文章基本信息

标题：A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying
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作者：Devendra Kumar ; Jagdev Singh ; Maysaa Al Qurashi 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-19
DOI：10.1186/s13662-019-2199-9
出版社：Hindawi Publishing Corporation
摘要：The present paper deals with a new fractional SIRS-SI model describing the transmission of malaria disease. The SIRS-SI malaria model is modified by using the Caputo–Fabrizio fractional operator for the inclusion of memory. We also suggest the utilization of vaccines, antimalarial medicines, and spraying for the treatment and control of the malaria disease. The theory of fixed point is utilized to examine the existence of the solution of a fractional SIRS-SI model describing spreading of malaria. The uniqueness of the solution of SIRS-SI model for malaria is also analyzed. It is shown that the treatments have great impact on the dynamical system of human and mosquito populations. The numerical simulation of fractional SIRS-SI malaria model is performed with the aid of HATM and Maple packages to show the effect of different parameters of the treatment of malaria disease. The numerical results for fractional SIRS-SI malaria model reveal that the recommended approach is very accurate and effective.
关键词：Fractional SIRS-SI malaria model;Fixed point theorem;Caputo;Fabrizio fractional operator;HATM