Solving ratio-dependent predator–prey system with constant effort harvesting using Adomian decomposition method

摘要

In this paper, an algorithm based on Adomian’s decomposition method is developed to approximate the solution of the ratio-dependent predator–prey system with constant effort harvesting. The convergence of the decomposition series is enhanced using Padé approximation technique. The qualitative analysis of the model reveals that constant effort prey harvesting may contribute to mutual extinction as a possible outcome of predator–prey interaction. Some plots of the population of predator and prey versus time are presented to illustrate the performance and the accuracy of the algorithm. The decomposition method has the advantage of being more concise for numerical purposes.