脉冲输入环境毒素的单种群动力学模型研究

The Study on Single Population Model with Pulse Input of Environmental Toxin

利用已有的结果研究了脉冲输入环境毒素的单种群动力学模型,考虑毒素的侵扰,将内禀增长率改变为与生物体内毒素相关的非线性函数形式,得到了边界周期解的全局吸引和系统永久生存的判别条件.

Based on the known results, a single population model in a polluted environment with pulse toxicant input at fixed moment is studied. Considering the harassment of toxin, the intrinsic rate of growth is changed into non-linear functional style related to the concentration of the toxin in the organisms. The threshold condition for the attractivity of the population-extinction boundary period solution and the permanence of the system are obtained.