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Dynamics in a disease transmission model coupled virus infection in host with incubation delay and environmental effects
In this paper, a disease transmission model coupled virus infection in host with incubation delay and environmental effects is studied. For the virus infection model in host with immune, latent delay and environmental virus invading, the threshold criteria on the global stability of antibody-free an...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9588872/ https://www.ncbi.nlm.nih.gov/pubmed/36311054 http://dx.doi.org/10.1007/s12190-022-01709-y |
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author | Aili, Abulajiang Teng, Zhidong Zhang, Long |
author_facet | Aili, Abulajiang Teng, Zhidong Zhang, Long |
author_sort | Aili, Abulajiang |
collection | PubMed |
description | In this paper, a disease transmission model coupled virus infection in host with incubation delay and environmental effects is studied. For the virus infection model in host with immune, latent delay and environmental virus invading, the threshold criteria on the global stability of antibody-free and antibody response infection equilibria are established. For the disease transmission model with incubation delay and immune response in host, basic reproduction number [Formula: see text] is defined, and the local stability of equilibria are established, i.e., the disease-free equilibrium is locally asymptotically stable if [Formula: see text] , and the endemic equilibrium is locally asymptotically stable if [Formula: see text] . Furthermore, the uniform persistence of positive solutions is studied while there is not the direct transmission of disease by the infected individuals. Finally, the numerical examples are presented to verify the main results. |
format | Online Article Text |
id | pubmed-9588872 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-95888722022-10-24 Dynamics in a disease transmission model coupled virus infection in host with incubation delay and environmental effects Aili, Abulajiang Teng, Zhidong Zhang, Long J Appl Math Comput Original Research In this paper, a disease transmission model coupled virus infection in host with incubation delay and environmental effects is studied. For the virus infection model in host with immune, latent delay and environmental virus invading, the threshold criteria on the global stability of antibody-free and antibody response infection equilibria are established. For the disease transmission model with incubation delay and immune response in host, basic reproduction number [Formula: see text] is defined, and the local stability of equilibria are established, i.e., the disease-free equilibrium is locally asymptotically stable if [Formula: see text] , and the endemic equilibrium is locally asymptotically stable if [Formula: see text] . Furthermore, the uniform persistence of positive solutions is studied while there is not the direct transmission of disease by the infected individuals. Finally, the numerical examples are presented to verify the main results. Springer Berlin Heidelberg 2022-02-09 2022 /pmc/articles/PMC9588872/ /pubmed/36311054 http://dx.doi.org/10.1007/s12190-022-01709-y Text en © The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics 2022 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 | Original Research Aili, Abulajiang Teng, Zhidong Zhang, Long Dynamics in a disease transmission model coupled virus infection in host with incubation delay and environmental effects |
title | Dynamics in a disease transmission model coupled virus infection in host with incubation delay and environmental effects |
title_full | Dynamics in a disease transmission model coupled virus infection in host with incubation delay and environmental effects |
title_fullStr | Dynamics in a disease transmission model coupled virus infection in host with incubation delay and environmental effects |
title_full_unstemmed | Dynamics in a disease transmission model coupled virus infection in host with incubation delay and environmental effects |
title_short | Dynamics in a disease transmission model coupled virus infection in host with incubation delay and environmental effects |
title_sort | dynamics in a disease transmission model coupled virus infection in host with incubation delay and environmental effects |
topic | Original Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9588872/ https://www.ncbi.nlm.nih.gov/pubmed/36311054 http://dx.doi.org/10.1007/s12190-022-01709-y |
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