A network model for control of dengue epidemic using sterile insect technique
In this paper, a network model has been proposed to control dengue disease transmission considering host-vector dynamics in $n$ patches. The control of mosquitoes is performed by SIT. In SIT, the male insects are sterilized in the laboratory and released into the environment to control the number...
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| Format: | Article |
| Language: | English |
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AIMS Press
2018-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018020 |
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| author | Arti Mishra Benjamin Ambrosio Sunita Gakkhar M. A. Aziz-Alaoui |
| author_facet | Arti Mishra Benjamin Ambrosio Sunita Gakkhar M. A. Aziz-Alaoui |
| author_sort | Arti Mishra |
| collection | DOAJ |
| description | In this paper, a network model has been proposed to control dengue disease transmission considering host-vector dynamics in $n$ patches. The control of mosquitoes is performed by SIT. In SIT, the male insects are sterilized in the laboratory and released into the environment to control the number of offsprings. The basic reproduction number has been computed. The existence and stability of various states have been discussed. The bifurcation diagram has been plotted to show the existence and stability regions of disease-free and endemic states for an isolated patch. The critical level of sterile male mosquitoes has been obtained for the control of disease. The basic reproduction number for $n$ patch network model has been computed. It is evident from numerical simulations that SIT control in one patch may control the disease in the network having two/three patches with suitable coupling among them. |
| format | Article |
| id | doaj-art-2a0f2017fb9e4d25a40345668a5f2794 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-2a0f2017fb9e4d25a40345668a5f27942025-01-24T02:40:44ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-03-0115244146010.3934/mbe.2018020A network model for control of dengue epidemic using sterile insect techniqueArti Mishra0Benjamin Ambrosio1Sunita Gakkhar2M. A. Aziz-Alaoui3Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand 247667, IndiaNormandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, 76600 Le Havre, FranceDepartment of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand 247667, IndiaNormandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, 76600 Le Havre, FranceIn this paper, a network model has been proposed to control dengue disease transmission considering host-vector dynamics in $n$ patches. The control of mosquitoes is performed by SIT. In SIT, the male insects are sterilized in the laboratory and released into the environment to control the number of offsprings. The basic reproduction number has been computed. The existence and stability of various states have been discussed. The bifurcation diagram has been plotted to show the existence and stability regions of disease-free and endemic states for an isolated patch. The critical level of sterile male mosquitoes has been obtained for the control of disease. The basic reproduction number for $n$ patch network model has been computed. It is evident from numerical simulations that SIT control in one patch may control the disease in the network having two/three patches with suitable coupling among them.https://www.aimspress.com/article/doi/10.3934/mbe.2018020denguenetwork modelbasic reproduction numberstabilitysterile insect technique |
| spellingShingle | Arti Mishra Benjamin Ambrosio Sunita Gakkhar M. A. Aziz-Alaoui A network model for control of dengue epidemic using sterile insect technique Mathematical Biosciences and Engineering dengue network model basic reproduction number stability sterile insect technique |
| title | A network model for control of dengue epidemic using sterile insect technique |
| title_full | A network model for control of dengue epidemic using sterile insect technique |
| title_fullStr | A network model for control of dengue epidemic using sterile insect technique |
| title_full_unstemmed | A network model for control of dengue epidemic using sterile insect technique |
| title_short | A network model for control of dengue epidemic using sterile insect technique |
| title_sort | network model for control of dengue epidemic using sterile insect technique |
| topic | dengue network model basic reproduction number stability sterile insect technique |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018020 |
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