Modeling the effects of insecticides and external efforts on crop production

In this paper a nonlinear mathematical model is proposed and analyzed to understand the effects of insects, insecticides and external efforts on the agricultural crop productions. In the modeling process, we have assumed that crops grow logistically and decrease due to insects, which are wholly dep...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	A.K. Misra, Rahul Patel, Navnit Jha
Formato:	article
Lenguaje:	EN
Publicado:	Vilnius University Press 2021
Materias:	mathematical model crop production external efforts stability Hopf bifurcation Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/cd17e7f63e964fa1a89e0c1edbf60509
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:cd17e7f63e964fa1a89e0c1edbf60509
record_format	dspace
spelling	oai:doaj.org-article:cd17e7f63e964fa1a89e0c1edbf605092021-12-02T19:40:39ZModeling the effects of insecticides and external efforts on crop production10.15388/namc.2021.26.244421392-51132335-8963https://doaj.org/article/cd17e7f63e964fa1a89e0c1edbf605092021-11-01T00:00:00Zhttps://www.journals.vu.lt/nonlinear-analysis/article/view/24442https://doaj.org/toc/1392-5113https://doaj.org/toc/2335-8963 In this paper a nonlinear mathematical model is proposed and analyzed to understand the effects of insects, insecticides and external efforts on the agricultural crop productions. In the modeling process, we have assumed that crops grow logistically and decrease due to insects, which are wholly dependent on crops. Insecticides and external efforts are applied to control the insect population and enhance the crop production, respectively. The external efforts affect the intrinsic growth rate and carrying capacity of crop production. The feasibility of equilibria and their stability properties are discussed. We have identified the key parameters for the formulation of effective control strategies necessary to combat the insect population and increase the crop production using the approach of global sensitivity analysis. Numerical simulation is performed, which supports the analytical findings. It is shown that periodic oscillations arise through Hopf bifurcation as spraying rate of insecticides decreases. Our findings suggest that to gain the desired crop production, the rate of spraying and the quality of insecticides with proper use of external efforts are much important. A.K. MisraRahul PatelNavnit JhaVilnius University Pressarticlemathematical modelcrop productionexternal effortsstabilityHopf bifurcationAnalysisQA299.6-433ENNonlinear Analysis, Vol 26, Iss 6 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	mathematical model crop production external efforts stability Hopf bifurcation Analysis QA299.6-433
spellingShingle	mathematical model crop production external efforts stability Hopf bifurcation Analysis QA299.6-433 A.K. Misra Rahul Patel Navnit Jha Modeling the effects of insecticides and external efforts on crop production
description	In this paper a nonlinear mathematical model is proposed and analyzed to understand the effects of insects, insecticides and external efforts on the agricultural crop productions. In the modeling process, we have assumed that crops grow logistically and decrease due to insects, which are wholly dependent on crops. Insecticides and external efforts are applied to control the insect population and enhance the crop production, respectively. The external efforts affect the intrinsic growth rate and carrying capacity of crop production. The feasibility of equilibria and their stability properties are discussed. We have identified the key parameters for the formulation of effective control strategies necessary to combat the insect population and increase the crop production using the approach of global sensitivity analysis. Numerical simulation is performed, which supports the analytical findings. It is shown that periodic oscillations arise through Hopf bifurcation as spraying rate of insecticides decreases. Our findings suggest that to gain the desired crop production, the rate of spraying and the quality of insecticides with proper use of external efforts are much important.
format	article
author	A.K. Misra Rahul Patel Navnit Jha
author_facet	A.K. Misra Rahul Patel Navnit Jha
author_sort	A.K. Misra
title	Modeling the effects of insecticides and external efforts on crop production
title_short	Modeling the effects of insecticides and external efforts on crop production
title_full	Modeling the effects of insecticides and external efforts on crop production
title_fullStr	Modeling the effects of insecticides and external efforts on crop production
title_full_unstemmed	Modeling the effects of insecticides and external efforts on crop production
title_sort	modeling the effects of insecticides and external efforts on crop production
publisher	Vilnius University Press
publishDate	2021
url	https://doaj.org/article/cd17e7f63e964fa1a89e0c1edbf60509
work_keys_str_mv	AT akmisra modelingtheeffectsofinsecticidesandexternaleffortsoncropproduction AT rahulpatel modelingtheeffectsofinsecticidesandexternaleffortsoncropproduction AT navnitjha modelingtheeffectsofinsecticidesandexternaleffortsoncropproduction
_version_	1718376230763364352

Modeling the effects of insecticides and external efforts on crop production

Ejemplares similares