一类带收获和毒素项捕食扩散系统的局部稳定性分析

摘要

运用常微分方程定性与稳定性理论研究了一类带收获和毒素项捕食扩散系统的局部稳定性。找出了正平衡点存在的条件，并得出当系统满足一定的条件时，系统的正平衡点是局部渐近稳定的，补充和完善了前人的结果。%The local behavior of a class of a predator-prey diffusive model with gain and toxicity is studied by using qualitative and stability theory of differential equation in this paper. The conditions that the positive equilibrium exists are found. That the positive equilibrium of the system is local asymptotical stable is given when certain conditions are satisfied in the model,then the conclusion is renewed.