含恐惧效应与二次死亡率的捕食者–猎物模型的动力学分析
Dynamical Analysis of a Predator-Prey Model with Fear Effect and Secondary Mortality
摘要: 为更贴近真实生态机制，本文研究一类同时考虑恐惧效应与捕食者二次死亡率的捕食者–猎物模型。通过求解平衡方程并结合雅可比矩阵特征值判据，分析边界平衡点与共存平衡点的存在性及局部稳定性。结果表明：恐惧效应与密度制约型死亡机制可显著改变系统稳态结构，并在一定条件下促进两种群稳定共存。
Abstract: To better reflect ecological mechanisms, we study a predator-prey model incorporating both fear effect and secondary mortality of predators. By solving equilibrium equations and applying eigenvalue criteria of the Jacobian matrix, we investigate the existence and local stability of boundary and coexistence equilibria. The results indicate that fear effect and density-dependent mortality can reshape the steady-state structure and may promote stable coexistence under certain conditions.
文章引用：徐宇轩. 含恐惧效应与二次死亡率的捕食者–猎物模型的动力学分析[J]. 应用数学进展, 2026, 15(4): 694-700. https://doi.org/10.12677/aam.2026.154194

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