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Analysis of time delayed Rabies model in human and dog populations with controls

Rabies is a fatal zoonotic disease caused by a virus through bites or saliva of an infected animal. Dogs are the main reservoir of rabies and responsible for most cases in humans worldwide. In this article, a delay differential equations model for assessing the effects of controls and time delay as...

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Autores principales: Abdulmajid, Shafiu, Hassan, Adamu Shitu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7862050/
http://dx.doi.org/10.1007/s13370-021-00882-w
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author Abdulmajid, Shafiu
Hassan, Adamu Shitu
author_facet Abdulmajid, Shafiu
Hassan, Adamu Shitu
author_sort Abdulmajid, Shafiu
collection PubMed
description Rabies is a fatal zoonotic disease caused by a virus through bites or saliva of an infected animal. Dogs are the main reservoir of rabies and responsible for most cases in humans worldwide. In this article, a delay differential equations model for assessing the effects of controls and time delay as incubation period on the transmission dynamics of rabies in human and dog populations is formulated and analyzed. Analysis from the model show that there is a locally and globally asymptotic stable disease-free equilibrium whenever a certain epidemiological threshold, the control reproduction number [Formula: see text] , is less than unity. Furthermore, the model has a unique endemic equilibrium when [Formula: see text] exceed unity which is also locally and globally asymptotically stable for all delays. Time delay is found to have influence on the endemicity of rabies. Vaccination of humans and dogs coupled with annual crop of puppies are imposed to curtail the spread of rabies in the populations. Sensitivity analysis on the number of infected humans and dogs revealed that increasing dog vaccination rate and decreasing annual birth of puppies are more effective in human populations. However in dog populations, the vaccination and birth control of puppies, have equal effective measures for rabies control. Numerical experiments are conducted to illustrate the theoretical results and control strategies.
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spelling pubmed-78620502021-02-05 Analysis of time delayed Rabies model in human and dog populations with controls Abdulmajid, Shafiu Hassan, Adamu Shitu Afr. Mat. Article Rabies is a fatal zoonotic disease caused by a virus through bites or saliva of an infected animal. Dogs are the main reservoir of rabies and responsible for most cases in humans worldwide. In this article, a delay differential equations model for assessing the effects of controls and time delay as incubation period on the transmission dynamics of rabies in human and dog populations is formulated and analyzed. Analysis from the model show that there is a locally and globally asymptotic stable disease-free equilibrium whenever a certain epidemiological threshold, the control reproduction number [Formula: see text] , is less than unity. Furthermore, the model has a unique endemic equilibrium when [Formula: see text] exceed unity which is also locally and globally asymptotically stable for all delays. Time delay is found to have influence on the endemicity of rabies. Vaccination of humans and dogs coupled with annual crop of puppies are imposed to curtail the spread of rabies in the populations. Sensitivity analysis on the number of infected humans and dogs revealed that increasing dog vaccination rate and decreasing annual birth of puppies are more effective in human populations. However in dog populations, the vaccination and birth control of puppies, have equal effective measures for rabies control. Numerical experiments are conducted to illustrate the theoretical results and control strategies. Springer Berlin Heidelberg 2021-02-05 2021 /pmc/articles/PMC7862050/ http://dx.doi.org/10.1007/s13370-021-00882-w Text en © African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Abdulmajid, Shafiu
Hassan, Adamu Shitu
Analysis of time delayed Rabies model in human and dog populations with controls
title Analysis of time delayed Rabies model in human and dog populations with controls
title_full Analysis of time delayed Rabies model in human and dog populations with controls
title_fullStr Analysis of time delayed Rabies model in human and dog populations with controls
title_full_unstemmed Analysis of time delayed Rabies model in human and dog populations with controls
title_short Analysis of time delayed Rabies model in human and dog populations with controls
title_sort analysis of time delayed rabies model in human and dog populations with controls
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7862050/
http://dx.doi.org/10.1007/s13370-021-00882-w
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