A Mathematical Model for Nipah Virus Infection
It has been reported that unprotected contact with the dead bodies of infected individuals is a plausible way of Nipah virus transmission. An SIRD model is proposed in this paper to investigate the impact of unprotected contact with dead bodies of infected individuals before burial or cremation and...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6050834 |
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| author | Assefa Denekew Zewdie Sunita Gakkhar |
| author_facet | Assefa Denekew Zewdie Sunita Gakkhar |
| author_sort | Assefa Denekew Zewdie |
| collection | DOAJ |
| description | It has been reported that unprotected contact with the dead bodies of infected individuals is a plausible way of Nipah virus transmission. An SIRD model is proposed in this paper to investigate the impact of unprotected contact with dead bodies of infected individuals before burial or cremation and their disposal rate on the dynamics of Nipah virus infection. The model is analyzed, and the reproduction number is computed. It is established that the disease-free state is globally asymptotically stable when the reproduction number is less than unity and unstable if it is greater than unity. By using the central manifold theory, we observe that the endemic equilibrium is locally stable near to unity. It is concluded that minimizing unsafe contact with the infected dead body and/or burial or cremation as fast as possible contributes positively. Further, the numerical simulations for the given choice of data and initial conditions illustrate that the endemic state is stable and the disease persists in the community when the reproduction number is greater than one. |
| format | Article |
| id | doaj-art-7b8c99afe4b9496fb428bc71a93ff0bf |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7b8c99afe4b9496fb428bc71a93ff0bf2025-02-03T06:46:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422020-01-01202010.1155/2020/60508346050834A Mathematical Model for Nipah Virus InfectionAssefa Denekew Zewdie0Sunita Gakkhar1Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667 Uttarakhand, IndiaDepartment of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667 Uttarakhand, IndiaIt has been reported that unprotected contact with the dead bodies of infected individuals is a plausible way of Nipah virus transmission. An SIRD model is proposed in this paper to investigate the impact of unprotected contact with dead bodies of infected individuals before burial or cremation and their disposal rate on the dynamics of Nipah virus infection. The model is analyzed, and the reproduction number is computed. It is established that the disease-free state is globally asymptotically stable when the reproduction number is less than unity and unstable if it is greater than unity. By using the central manifold theory, we observe that the endemic equilibrium is locally stable near to unity. It is concluded that minimizing unsafe contact with the infected dead body and/or burial or cremation as fast as possible contributes positively. Further, the numerical simulations for the given choice of data and initial conditions illustrate that the endemic state is stable and the disease persists in the community when the reproduction number is greater than one.http://dx.doi.org/10.1155/2020/6050834 |
| spellingShingle | Assefa Denekew Zewdie Sunita Gakkhar A Mathematical Model for Nipah Virus Infection Journal of Applied Mathematics |
| title | A Mathematical Model for Nipah Virus Infection |
| title_full | A Mathematical Model for Nipah Virus Infection |
| title_fullStr | A Mathematical Model for Nipah Virus Infection |
| title_full_unstemmed | A Mathematical Model for Nipah Virus Infection |
| title_short | A Mathematical Model for Nipah Virus Infection |
| title_sort | mathematical model for nipah virus infection |
| url | http://dx.doi.org/10.1155/2020/6050834 |
| work_keys_str_mv | AT assefadenekewzewdie amathematicalmodelfornipahvirusinfection AT sunitagakkhar amathematicalmodelfornipahvirusinfection AT assefadenekewzewdie mathematicalmodelfornipahvirusinfection AT sunitagakkhar mathematicalmodelfornipahvirusinfection |