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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Mathematical Contribution of Analytical Solution in Biological Control using Asymptotic Approach

Discontinuity, Nonlinearity, and Complexity 9(2) (2020) 289--297 | DOI:10.5890/DNC.2020.06.009

A. Eswari

Department of Social Sciences, Horticultural College and Research Institute, Tamil Nadu Agricultural University, Periyakulam

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The theoretical model of uncolonised by antagonist, colonised by the antagonist and infected by ther pathogen in the biological control has been discussed. In this article, we present the non-steady state solutions for biological control. The simple analytical expressions of the dimensionless concentrations are derived for non-linear boundary value problem using the variational iteration method. Numerical solutions are obtained and the results are discussed graphically. We also compared our analytical results with numerical simulation, it gives a satisfactory agreement is noted.


Researchers express their gratitude to the Vice Chancellor Dr. N. Kumar, Tamil Nadu Agricultural University, Coimbatore, Dr. T. Arumugam, The Dean, Horticultural College and Research Institute, TNAU, Periyakulam and Dr. J. Kannan, Head of the Department of Social Sciences, Horticultural College and Research Institute, TNAU, Periyakulam, Tamil Nadu, India for their constant support and encouragement.


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