Distributed Control and the Lyapunov Characteristic Exponents in the Model of Infectious Diseases
The Marchuk model of infectious diseases is considered. Distributed control to make convergence to stationary point faster is proposed. Medically, this means that treatment time can be essentially reduced. Decreasing the concentration of antigen, this control facilitates the patient’s condition and...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/5234854 |
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| _version_ | 1849468843834998784 |
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| author | M. Bershadsky M. Chirkov A. Domoshnitsky S. Rusakov I. Volinsky |
| author_facet | M. Bershadsky M. Chirkov A. Domoshnitsky S. Rusakov I. Volinsky |
| author_sort | M. Bershadsky |
| collection | DOAJ |
| description | The Marchuk model of infectious diseases is considered. Distributed control to make convergence to stationary point faster is proposed. Medically, this means that treatment time can be essentially reduced. Decreasing the concentration of antigen, this control facilitates the patient’s condition and gives a certain new idea of treating the disease. Our approach involves the analysis of integro-differential equations. The idea of reducing the system of integro-differential equations to a system of ordinary differential equations is used. The final results are given in the form of simple inequalities on the parameters. The results of numerical calculations of simulation models and data comparison in the case of using distributive control and in its absence are given. |
| format | Article |
| id | doaj-art-f44dfcab02224ca18b8093ca80d9fabd |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-f44dfcab02224ca18b8093ca80d9fabd2025-08-20T03:25:43ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/52348545234854Distributed Control and the Lyapunov Characteristic Exponents in the Model of Infectious DiseasesM. Bershadsky0M. Chirkov1A. Domoshnitsky2S. Rusakov3I. Volinsky4Ariel University, Ariel, IsraelPerm State University, Perm, RussiaAriel University, Ariel, IsraelPerm State University, Perm, RussiaAriel University, Ariel, IsraelThe Marchuk model of infectious diseases is considered. Distributed control to make convergence to stationary point faster is proposed. Medically, this means that treatment time can be essentially reduced. Decreasing the concentration of antigen, this control facilitates the patient’s condition and gives a certain new idea of treating the disease. Our approach involves the analysis of integro-differential equations. The idea of reducing the system of integro-differential equations to a system of ordinary differential equations is used. The final results are given in the form of simple inequalities on the parameters. The results of numerical calculations of simulation models and data comparison in the case of using distributive control and in its absence are given.http://dx.doi.org/10.1155/2019/5234854 |
| spellingShingle | M. Bershadsky M. Chirkov A. Domoshnitsky S. Rusakov I. Volinsky Distributed Control and the Lyapunov Characteristic Exponents in the Model of Infectious Diseases Complexity |
| title | Distributed Control and the Lyapunov Characteristic Exponents in the Model of Infectious Diseases |
| title_full | Distributed Control and the Lyapunov Characteristic Exponents in the Model of Infectious Diseases |
| title_fullStr | Distributed Control and the Lyapunov Characteristic Exponents in the Model of Infectious Diseases |
| title_full_unstemmed | Distributed Control and the Lyapunov Characteristic Exponents in the Model of Infectious Diseases |
| title_short | Distributed Control and the Lyapunov Characteristic Exponents in the Model of Infectious Diseases |
| title_sort | distributed control and the lyapunov characteristic exponents in the model of infectious diseases |
| url | http://dx.doi.org/10.1155/2019/5234854 |
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