Effect of Vaccination and Culling on the Dynamics of Rabies Transmission from Stray Dogs to Domestic Dogs

In this paper, the population dynamics of rabies-infected dogs are studied. The mathematical model is constructed by dividing the dog population into two categories: stray dogs and domestic dogs. On the other hand, the rabies virus is likely to spread in both populations. In the current model, disea...

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Main Authors: Demsis Dejene Hailemichael, Geremew Kenassa Edessa, Purnachandra Rao Koya
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2022/2769494
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author Demsis Dejene Hailemichael
Geremew Kenassa Edessa
Purnachandra Rao Koya
author_facet Demsis Dejene Hailemichael
Geremew Kenassa Edessa
Purnachandra Rao Koya
author_sort Demsis Dejene Hailemichael
collection DOAJ
description In this paper, the population dynamics of rabies-infected dogs are studied. The mathematical model is constructed by dividing the dog population into two categories: stray dogs and domestic dogs. On the other hand, the rabies virus is likely to spread in both populations. In the current model, disease-controlling strategies such as vaccination and culling are applied, and their impact is studied. Both subpopulations of susceptible individuals are vaccinated to control disease spread. The current study assumes that stray dogs can transmit rabies to domestic dogs but not the other way around. Because domestic dogs are under the control of their owners, they are well vaccinated. The model is medically and analytically correct because the findings are idealistic and limited. The next-generation matrix technique is used to compute the effective reproductive amount, and also, each parameter is subjected to sensitivity analysis. The equilibrium point free from disease is discovered, demonstrating that it was asymptotically steady locally and globally. A conditionally global asymptotically stable point of endemic equilibrium is also discovered using the Lyapunov function method. The numerical simulation, which makes use of approximations for parameter values, shows that the most efficient method for avoiding rabies transmission is a combination of vaccination and the culling of infected stray dogs. Using MATLAB’s ode45, this numerical simulation investigation was carried out. Our early findings indicated that the annual dog birth rate is a critical factor in influencing the occurrence of rabies. In the body of the paper, the findings and discussion are organized logically.
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institution Kabale University
issn 1687-0042
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-832be825f2064a7faa12c63c097800442025-02-03T06:00:26ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/2769494Effect of Vaccination and Culling on the Dynamics of Rabies Transmission from Stray Dogs to Domestic DogsDemsis Dejene Hailemichael0Geremew Kenassa Edessa1Purnachandra Rao Koya2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, the population dynamics of rabies-infected dogs are studied. The mathematical model is constructed by dividing the dog population into two categories: stray dogs and domestic dogs. On the other hand, the rabies virus is likely to spread in both populations. In the current model, disease-controlling strategies such as vaccination and culling are applied, and their impact is studied. Both subpopulations of susceptible individuals are vaccinated to control disease spread. The current study assumes that stray dogs can transmit rabies to domestic dogs but not the other way around. Because domestic dogs are under the control of their owners, they are well vaccinated. The model is medically and analytically correct because the findings are idealistic and limited. The next-generation matrix technique is used to compute the effective reproductive amount, and also, each parameter is subjected to sensitivity analysis. The equilibrium point free from disease is discovered, demonstrating that it was asymptotically steady locally and globally. A conditionally global asymptotically stable point of endemic equilibrium is also discovered using the Lyapunov function method. The numerical simulation, which makes use of approximations for parameter values, shows that the most efficient method for avoiding rabies transmission is a combination of vaccination and the culling of infected stray dogs. Using MATLAB’s ode45, this numerical simulation investigation was carried out. Our early findings indicated that the annual dog birth rate is a critical factor in influencing the occurrence of rabies. In the body of the paper, the findings and discussion are organized logically.http://dx.doi.org/10.1155/2022/2769494
spellingShingle Demsis Dejene Hailemichael
Geremew Kenassa Edessa
Purnachandra Rao Koya
Effect of Vaccination and Culling on the Dynamics of Rabies Transmission from Stray Dogs to Domestic Dogs
Journal of Applied Mathematics
title Effect of Vaccination and Culling on the Dynamics of Rabies Transmission from Stray Dogs to Domestic Dogs
title_full Effect of Vaccination and Culling on the Dynamics of Rabies Transmission from Stray Dogs to Domestic Dogs
title_fullStr Effect of Vaccination and Culling on the Dynamics of Rabies Transmission from Stray Dogs to Domestic Dogs
title_full_unstemmed Effect of Vaccination and Culling on the Dynamics of Rabies Transmission from Stray Dogs to Domestic Dogs
title_short Effect of Vaccination and Culling on the Dynamics of Rabies Transmission from Stray Dogs to Domestic Dogs
title_sort effect of vaccination and culling on the dynamics of rabies transmission from stray dogs to domestic dogs
url http://dx.doi.org/10.1155/2022/2769494
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AT purnachandraraokoya effectofvaccinationandcullingonthedynamicsofrabiestransmissionfromstraydogstodomesticdogs