研究了一类具有相互干扰和非线性饱和功能性反应且食饵种群非线性增长的食饵-捕食者模型的动力学行为.利用Pioncare-Bendixson环域定理,张芷芬唯一性定理,旋转向量场理论,获得了保证系统的边界平衡点和正平衡点全局渐近稳定的阀值条件.最后,给出了数值模拟结果.

In this paper, the dynamical behaviors of the predator-prey model with mutual interference, nonlinear saturated functional response and nonlinear growth in the prey population are studied. By using Pioncare-Bendixson theorem, uniqueness theorem by Zhang Zhi-fen, rotated vector fields theory, the global asymptotic stable threshold conditions of boundary equilibrium point and positive equilibrium point in the system are obtained. At last, the conclusions of the numerical simulation.