) , incidence (geometry) , mathematics , ergodicity , epidemic model , algorithm , computer science , statistics , pure mathematics , demography , physics , geometry , philosophy , population , epistemology , quantum mechanics , sociology

We investigate a stochastic SIS model with nonlinear incidence rate. We show that there exists a unique nonnegative solution to the system, and condition for the infectious individuals I(t) to be extinct is given. Moreover, we prove that the system has ergodic property. Finally, computer simulations are carried out to verify our results

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research