For the nonlinear predator–prey system (PPS), although a variety of numerical methods have been proposed, such as the difference method, the finite element method, and so on, but the efficient numerical method has always been the direction that scholars strive to pursue. Based on this question, a sinc function interpolation method is proposed for a class of PPS. Numerical simulations of a class of PPS with complex dynamical behaviors are performed. Time series plots and phase diagrams of a class of PPS without self-diffusion are shown. The pattern is obtained by setting up different initial conditions and the parameters in the system according to Turing bifurcation condition. The numerical simulation results have a good agreement with theoretical results. Simulation results show the effectiveness of the method.

中文翻译：

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基于Sinc函数插值法的一类具有齐次Neumann边界条件的捕食系统的数值模拟。

对于非线性捕食-被捕食系统（PPS），尽管已经提出了多种数值方法，例如差分法，有限元法等，但是有效的数值方法一直是学者们努力的方向。追求。基于这个问题，提出了针对一类PPS的正弦函数插值方法。对一类具有复杂动力学行为的PPS进行了数值模拟。显示了没有自扩散的一类PPS的时间序列图和相位图。通过根据图灵分歧条件在系统中设置不同的初始条件和参数来获得模式。数值模拟结果与理论结果吻合良好。仿真结果表明了该方法的有效性。