Multiple Control Strategies for Prevention of Avian Influenza Pandemic
We present the prevention of avian influenza pandemic by adjusting multiple control functions in the human-to-human transmittable avian influenza model. First we show the existence of the optimal control problem; then by using both analytical and numerical techniques, we investigate the cost-effecti...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/949718 |
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| _version_ | 1832551895020863488 |
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| author | Roman Ullah Gul Zaman Saeed Islam |
| author_facet | Roman Ullah Gul Zaman Saeed Islam |
| author_sort | Roman Ullah |
| collection | DOAJ |
| description | We present the prevention of avian influenza pandemic by adjusting multiple control functions in the human-to-human transmittable avian influenza model. First we show the existence of the optimal control problem; then by using both analytical and
numerical techniques, we investigate the cost-effective control effects for the prevention of transmission of disease. To do this, we use three control functions, the effort to reduce the number of contacts with human infected with mutant avian influenza, the antiviral treatment of infected individuals, and the effort to reduce the number of infected birds. We completely characterized the optimal control and compute numerical solution of the optimality system by using an iterative method. |
| format | Article |
| id | doaj-art-a4cc86e30de340a78c8459d01b6bc064 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-a4cc86e30de340a78c8459d01b6bc0642025-02-03T06:00:08ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/949718949718Multiple Control Strategies for Prevention of Avian Influenza PandemicRoman Ullah0Gul Zaman1Saeed Islam2Department of Mathematics, Bacha Khan University, Charsadda 24420, PakistanDepartment of Mathematics, University of Malakand, Chakdara 23101, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanWe present the prevention of avian influenza pandemic by adjusting multiple control functions in the human-to-human transmittable avian influenza model. First we show the existence of the optimal control problem; then by using both analytical and numerical techniques, we investigate the cost-effective control effects for the prevention of transmission of disease. To do this, we use three control functions, the effort to reduce the number of contacts with human infected with mutant avian influenza, the antiviral treatment of infected individuals, and the effort to reduce the number of infected birds. We completely characterized the optimal control and compute numerical solution of the optimality system by using an iterative method.http://dx.doi.org/10.1155/2014/949718 |
| spellingShingle | Roman Ullah Gul Zaman Saeed Islam Multiple Control Strategies for Prevention of Avian Influenza Pandemic The Scientific World Journal |
| title | Multiple Control Strategies for Prevention of Avian Influenza Pandemic |
| title_full | Multiple Control Strategies for Prevention of Avian Influenza Pandemic |
| title_fullStr | Multiple Control Strategies for Prevention of Avian Influenza Pandemic |
| title_full_unstemmed | Multiple Control Strategies for Prevention of Avian Influenza Pandemic |
| title_short | Multiple Control Strategies for Prevention of Avian Influenza Pandemic |
| title_sort | multiple control strategies for prevention of avian influenza pandemic |
| url | http://dx.doi.org/10.1155/2014/949718 |
| work_keys_str_mv | AT romanullah multiplecontrolstrategiesforpreventionofavianinfluenzapandemic AT gulzaman multiplecontrolstrategiesforpreventionofavianinfluenzapandemic AT saeedislam multiplecontrolstrategiesforpreventionofavianinfluenzapandemic |