Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control

This paper presents and examine a mathematical system of equations which describes the dynamics of pine wilt disease (PWD). Firstly, we examine the model with constant controls. Here, we investigate the disease equilibria and calculate the basic reproduction number of the disease. Secondly, we incor...

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Autores principales: Khan, M. A., Ali, K., Bonyah, E., Okosun, K. O., Islam, S., Khan, A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5465188/
https://www.ncbi.nlm.nih.gov/pubmed/28596525
http://dx.doi.org/10.1038/s41598-017-03179-w
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author Khan, M. A.
Ali, K.
Bonyah, E.
Okosun, K. O.
Islam, S.
Khan, A.
author_facet Khan, M. A.
Ali, K.
Bonyah, E.
Okosun, K. O.
Islam, S.
Khan, A.
author_sort Khan, M. A.
collection PubMed
description This paper presents and examine a mathematical system of equations which describes the dynamics of pine wilt disease (PWD). Firstly, we examine the model with constant controls. Here, we investigate the disease equilibria and calculate the basic reproduction number of the disease. Secondly, we incorporate time dependent controls into the model and then analyze the conditions that are necessary for the disease to be controlled optimally. Finally, the numerical results for the model are presented.
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spelling pubmed-54651882017-06-14 Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control Khan, M. A. Ali, K. Bonyah, E. Okosun, K. O. Islam, S. Khan, A. Sci Rep Article This paper presents and examine a mathematical system of equations which describes the dynamics of pine wilt disease (PWD). Firstly, we examine the model with constant controls. Here, we investigate the disease equilibria and calculate the basic reproduction number of the disease. Secondly, we incorporate time dependent controls into the model and then analyze the conditions that are necessary for the disease to be controlled optimally. Finally, the numerical results for the model are presented. Nature Publishing Group UK 2017-06-08 /pmc/articles/PMC5465188/ /pubmed/28596525 http://dx.doi.org/10.1038/s41598-017-03179-w Text en © The Author(s) 2017 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Khan, M. A.
Ali, K.
Bonyah, E.
Okosun, K. O.
Islam, S.
Khan, A.
Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control
title Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control
title_full Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control
title_fullStr Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control
title_full_unstemmed Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control
title_short Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control
title_sort mathematical modeling and stability analysis of pine wilt disease with optimal control
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5465188/
https://www.ncbi.nlm.nih.gov/pubmed/28596525
http://dx.doi.org/10.1038/s41598-017-03179-w
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