Abstract

Differential Transform Method of solution for a Bio-Pest management Model with Natural Enemies attacking the control organism.

1Ogwumu O. D. and 2Ibrahim M. O.

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Abstract In this study, we propose a biological pest control model, test for the existence and uniqueness of its solution. Moreover, the outcome of the existence and uniqueness of solution test specifies that the solution to the system of equations of the model proposed exists and was found to be unique. Therefore, based on the positive outcome of the claim of this existence and uniqueness test, we present a numerical solution to the proposed model using Differential Transform Method (DTM). Key Words: Bio-pest management, Model, numerical solution, Differential Transform Method, Existence and Uniqueness test, Lipshitz Condition

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