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

页码：C90 / C96

页数：7

共 50 条

[1] Numerical algorithms for solving the anomalous diffusion inverse problems
Ivaschenko, DS
Korus 2004, Vol 2, Proceedings, 2004, : 137 - 139
[2] ON PARALLEL ALGORITHMS FOR SOLVING THE DIRECT AND INVERSE PROBLEMS OF IONOSPHERIC SOUNDING
Makhmutova, Marina
Makeimutov, Shamil
MATHEMATICA MONTISNIGRI, 2015, 32 : 23 - 30
[3] Numerical method of solving the direct and inverse problems of conformal mappings
Aptekarev, AI
Volevich, LR
Kazandjan, ÉP
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2004, 11 (03) : 277 - 288
[4] A direct numerical method for solving inverse heat source problems
Xiong Xiangtuan
Yan Yaomei
Wang Junxia
INTERNATIONAL CONFERENCE ON INVERSE PROBLEMS 2010, 2011, 290
[5] Solving the Direct and Inverse Geodetic Problems on the Ellipsoid by Numerical Integration
Sjoberg, Lars E.
Shirazian, Masoud
JOURNAL OF SURVEYING ENGINEERING-ASCE, 2012, 138 (01): : 9 - 16
[6] Numerical Algorithms for Inverse and Direct Diffraction Problems of Rectangular Grating
Yang, Xiaoguang
Chu, Zhiyuan
Zheng, Enxi
2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 2054 - 2060
[7] Optimization of Numerical Algorithms for Solving Inverse Problems of Ultrasonic Tomography on a Supercomputer
Romanov, Sergey
SUPERCOMPUTING, RUSCDAYS 2017, 2017, 793 : 67 - 79
[8] NUMERICAL ALGORITHMS FOR SOLVING THE INVERSE PROBLEM
Huseynova, N. Sh.
Orucova, M. Sh.
Safarova, N. A.
Hajiyeva, N. S.
Rustamova, L. A.
PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL I, 2018, : 191 - 193
[9] ALGORITHMS OF SOLVING INVERSE HYDROACOUSTICS PROBLEMS
Kabanikhin, S. I.
Shishlenin, M. A.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2011, 8 : C85 - C94
[10] Iterative projection algorithms for solving inverse problems
Millane, RP
OCEANS 2003 MTS/IEEE: CELEBRATING THE PAST...TEAMING TOWARD THE FUTURE, 2003, : 2714 - 2719

← 1 2 3 4 5 →