AUTHORS: T. A. Anake, O. J. Adeleke, S. O. Edeki, J. I. Ejiogu
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This study considers the Predator-Prey model taking the predator and the prey to be custom officers and vehicle smugglers respectively. For ease of computation, the numerical methods applied are the Adomian Decomposition Method (ADM) and the Picard Iteration Method (PIM). The results obtained via the ADM are compared with those from PIM. The comparison shows that both methods approximate the solutions effectively. Although, Adomian polynomials are required in the case of ADM unlike the PIM.
KEYWORDS: Predator-Prey model; Adomian Decomposition Method; Picard Iteration; Iteration; Approximate solution; species interaction
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