Mathematical Analysis of Rabies Infection
A mathematical model is proposed to study the dynamics of the transmission of rabies, incorporating predation of dogs by humans. The model is shown to have a unique disease-free equilibrium which is globally asymptotically stable whenever ℛ0≤1. Local sensitivity analysis suggests that the disease ca...
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| Main Authors: | , , |
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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/10.1155/2020/1804270 |
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| _version_ | 1832568635237859328 |
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| author | C. S. Bornaa Baba Seidu M. I. Daabo |
| author_facet | C. S. Bornaa Baba Seidu M. I. Daabo |
| author_sort | C. S. Bornaa |
| collection | DOAJ |
| description | A mathematical model is proposed to study the dynamics of the transmission of rabies, incorporating predation of dogs by humans. The model is shown to have a unique disease-free equilibrium which is globally asymptotically stable whenever ℛ0≤1. Local sensitivity analysis suggests that the disease can be controlled through reducing contact with infected dogs, increasing immunization of dogs, screening recruited dogs, culling of infected dogs, and use of dog meat as a delicacy. |
| format | Article |
| id | doaj-art-50ad6038cbc44d80b40e26ca823163bf |
| 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-50ad6038cbc44d80b40e26ca823163bf2025-02-03T00:58:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422020-01-01202010.1155/2020/18042701804270Mathematical Analysis of Rabies InfectionC. S. Bornaa0Baba Seidu1M. I. Daabo2Department of Science and Mathematics Education, Faculty of Education, University for Development Studies, Navrongo Campus, Tamale, GhanaDepartment of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, Navrongo Campus, Tamale, GhanaDepartment of Computer Science, Faculty of Mathematical Sciences, University for Development Studies, Navrongo Campus, Tamale, GhanaA mathematical model is proposed to study the dynamics of the transmission of rabies, incorporating predation of dogs by humans. The model is shown to have a unique disease-free equilibrium which is globally asymptotically stable whenever ℛ0≤1. Local sensitivity analysis suggests that the disease can be controlled through reducing contact with infected dogs, increasing immunization of dogs, screening recruited dogs, culling of infected dogs, and use of dog meat as a delicacy.http://dx.doi.org/10.1155/2020/1804270 |
| spellingShingle | C. S. Bornaa Baba Seidu M. I. Daabo Mathematical Analysis of Rabies Infection Journal of Applied Mathematics |
| title | Mathematical Analysis of Rabies Infection |
| title_full | Mathematical Analysis of Rabies Infection |
| title_fullStr | Mathematical Analysis of Rabies Infection |
| title_full_unstemmed | Mathematical Analysis of Rabies Infection |
| title_short | Mathematical Analysis of Rabies Infection |
| title_sort | mathematical analysis of rabies infection |
| url | http://dx.doi.org/10.1155/2020/1804270 |
| work_keys_str_mv | AT csbornaa mathematicalanalysisofrabiesinfection AT babaseidu mathematicalanalysisofrabiesinfection AT midaabo mathematicalanalysisofrabiesinfection |