Global Dynamics for a Novel Differential Infectivity Epidemic Model with Stage Structure

被引：0
|
作者：
Jin, Yunguo [1 ,2 ]
机构：
[1] Chengdu Univ Informat Technol, Sch Stat, Chengdu 610103, Sichuan, Peoples R China
[2] State Stat Bur, Key Lab Stat Informat Technol & Data Min, Chengdu, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2016年 / 2016卷
关键词：
NONLINEAR INCIDENCE RATES; STABILITY ANALYSIS; POPULATION; SUSCEPTIBILITY; TRANSMISSION; DELAY; HIV;
D O I：
10.1155/2016/4823815
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A novel differential infectivity epidemic model with stage structure is formulated and studied. Under biological motivation, the stability of equilibria is investigated by the global Lyapunov functions. Some novel techniques are applied to the global dynamics analysis for the differential infectivity epidemic model. Uniform persistence and the sharp threshold dynamics are established; that is, the reproduction number determines the global dynamics of the system. Finally, numerical simulations are given to illustrate the main theoretical results.
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页数：8
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