A new mathematical model for Zika virus transmission

被引：106
作者：
Rezapour, Shahram [1 ,2 ,3 ]
Mohammadi, Hakimeh [4 ]
Jajarmi, Amin [5 ,6 ]
机构：
[1] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam
[2] Duy Tan Univ, Fac Nat Sci, Da Nang 550000, Vietnam
[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[4] Islamic Azad Univ, Dept Math, Miandoab Branch, Miandoab, Iran
[5] Univ Bojnord, Dept Elect Engn, POB 94531-1339, Bojnord, Iran
[6] Near East Univ TRNC, Dept Math, Mersin 10, Nicosia, Turkey
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Equilibrium point; Fractional derivative; Euler method; Numerical simulation; Zika virus; COLLOCATION METHODS; EQUATIONS;
D O I：
10.1186/s13662-020-03044-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a new mathematical model for the transmission of Zika virus between humans as well as between humans and mosquitoes. In this way, we use the fractional-order Caputo derivative. The region of the feasibility of system and equilibrium points are calculated, and the stability of equilibrium point is investigated. We prove the existence of a unique solution for the model by using the fixed point theory. By using the fractional Euler method, we get an approximate solution to the model. Numerical results are presented to investigate the effect of fractional derivative on the behavior of functions and also to compare the integer-order derivative and fractional-order derivative results.
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页数：15
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