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
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Official URL: https://www.ukm.my/jsm/english_journals/vol53num12...
Abstract
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.
Item Type: | Article |
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Keywords: | Nonlinear ordinary differential equation; Numerical simulation; Rabies disease; Stability analysis; Steady state |
Journal: | Sains Malaysiana |
ID Code: | 24982 |
Deposited By: | Siti Zarenah Jasin |
Deposited On: | 17 Mar 2025 07:28 |
Last Modified: | 19 Mar 2025 07:29 |
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