On the Qualitative Behaviour of SIR Epidemics with Generalized Infection Rate Functions

被引：0
|
作者：
El Maroufy, Hamid [1 ]
Taib, Ziad [2 ,3 ]
机构：
[1] Fac Sci & Technol Beni Mellal, Dept Math, Beni Mellal, Morocco
[2] Chalmers, Dept Math, S-41296 Gothenburg, Sweden
[3] Univ Gothenburg, S-41296 Gothenburg, Sweden
来源：
APPLIED MATHEMATICS & INFORMATION SCIENCES | 2010年 / 4卷 / 03期
关键词：
Epidemic model; generalized infection rate; threshold theorems; total size; STOCHASTIC EPIDEMIC; MODELS; AIDS; POPULATION; SPREAD; SIZE; HIV;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an SIR stochastic epidemic model in which new infection occurs at rate f(n)(x,y), where x and y are respectively the number of susceptibles and infectives at time of infection and f(n) is a positive sequence of real functions. Threshold theorems analogous to those of Whittle and Williams are fairly proved for this model. Also we examine the shape of the total size distribution for various values of removal rate and suitable values of other important parameters.
引用
收藏
页码：353 / 363
页数：11
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