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A new approach to the solution of the prey and predator problem and comparison of the results with the Adomian method. (English) Zbl 1084.65068

Summary: The problem of prey and predator is presented and the power series method is employed to compute an approximation to the solution of the system of nonlinear Volterra differential equations governing the problem. The results are compared with the results using the Adomian decomposition method. Some plots are presented to show the populations of the prey and the predator versus time for illustrating the reliability and simplicity of the method.

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
92D25 Population dynamics (general)
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References:

[1] Biazar, J.; Montazeri, R., A computational method for solution of the prey and predator problem, Applied Mathematics and Computation, 163, 2, 841-847 (2005) · Zbl 1060.65612
[2] Simmons, G. F., Differential Equations with Applications and Historical Notes (1972), McGraw-Hill · Zbl 0231.34001
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