LOCAL STABILITY OF DENGUE MODEL USING THE FRACTIONAL ORDER SYSTEM WITH DIFFERENT MEMORY EFFECT ON THE HOST AND VECTOR POPULATION

被引：2
作者：
Hamdan, Nur 'Izzati [1 ]
Kilicman, Adem [1 ,2 ,3 ]
机构：
[1] Univ Putra Malaysia, Dept Math, Fac Sci, Serdang, Malaysia
[2] Univ Putra Malaysia, Inst Math Res, Serdang, Malaysia
[3] Istanbul Gelisim Univ, Dept Elect & Elect Engn, Istanbul, Turkey
来源：
THERMAL SCIENCE | 2019年 / 23卷
关键词：
dengue fever; fractional; local stability; epidemiology; BACKWARD BIFURCATIONS; TRANSMISSION; DYNAMICS; DISEASE;
D O I：
10.2298/TSCI181122046H
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this study, we formulate a fractional order dengue model by considering different order dynamics on human and mosquito population. The order of the differential equation is associated with the index of memory. Both human and mosquito carry a different value of order to showcase the different memory effect implies to each of them in the transmission process. Local stability of the equilibria is obtained based on the threshold parameter related to the basic reproduction number; denoted by R-0. Finally, numerical simulations of the model are conducted to study the dynamical behavior of the system.
引用
收藏
页码：S327 / S337
页数：11
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