In this study, the approximate solutions of the predator–prey system with delay have been obtained by using the modified Chebyshev collocation method. The main technique is that this method transforms the original problem into a system of nonlinear algebraic equations. By using the residual function of the operator equations, error differential equations are constructed and thus the approximate solutions are corrected. A numerical example is given to confirm the reliability and applicability of the method, and comparisons with existing results are given. The numerical results show that the obtained solutions are in good agreement with earlier studies.

中文翻译：

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时滞捕食者-食饵系统的修正Chebyshev配置方法。

在这项研究中，通过使用改进的Chebyshev配置方法，获得了时滞捕食者－被捕食者系统的近似解。主要技术是该方法将原始问题转换为非线性代数方程组。通过使用算子方程的残差函数，可以构造误差微分方程，从而校正近似解。通过数值算例验证了该方法的可靠性和适用性，并与现有结果进行了比较。数值结果表明，所获得的解与早期研究吻合良好。