Implementation of Adomian Decomposition Method for Maize Streak Virus Disease Model to Reduce the Contamination Rate in Maize Plant

Authors

  • Malinidevi Ramanathan Assistant Professor
  • Vaishnavi Kalirajan Research Scholar

DOI:

https://doi.org/10.12723/mjs.65.5

Keywords:

Maize Streak Virus, Adomian Decomposition Method, Analytical solution, Numerical simulation, contamination rate.

Abstract

   

          In this paper, the Maize Streak Virus disease model which involves the Maize and the Homopteran population is considered. This system of the differential equation is analytically solved by using Adomian Decomposition Method. The analytical results are compared with numerical simulation by assuming certain values for the parameter. Further, the demolishing and contamination rate of contagious and receptive homopteran on receptive and contagious Maize plant  parameters are analyzed to reduce the contamination rate. In addition, the death rates of contagious maize, receptive homopteran and contagious homopteran  are also discussed to remove the contagious population and make them free from Maize Streak Virus.

References

Adomian, G. (1990). A REVIEW OF THE DECOMPOSITION METHOD AND SOME RECENT RESULTS FOR NONLINEAR EQUATIONS. 13(7).

Adomian, G. (1994). Decomposition Methods: A New Proof of Convergence. 18(12), 103–106.

Æ, E. A. Æ. D. G., Lett, J. M., & Peterschmitt, Æ. M. (2009). Large accumulations of maize streak virus in the filter chamber and midgut cells of the leafhopper vector Cicadulina mbila. 255–262. https://doi.org/10.1007/s00705-008-0308-2

Alemneh, H. T., Makinde, O. D., & Theuri, D. M. (2019). Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant. 2019.

Biazar, J. (n.d.). Solution of the epidemic model by Adomian decomposition method Related papers. https://doi.org/10.1016/j.amc.2005.04.036

Bosque-perez, N. A. (1999). Biology of Cicadulina leafhoppers and epidemiology of maize streak virus disease in West Africa. 16(1), 50–55.

Karavina, C. (2014). Maize streak virus : A review of pathogen occurrence, biology and management options for smallholder farmers. 9(36), 2736–2742. https://doi.org/10.5897/AJAR2014.8897

Magenya, O. E. V, Mueke, J., & Omwega, C. (2020). Significance and transmission of maize streak virus disease in Africa and options for management : A review. 7(25), 4897–4910.

Maize, A., Potato, S., & Mabhaudhi, T. (2019). Consumer Perceptions and Acceptability of Traditional Dishes Prepared with Provitamin. 2005, 1–21.

Mak, M. A. N. K., Leung, C. S., & Harko, T. (2019). A BRIEF INTRODUCTION TO THE ADOMIAN DECOMPOSITION METHOD, WITH APPLICATIONS IN ASTRONOMY AND. 1(1), 1–41.

Martin, D. P., & Shepherd, D. N. (2009). The epidemiology, economic impact and control of maize streak disease. 305–315. https://doi.org/10.1007/s12571-009-0023-1

Mays, Z. (2011). Comptes Rendus Biologies A European perspective on maize history ´ vue sous un angle europe L ’ histoire du maı. 334, 221–228. https://doi.org/10.1016/j.crvi.2010.12.015

Mlotha, V., Mwangwela, A. M., Kasapila, W., Siyame, E. W. P., & Masamba, K. (2015). Glycemic responses to maize flour stiff porridges prepared using local recipes in Malawi. https://doi.org/10.1002/fsn3.293

Rach, R. (1996). F @ m-n + : 24(11), 39–46.

Reading, F. (2008). Maize Streak Virus.

Shepherd, D. N., Martin, D. P., Walt, E. V. A. N. D. E. R., Dent, K., Varsani, A., & Rybicki, E. P. (2010). Pathogen profile Maize streak virus : an old and complex ‘ emerging ’ pathogen. 11, 1–12. https://doi.org/10.1111/J.1364-3703.2009.00568.X

Society, A. H., History, A., & Papers, S. (1923). NOTES ON THE AGRICULTURAL HISTORY OF MAIZE Author ( s ): G . N . COLLINS Source : Agricultural History Society Papers, 192 , Vol . 2 ( 1923 ), pp . 409, 411-429 Published by : Agricultural History Society Stable URL : https://www.jstor.org/stable/44215784. 2(May 2022), 411–429.

Subedi, S. (2015). A review on important maize diseases and their management in Nepal. 1, 28–52. https://doi.org/10.5281/zenodo.34292

The, N. O. F., Of, F., The, A. O. N., Of, P., Using, P., Naresh, E. R., Tripathi, A., Biazar, J., & Sharma, D. (1914). ANALYSIS OF THE EFFECT OF VACCINATION ON THE SPREAD OF AIDS E PIDEMIC USING ADOMIAN.

Ward, J. M. J., Stromberg, E. L., & Nowell, D. C. (1999). ’ray ,eaf 3pot ! 83(10).

Zhang, W., Olson, N. H., Baker, T. S., Faulkner, L., Agbandje-mckenna, M., Boulton, M. I., Davies, J. W., & Mckenna, R. (2001). Structure of the Maize Streak Virus Geminate Particle. 477, 471–477. https://doi.org/10.1006/viro.2000.0739

Additional Files

Published

2023-07-14