NUMERICAL ALGORITHMS FOR SOLVING OF DIRECT AND INVERSE PROBLEMS IN EPIDEMIOLOGY

被引：0
|
作者：
Ilyin, A. I. [1 ]
Kabanikhin, S. I. [2 ]
Krivorotko, O. I. [2 ]
Voronov, D. A. [2 ]
Kashtanova, V. N. [3 ]
机构：
[1] Joint Stock Co Sci Ctr Antiinfect Drugs, 75V Al Farabi Ave, Alma Ata, Kazakhstan
[2] Inst Computat Math & Math Geophys SB RAS, Novosibirsk 630090, Russia
[3] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2015年 / 12卷
关键词：
inverse problem; epidemiology; ordinary differential equation system; Nelder-Mead algorithm; Tuberculosis parameter identification;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The problem of parameter identification for mathematical model of Tuberculosis spread using additional information about susceptible, latent infectious, infected and non-infected individuals is numerically investigated. The inverse problem is numerically solved by the Nelder-Mead algorithm. It is shown that Nelder-Mead method allows one to determine eight parameters of above model, namely transmissibility parameter, rate of Tuberculosis epidemics, mortality rate of population due to Tuberculosis, the probability of infection propagation, etc., with accuracy of 10(-13) during 251 iterations (10 seconds using AMD A10-5750M APU 2.50 GHz).
引用
收藏
页码：C90 / C96
页数：7
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