Abstract
In this paper, a new technique has been proposed and applied to find analytical approximate solutions for predator-prey systems. The new technique depends on combining the algorithms of Shehu transform and Akbari-Ganji’s method (AGM) with Padé approximant. Three examples are given to test the effectiveness, accuracy, and performance of the suggested method. In comparison to the existing methods used to identify the analytical approximate solutions of the current problems, the results of using the new technique demonstrate that it has excellent efficiency and accuracy. Also, the tables and errors graphs show the applicability and necessity of this technique.
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