International Journal of Modern Science and Technology

ISSN 2456-0235

INDEXED IN 

International Journal of Modern Science and Technology, 1(4), 2016, Pages 138-143. 


Numerical Solutions of Mathematical Model on Effects of Biological Control on Cereal Aphid Population Dynamics

​Judith J. E. J. Ogal1, N. B. Okelo1, Roy Kiogora2, Thomas Onyango3
1 School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology,
P. O. Box 210-40601, Bondo-Kenya.
2 Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Kenya.
3 Department of Industrial and Engineering Mathematics, The Technical University of Kenya, Kenya.

​​Abstract
Aphids can be of high risk in any crop if not contained. They can cause significant yield reduction by damage done to crops directly or indirectly either through direct feeding or diseases caused by virus transmission. It is also important to note that aphids have a complex lifecycle and dispersal patterns. Most researchers use already existing models and often extend them to incorporate extra parameters that represent specific features of the aphid that they would wish to analyze, without necessarily testing or determining the extent of effectiveness of the model. In this study, we have therefore gone an extra mile to construct two sets of mathematical models, by adjusting the function representing the prey-predator interaction then comparing them to determine which model gives a more accurate analysis of data.

​​Keywords: ​Mathematical model; Numerical solution; Population dynamics; Biological control; Aphids. 

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