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

Abstract 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,...

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Auteurs principaux:	M. A. Khan, K. Ali, E. Bonyah, K. O. Okosun, S. Islam, A. Khan
Format:	article
Langue:	EN
Publié:	Nature Portfolio 2017
Sujets:	Medicine R Science Q
Accès en ligne:	https://doaj.org/article/c34112cf49424709a46683b71882a771
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spelling	oai:doaj.org-article:c34112cf49424709a46683b71882a7712021-12-02T12:30:42ZMathematical modeling and stability analysis of Pine Wilt Disease with optimal control10.1038/s41598-017-03179-w2045-2322https://doaj.org/article/c34112cf49424709a46683b71882a7712017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03179-whttps://doaj.org/toc/2045-2322Abstract 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.M. A. KhanK. AliE. BonyahK. O. OkosunS. IslamA. KhanNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-19 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q M. A. Khan K. Ali E. Bonyah K. O. Okosun S. Islam A. Khan Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control
description	Abstract 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.
format	article
author	M. A. Khan K. Ali E. Bonyah K. O. Okosun S. Islam A. Khan
author_facet	M. A. Khan K. Ali E. Bonyah K. O. Okosun S. Islam A. Khan
author_sort	M. A. Khan
title	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_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_sort	mathematical modeling and stability analysis of pine wilt disease with optimal control
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/c34112cf49424709a46683b71882a771
work_keys_str_mv	AT makhan mathematicalmodelingandstabilityanalysisofpinewiltdiseasewithoptimalcontrol AT kali mathematicalmodelingandstabilityanalysisofpinewiltdiseasewithoptimalcontrol AT ebonyah mathematicalmodelingandstabilityanalysisofpinewiltdiseasewithoptimalcontrol AT kookosun mathematicalmodelingandstabilityanalysisofpinewiltdiseasewithoptimalcontrol AT sislam mathematicalmodelingandstabilityanalysisofpinewiltdiseasewithoptimalcontrol AT akhan mathematicalmodelingandstabilityanalysisofpinewiltdiseasewithoptimalcontrol
_version_	1718394359173349376

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

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