Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks

Near-optimization is as sensible and important as optimization for both theory and applications. This paper concerns the near-optimal control of an avian influenza model with saturation on heterogeneous complex networks. Firstly, the basic reproduction number $ \mathcal{R}_{0} $ is defined for the m...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Keguo Ren, Xining Li, Qimin Zhang
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	complex networks avian influenza model spatial diffusion near-optimal control basic reproduction number Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/6d857850d9e44218933cf69a90976349
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:6d857850d9e44218933cf69a90976349
record_format	dspace
spelling	oai:doaj.org-article:6d857850d9e44218933cf69a909763492021-11-11T01:30:51ZNear-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks10.3934/mbe.20213211551-0018https://doaj.org/article/6d857850d9e44218933cf69a909763492021-07-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021321?viewType=HTMLhttps://doaj.org/toc/1551-0018Near-optimization is as sensible and important as optimization for both theory and applications. This paper concerns the near-optimal control of an avian influenza model with saturation on heterogeneous complex networks. Firstly, the basic reproduction number $ \mathcal{R}_{0} $ is defined for the model, which can be used to govern the threshold dynamics of influenza disease. Secondly, the near-optimal control problem was formulated by slaughtering poultry and treating infected humans while keeping the loss and cost to a minimum. Thanks to the maximum condition of the Hamiltonian function and the Ekeland's variational principle, we establish both necessary and sufficient conditions for the near-optimality by several delicate estimates for the state and adjoint processes. Finally, a number of examples presented to illustrate our theoretical results.Keguo Ren Xining LiQimin Zhang AIMS Pressarticlecomplex networksavian influenza modelspatial diffusionnear-optimal controlbasic reproduction numberBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 6452-6483 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	complex networks avian influenza model spatial diffusion near-optimal control basic reproduction number Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	complex networks avian influenza model spatial diffusion near-optimal control basic reproduction number Biotechnology TP248.13-248.65 Mathematics QA1-939 Keguo Ren Xining Li Qimin Zhang Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks
description	Near-optimization is as sensible and important as optimization for both theory and applications. This paper concerns the near-optimal control of an avian influenza model with saturation on heterogeneous complex networks. Firstly, the basic reproduction number $ \mathcal{R}_{0} $ is defined for the model, which can be used to govern the threshold dynamics of influenza disease. Secondly, the near-optimal control problem was formulated by slaughtering poultry and treating infected humans while keeping the loss and cost to a minimum. Thanks to the maximum condition of the Hamiltonian function and the Ekeland's variational principle, we establish both necessary and sufficient conditions for the near-optimality by several delicate estimates for the state and adjoint processes. Finally, a number of examples presented to illustrate our theoretical results.
format	article
author	Keguo Ren Xining Li Qimin Zhang
author_facet	Keguo Ren Xining Li Qimin Zhang
author_sort	Keguo Ren
title	Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks
title_short	Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks
title_full	Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks
title_fullStr	Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks
title_full_unstemmed	Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks
title_sort	near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/6d857850d9e44218933cf69a90976349
work_keys_str_mv	AT keguoren nearoptimalcontrolandthresholdbehaviorofanavianinfluenzamodelwithspatialdiffusiononcomplexnetworks AT xiningli nearoptimalcontrolandthresholdbehaviorofanavianinfluenzamodelwithspatialdiffusiononcomplexnetworks AT qiminzhang nearoptimalcontrolandthresholdbehaviorofanavianinfluenzamodelwithspatialdiffusiononcomplexnetworks
_version_	1718439593353674752

Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks

Ejemplares similares