Numerical simulations for stochastic meme epidemic model

Advances in Difference Equations

article

Raza, Ali¹  Rafiq, Muhammad²  Baleanu, Dumitru³  Arif, Muhammad Shoaib¹ 

[1] Stochastic Analysis and Optimization Research Group, Department of Mathematics, Air University;Faculty of Engineering, University of Central Punjab;Department of Mathematics, Cankaya University;Institute of Space Sciences;Department of Medical Research, China Medical University Hospital, China Medical University

关键词: Meme model;    Stochastic approaches;    Convergence analysis;   

DOI  :  10.1186/s13662-020-02593-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

The primary purpose of this study is to perform the comparison of deterministic and stochastic modeling. The effect of threshold number is also observed in this model. For numerical simulations, we have developed some stochastic explicit approaches, but they are dependent on time step size. The implicitly driven explicit approach has been developed for a stochastic meme model. The proposed approach is always independent of time step size. Also, we have presented theorems in support of convergence of the proposed approach for the stochastic meme model.

【 授权许可】

CC BY