IMPACT OF BEHAVIORAL CHANGE ON THE EPIDEMIC CHARACTERISTICS OF AN EPIDEMIC MODEL WITHOUT VITAL DYNAMICS

被引:2
|
作者
Li, Jianquan [1 ]
Wang, Xiaoqin [1 ]
Lin, Xiaolin [1 ]
机构
[1] Shaanxi Univ Sci & Technol, Sch Arts & Sci, Xian 710021, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Epidemic models; epidemic final size; peak; turning point; inhibition parameter; DISEASE; SIZE;
D O I
10.3934/mbe.2018065
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The epidemic characteristics of an epidemic model with behavioral change in [V. Capasso, G. Serio, A generalizaition of the Kermack-McKendrick deterministic epidemic model, Math. Bios., 42 (1978), 43-61] are investigated, including the epidemic size, peak and turning point. The conditions on the appearance of the peak state and turning point are represented clearly, and the expressions determining the corresponding time for the peak state and turning point are described explicitly. Moreover, the impact of behavioral change on the characteristics is discussed.
引用
收藏
页码:1425 / 1434
页数:10
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