Prevention of Leptospirosis Infected Vector and Human Population by Multiple Control Variables
Leptospirosis is an infectious disease that damages the liver and kidneys, found mainly in dogs and farm animals and caused by bacteria. In this paper, we present the optimal control problem applied to a dynamical leptospirosis infected vector and human population by using multiple control variables...
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/619035 |
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| author | Muhammad Altaf Khan Saeed Islam Sher Afzal Khan Ilyas Khan Sharidan Shafie Taza Gul |
| author_facet | Muhammad Altaf Khan Saeed Islam Sher Afzal Khan Ilyas Khan Sharidan Shafie Taza Gul |
| author_sort | Muhammad Altaf Khan |
| collection | DOAJ |
| description | Leptospirosis is an infectious disease that damages the liver and kidneys, found mainly in dogs and farm animals and caused by bacteria. In this paper, we present the optimal control problem applied to a dynamical leptospirosis infected vector and human population by using multiple control variables. First, we show the existence of the control problem and then use analytical and numerical techniques to investigate the existence cost effective control efforts for prevention of indirect and direct transmission of this disease. In order to do this, we consider three control functions two for human
and one for vector population. We completely characterize the optimal control problem and compute the numerical solution of the optimality system using an iterative method. |
| format | Article |
| id | doaj-art-31ede93bbc0148d98eb9013e807763fb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-31ede93bbc0148d98eb9013e807763fb2025-02-03T01:22:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/619035619035Prevention of Leptospirosis Infected Vector and Human Population by Multiple Control VariablesMuhammad Altaf Khan0Saeed Islam1Sher Afzal Khan2Ilyas Khan3Sharidan Shafie4Taza Gul5Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Computer Sciences, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai, Johor, MalaysiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai, Johor, MalaysiaDepartment of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, PakistanLeptospirosis is an infectious disease that damages the liver and kidneys, found mainly in dogs and farm animals and caused by bacteria. In this paper, we present the optimal control problem applied to a dynamical leptospirosis infected vector and human population by using multiple control variables. First, we show the existence of the control problem and then use analytical and numerical techniques to investigate the existence cost effective control efforts for prevention of indirect and direct transmission of this disease. In order to do this, we consider three control functions two for human and one for vector population. We completely characterize the optimal control problem and compute the numerical solution of the optimality system using an iterative method.http://dx.doi.org/10.1155/2014/619035 |
| spellingShingle | Muhammad Altaf Khan Saeed Islam Sher Afzal Khan Ilyas Khan Sharidan Shafie Taza Gul Prevention of Leptospirosis Infected Vector and Human Population by Multiple Control Variables Abstract and Applied Analysis |
| title | Prevention of Leptospirosis Infected Vector and Human Population by Multiple Control Variables |
| title_full | Prevention of Leptospirosis Infected Vector and Human Population by Multiple Control Variables |
| title_fullStr | Prevention of Leptospirosis Infected Vector and Human Population by Multiple Control Variables |
| title_full_unstemmed | Prevention of Leptospirosis Infected Vector and Human Population by Multiple Control Variables |
| title_short | Prevention of Leptospirosis Infected Vector and Human Population by Multiple Control Variables |
| title_sort | prevention of leptospirosis infected vector and human population by multiple control variables |
| url | http://dx.doi.org/10.1155/2014/619035 |
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