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Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives

The world of uncertainty motivates the study of stochastic perturbation in the mathematical models of real life. The main objective of this paper is to study stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives. We have shown that the proposed stochastic epidemic...

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Detalles Bibliográficos
Autores principales: Rathinasamy, A., Chinnadurai, M., Athithan, S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7443164/
https://www.ncbi.nlm.nih.gov/pubmed/32863550
http://dx.doi.org/10.1016/j.matcom.2020.08.017
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author Rathinasamy, A.
Chinnadurai, M.
Athithan, S.
author_facet Rathinasamy, A.
Chinnadurai, M.
Athithan, S.
author_sort Rathinasamy, A.
collection PubMed
description The world of uncertainty motivates the study of stochastic perturbation in the mathematical models of real life. The main objective of this paper is to study stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives. We have shown that the proposed stochastic epidemic model with boundedness and permanence has a unique global positive solution. The selection of suitable Lyapunov functions provides sufficient conditions for investigating persistence and extinction of disease. Based on numerical experiments, the theoretical findings of this paper have been verified.
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spelling pubmed-74431642020-08-24 Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives Rathinasamy, A. Chinnadurai, M. Athithan, S. Math Comput Simul Article The world of uncertainty motivates the study of stochastic perturbation in the mathematical models of real life. The main objective of this paper is to study stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives. We have shown that the proposed stochastic epidemic model with boundedness and permanence has a unique global positive solution. The selection of suitable Lyapunov functions provides sufficient conditions for investigating persistence and extinction of disease. Based on numerical experiments, the theoretical findings of this paper have been verified. International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. 2021-01 2020-08-22 /pmc/articles/PMC7443164/ /pubmed/32863550 http://dx.doi.org/10.1016/j.matcom.2020.08.017 Text en © 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Rathinasamy, A.
Chinnadurai, M.
Athithan, S.
Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives
title Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives
title_full Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives
title_fullStr Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives
title_full_unstemmed Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives
title_short Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives
title_sort analysis of exact solution of stochastic sex-structured hiv/aids epidemic model with effect of screening of infectives
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7443164/
https://www.ncbi.nlm.nih.gov/pubmed/32863550
http://dx.doi.org/10.1016/j.matcom.2020.08.017
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