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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2015 (2015), Article ID 36

Effect of insecticide spraying on Jatropha curcas plant to control mosaic virus: a mathematical study

Priti Kumar Roy, Xue- Zhi Li, F. Al Basir, A. Datta, J. Chowdhury

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Abstract

Jatropha curcas L. is one of the wonder plant with a variety of applications and economic potentiality. Biodiesel, an alternative fuel from non-edible oil of Jatropha curcas plants, is significantly considered as an alternative fuel to diesel oil as it has the anticipated physicochemical and environment friendly characteristics compared to diesel. To get oil from Jatropha curcas plant quantitatively and qualitatively, proper plantation and protection of this plant, mainly from virus carrying vector (white-fly), is essential. In this research article, an epidemic model is formulated for Jatropha curcas plant, which describes the vector-borne diseases with the aim to control the effect of vectors i.e., white-fly on the spread of mosaic disease. The reliability of the mathematical model is established by sensitivity analysis. Here, spraying of an insecticide (Insecticidal Soap) is considered to prevent vector white-fly in two avenues viz. continuous and impulsive strategy. The objective is to find the suitable and effective method that can serve as an integrating measure to identify and design appropriate plant disease control strategies. Numerical simulations are employed to support the analytical results.

Published
15 December 2015
Volume
2015 (2015)
License
CC BY 3.0

Copyright © 2015 Priti Kumar Roy, Xue- Zhi Li, F. Al Basir, A. Datta, J. Chowdhury. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

P. K. Roy, X. Z. Li, F. A. Basir, A. Datta, J. Chowdhury, Effect of insecticide spraying on Jatropha curcas plant to control mosaic virus: a mathematical study, Commun. Math. Biol. Neurosci. 2015 (2015), 36.

BibTeX
@article{Roy2015,
  author  = {Roy, Priti Kumar and Li, Xue- Zhi and Basir, F. Al and Datta, A. and Chowdhury, J.},
  title   = {Effect of insecticide spraying on Jatropha curcas plant to control mosaic virus: a mathematical study},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2015},
  year    = {2015},
  pages   = {36},
  doi     = {}
}