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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 58

A discrete mathematical modeling and optimal control of diseases caused by Fusarium Oxysporum

Y. Baala, M. Rachik

PDF (314.1 KB) https://doi.org/10.28919/cmbn/7372

Abstract

Fusarium Oxysporum is a pathogenic plant causes two distinct types of symptoms: vascular wilts and root and crown rots. A wide variety of plants can be affected by Fusarium wilt caused by Fusarium Oxysporum. In this work, we propose a discrete mathematical model that describes the diseases caused by Fusarium Oxysporum, which has serious economic consequences and a negative impact on public health. We examine the optimal control problem concerning the number of plants infected by the fungus Fusarium Oxysporum. To show the important of the controls, we have made analytical estimates that are validated using simulations.

Published
27 June 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 Y. Baala, M. Rachik. 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

Y. Baala, M. Rachik, A discrete mathematical modeling and optimal control of diseases caused by Fusarium Oxysporum, Commun. Math. Biol. Neurosci. 2022 (2022), 58. https://doi.org/10.28919/cmbn/7372

BibTeX
@article{Baala2022,
  author  = {Baala, Y. and Rachik, M.},
  title   = {A discrete mathematical modeling and optimal control of diseases caused by Fusarium Oxysporum},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {58},
  doi     = {10.28919/cmbn/7372}
}