A compartmental model for the transmission dynamics of rabies disease in dog population
Dogs are the main source of more than 90% of human rabies infections that pose a significant threat to public health, primarily in Africa and Asia. However, it is also one of the viral diseases that can be prevented by vaccination that affects both warm-blooded animals and humans. There are two type...
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Penerbit Universiti Kebangsaan Malaysia
2024
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| Online Access: | http://journalarticle.ukm.my/24982/1/SD%2023.pdf http://journalarticle.ukm.my/24982/ https://www.ukm.my/jsm/english_journals/vol53num12_2024/contentsVol53num12_2024.html |
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| author | Thanisha Kaliapan, Chong, Nyuk Sian Ilyani Abdullah, Zabidin Salleh, Jane Labadin, |
| author_facet | Thanisha Kaliapan, Chong, Nyuk Sian Ilyani Abdullah, Zabidin Salleh, Jane Labadin, |
| author_sort | Thanisha Kaliapan, |
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| content_source | UKM Journal Article Repository |
| continent | Asia |
| country | Malaysia |
| description | Dogs are the main source of more than 90% of human rabies infections that pose a significant threat to public health, primarily in Africa and Asia. However, it is also one of the viral diseases that can be prevented by vaccination that affects both warm-blooded animals and humans. There are two types of rabies vaccines: pre-exposure prophylaxis and post-exposure prophylaxis (PEP). Mathematical models can be valuable tools for predicting and controlling the spread of rabies disease. Thus, we introduce an SEIV (Susceptible-Exposed-Infected-Vaccinated) model incorporate vaccination control strategy to examine the transmission dynamics of rabies disease in dog population. The basic reproduction number, , positively invariant and attracting region, steady states, and the stability analysis of the model are investigated. We find that there are two equilibria exist in the model, i.e., disease-free and endemic equilibria. To prove the global stability of disease-free and endemic equilibria, the theory of asymptotic autonomous system and geometric approach have been applied, respectively. Hence, we find that the disease-free and endemic equilibria are globally asymptotically stable if Ro < 1 and , Ro < 1 respectively. Numerical simulations are performed to depict the dynamics of the model. As a conclusion, we will be able to control the disease effectively if the vaccination rate is sufficiently large. |
| format | Article |
| id | my-ukm.journal.24982 |
| institution | Universiti Kebangsaan Malaysia |
| language | en |
| publishDate | 2024 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | eprints |
| spelling | my-ukm.journal.249822025-03-19T07:29:42Z http://journalarticle.ukm.my/24982/ A compartmental model for the transmission dynamics of rabies disease in dog population Thanisha Kaliapan, Chong, Nyuk Sian Ilyani Abdullah, Zabidin Salleh, Jane Labadin, Dogs are the main source of more than 90% of human rabies infections that pose a significant threat to public health, primarily in Africa and Asia. However, it is also one of the viral diseases that can be prevented by vaccination that affects both warm-blooded animals and humans. There are two types of rabies vaccines: pre-exposure prophylaxis and post-exposure prophylaxis (PEP). Mathematical models can be valuable tools for predicting and controlling the spread of rabies disease. Thus, we introduce an SEIV (Susceptible-Exposed-Infected-Vaccinated) model incorporate vaccination control strategy to examine the transmission dynamics of rabies disease in dog population. The basic reproduction number, , positively invariant and attracting region, steady states, and the stability analysis of the model are investigated. We find that there are two equilibria exist in the model, i.e., disease-free and endemic equilibria. To prove the global stability of disease-free and endemic equilibria, the theory of asymptotic autonomous system and geometric approach have been applied, respectively. Hence, we find that the disease-free and endemic equilibria are globally asymptotically stable if Ro < 1 and , Ro < 1 respectively. Numerical simulations are performed to depict the dynamics of the model. As a conclusion, we will be able to control the disease effectively if the vaccination rate is sufficiently large. Penerbit Universiti Kebangsaan Malaysia 2024 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/24982/1/SD%2023.pdf Thanisha Kaliapan, and Chong, Nyuk Sian and Ilyani Abdullah, and Zabidin Salleh, and Jane Labadin, (2024) A compartmental model for the transmission dynamics of rabies disease in dog population. Sains Malaysiana, 53 (12). pp. 3425-3435. ISSN 0126-6039 https://www.ukm.my/jsm/english_journals/vol53num12_2024/contentsVol53num12_2024.html |
| spellingShingle | Thanisha Kaliapan, Chong, Nyuk Sian Ilyani Abdullah, Zabidin Salleh, Jane Labadin, A compartmental model for the transmission dynamics of rabies disease in dog population |
| title | A compartmental model for the transmission dynamics of rabies disease in dog population |
| title_full | A compartmental model for the transmission dynamics of rabies disease in dog population |
| title_fullStr | A compartmental model for the transmission dynamics of rabies disease in dog population |
| title_full_unstemmed | A compartmental model for the transmission dynamics of rabies disease in dog population |
| title_short | A compartmental model for the transmission dynamics of rabies disease in dog population |
| title_sort | compartmental model for the transmission dynamics of rabies disease in dog population |
| url | http://journalarticle.ukm.my/24982/1/SD%2023.pdf http://journalarticle.ukm.my/24982/ https://www.ukm.my/jsm/english_journals/vol53num12_2024/contentsVol53num12_2024.html |
| url_provider | http://journalarticle.ukm.my/ |