An Optimal Control Study with Quantity of Additional food as Control in Prey-Predator Systems involving Inhibitory Effect

Additional food provided prey-predator systems have become a significant and important area of study for both theoretical and experimental ecologists. This is mainly because provision of additional food to the predator in the prey-predator systems has proven to facilitate wildlife conservation as we...

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Autores principales:	Ananth V. S., Vamsi D. K. K.
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	prey-predator systems inhibitory effect additional food supplements optimal control problem bang-bang controls pontryagin’s maximum principle 49j30 49k30 92d25 92d40 92d45 Biotechnology TP248.13-248.65 Physics QC1-999
Acceso en línea:	https://doaj.org/article/83c50e95cb3242e89481f93b8f11912d
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spelling	oai:doaj.org-article:83c50e95cb3242e89481f93b8f11912d2021-12-05T14:10:45ZAn Optimal Control Study with Quantity of Additional food as Control in Prey-Predator Systems involving Inhibitory Effect2544-729710.1515/cmb-2020-0121https://doaj.org/article/83c50e95cb3242e89481f93b8f11912d2021-08-01T00:00:00Zhttps://doi.org/10.1515/cmb-2020-0121https://doaj.org/toc/2544-7297Additional food provided prey-predator systems have become a significant and important area of study for both theoretical and experimental ecologists. This is mainly because provision of additional food to the predator in the prey-predator systems has proven to facilitate wildlife conservation as well as reduction of pesticides in agriculture. Further, the mathematical modeling and analysis of these systems provide the eco-manager with various strategies that can be implemented on field to achieve the desired objectives. The outcomes of many theoretical and mathematical studies of such additional food systems have shown that the quality and quantity of additional food play a crucial role in driving the system to the desired state. However, one of the limitations of these studies is that they are asymptotic in nature, where the desired state is reached eventually with time. To overcome these limitations, we present a time optimal control study for an additional food provided prey-predator system involving inhibitory effect with quantity of additional food as the control parameter with the objective of reaching the desired state in finite (minimum) time. The results show that the optimal solution is a bang-bang control with a possibility of multiple switches. Numerical examples illustrate the theoretical findings. These results can be applied to both biological conservation and pest eradication.Ananth V. S.Vamsi D. K. K.De Gruyterarticleprey-predator systemsinhibitory effectadditional food supplementsoptimal control problembang-bang controlspontryagin’s maximum principle49j3049k3092d2592d4092d45BiotechnologyTP248.13-248.65PhysicsQC1-999ENComputational and Mathematical Biophysics, Vol 9, Iss 1, Pp 114-145 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	prey-predator systems inhibitory effect additional food supplements optimal control problem bang-bang controls pontryagin’s maximum principle 49j30 49k30 92d25 92d40 92d45 Biotechnology TP248.13-248.65 Physics QC1-999
spellingShingle	prey-predator systems inhibitory effect additional food supplements optimal control problem bang-bang controls pontryagin’s maximum principle 49j30 49k30 92d25 92d40 92d45 Biotechnology TP248.13-248.65 Physics QC1-999 Ananth V. S. Vamsi D. K. K. An Optimal Control Study with Quantity of Additional food as Control in Prey-Predator Systems involving Inhibitory Effect
description	Additional food provided prey-predator systems have become a significant and important area of study for both theoretical and experimental ecologists. This is mainly because provision of additional food to the predator in the prey-predator systems has proven to facilitate wildlife conservation as well as reduction of pesticides in agriculture. Further, the mathematical modeling and analysis of these systems provide the eco-manager with various strategies that can be implemented on field to achieve the desired objectives. The outcomes of many theoretical and mathematical studies of such additional food systems have shown that the quality and quantity of additional food play a crucial role in driving the system to the desired state. However, one of the limitations of these studies is that they are asymptotic in nature, where the desired state is reached eventually with time. To overcome these limitations, we present a time optimal control study for an additional food provided prey-predator system involving inhibitory effect with quantity of additional food as the control parameter with the objective of reaching the desired state in finite (minimum) time. The results show that the optimal solution is a bang-bang control with a possibility of multiple switches. Numerical examples illustrate the theoretical findings. These results can be applied to both biological conservation and pest eradication.
format	article
author	Ananth V. S. Vamsi D. K. K.
author_facet	Ananth V. S. Vamsi D. K. K.
author_sort	Ananth V. S.
title	An Optimal Control Study with Quantity of Additional food as Control in Prey-Predator Systems involving Inhibitory Effect
title_short	An Optimal Control Study with Quantity of Additional food as Control in Prey-Predator Systems involving Inhibitory Effect
title_full	An Optimal Control Study with Quantity of Additional food as Control in Prey-Predator Systems involving Inhibitory Effect
title_fullStr	An Optimal Control Study with Quantity of Additional food as Control in Prey-Predator Systems involving Inhibitory Effect
title_full_unstemmed	An Optimal Control Study with Quantity of Additional food as Control in Prey-Predator Systems involving Inhibitory Effect
title_sort	optimal control study with quantity of additional food as control in prey-predator systems involving inhibitory effect
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/83c50e95cb3242e89481f93b8f11912d
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An Optimal Control Study with Quantity of Additional food as Control in Prey-Predator Systems involving Inhibitory Effect

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