Farming awareness based optimum interventions for crop pest control

We develop a mathematical model, based on a system of ordinary differential equations, to the upshot of farming alertness in crop pest administration, bearing in mind plant biomass, pest, and level of control. Main qualitative analysis of the proposed mathematical model, akin to both pest-free and c...

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Autores principales:	Teklebirhan Abraha, Fahad Al Basir, Legesse Lemecha Obsu, Delfim F. M. Torres
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	mathematical modeling of ecological systems holling type-ii functional response stability hopf-bifurcation optimal control pontryagin's minimum principle numerical simulations Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/dd76dd8a0e7f4ab28a670877d326daef
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spelling	oai:doaj.org-article:dd76dd8a0e7f4ab28a670877d326daef2021-11-09T02:08:19ZFarming awareness based optimum interventions for crop pest control10.3934/mbe.20212721551-0018https://doaj.org/article/dd76dd8a0e7f4ab28a670877d326daef2021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021272?viewType=HTMLhttps://doaj.org/toc/1551-0018We develop a mathematical model, based on a system of ordinary differential equations, to the upshot of farming alertness in crop pest administration, bearing in mind plant biomass, pest, and level of control. Main qualitative analysis of the proposed mathematical model, akin to both pest-free and coexistence equilibrium points and stability analysis, is investigated. We show that all solutions of the model are positive and bounded with initial conditions in a certain significant set. The local stability of pest-free and coexistence equilibria is shown using the Routh–Hurwitz criterion. Moreover, we prove that when a threshold value is less than one, then the pest-free equilibrium is locally asymptotically stable. To get optimum interventions for crop pests, that is, to decrease the number of pests in the crop field, we apply optimal control theory and find the corresponding optimal controls. We establish existence of optimal controls and characterize them using Pontryagin's minimum principle. Finally, we make use of numerical simulations to illustrate the theoretical analysis of the proposed model, with and without control measures.Teklebirhan AbrahaFahad Al BasirLegesse Lemecha ObsuDelfim F. M. TorresAIMS Pressarticlemathematical modeling of ecological systemsholling type-ii functional responsestabilityhopf-bifurcationoptimal controlpontryagin's minimum principlenumerical simulationsBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5364-5391 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	mathematical modeling of ecological systems holling type-ii functional response stability hopf-bifurcation optimal control pontryagin's minimum principle numerical simulations Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	mathematical modeling of ecological systems holling type-ii functional response stability hopf-bifurcation optimal control pontryagin's minimum principle numerical simulations Biotechnology TP248.13-248.65 Mathematics QA1-939 Teklebirhan Abraha Fahad Al Basir Legesse Lemecha Obsu Delfim F. M. Torres Farming awareness based optimum interventions for crop pest control
description	We develop a mathematical model, based on a system of ordinary differential equations, to the upshot of farming alertness in crop pest administration, bearing in mind plant biomass, pest, and level of control. Main qualitative analysis of the proposed mathematical model, akin to both pest-free and coexistence equilibrium points and stability analysis, is investigated. We show that all solutions of the model are positive and bounded with initial conditions in a certain significant set. The local stability of pest-free and coexistence equilibria is shown using the Routh–Hurwitz criterion. Moreover, we prove that when a threshold value is less than one, then the pest-free equilibrium is locally asymptotically stable. To get optimum interventions for crop pests, that is, to decrease the number of pests in the crop field, we apply optimal control theory and find the corresponding optimal controls. We establish existence of optimal controls and characterize them using Pontryagin's minimum principle. Finally, we make use of numerical simulations to illustrate the theoretical analysis of the proposed model, with and without control measures.
format	article
author	Teklebirhan Abraha Fahad Al Basir Legesse Lemecha Obsu Delfim F. M. Torres
author_facet	Teklebirhan Abraha Fahad Al Basir Legesse Lemecha Obsu Delfim F. M. Torres
author_sort	Teklebirhan Abraha
title	Farming awareness based optimum interventions for crop pest control
title_short	Farming awareness based optimum interventions for crop pest control
title_full	Farming awareness based optimum interventions for crop pest control
title_fullStr	Farming awareness based optimum interventions for crop pest control
title_full_unstemmed	Farming awareness based optimum interventions for crop pest control
title_sort	farming awareness based optimum interventions for crop pest control
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/dd76dd8a0e7f4ab28a670877d326daef
work_keys_str_mv	AT teklebirhanabraha farmingawarenessbasedoptimuminterventionsforcroppestcontrol AT fahadalbasir farmingawarenessbasedoptimuminterventionsforcroppestcontrol AT legesselemechaobsu farmingawarenessbasedoptimuminterventionsforcroppestcontrol AT delfimfmtorres farmingawarenessbasedoptimuminterventionsforcroppestcontrol
_version_	1718441430287908864

Farming awareness based optimum interventions for crop pest control

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