期刊名称：An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
印刷版ISSN：2146-5703
出版年度：2017
卷号：8
期号：1
页码：17-25
语种：English
出版社：An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
摘要：In this paper we investigate a possible applicability of the newly established fractional differentiation in the field of epidemiology. To do this we extend the model describing the Rubella spread by replacing the time derivative with the time fractional derivative for the inclusion of memory. Detailed analysis of existence and uniqueness of exact solution is presented using the Banach fixed point theorem. Finally some numerical simulations are showed to underpin the effectiveness of the used derivative.
关键词：rubella disease model, special solution, fixed point theorem, numerical simulations
