This research paper investigates the numerical solutions of the predator–prey model through five recent numerical schemes (Adomian decomposition, El Kalla, cubic B-spline, extended cubic B-spline, exponential cubic B-spline). We investigate the obtained computational solutions via the modified Khater methods. This model is considered as a well-known bimathematical model to describe the prototype of an excitable system. The obtained solitary solutions emerge the localized wave packet as a persistent and dominant feature. The accuracy of the obtained numerical solutions is investigated by calculating the absolute error between the exact and numerical solutions. Many sketches are given to illustrate the matching between the exact and numerical solutions.

中文翻译：

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作为可兴奋系统原型的捕食者-被捕食者模型的数值模拟

本研究论文通过最近的五种数值方案（Adomian 分解、El Kalla、三次 B 样条、扩展三次 B 样条、指数三次 B 样条）研究了捕食者-被捕食者模型的数值解。我们通过改进的 Khater 方法研究了获得的计算解决方案。该模型被认为是描述可激励系统原型的著名双数学模型。所获得的孤立解将局域波包作为持久且主要的特征出现。通过计算精确解和数值解之间的绝对误差来研究所获得的数值解的准确性。给出了许多草图来说明精确解和数值解之间的匹配。