Simulation of the predator-prey problem by the homotopy-perturbation method revised

M. S. H. Chowdhury, Ishak Hashim, R. Roslan

Abstract


In this paper, the
predator-prey problem is revisited. Previous solution by
homotopy-perturbation method (HPM) is improved by treating the
homotopy-perturbation method as an algorithm in a sequence of
intervals (i.e. time steps) called the multistage
homotopy-perturbation method (shortly MHPM). Numerical results
show that the multistage homotopy-perturbation method and the
classical fourth-order Rungge-Kutta (RK4) methods are in complete
agreement.

Keywords


Homotopy-perturbation method; non-linear ODEs; prey and predator problem

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