食饵具有常数投放率的食饵-捕食模型的定性分析
Qualitative Analysis of a Prey-Predator Model witha Constant Investment Rate of Prey Species
摘要: 本文研究食饵具有常数投放率的食饵-捕食模型的定性性质，通过线性近似给出了平衡点稳定的充 分条件，并用Dulac函数得出了无极限环的结论。通过构造环域境界线给出极限环存在的条件。最后用数值模拟验证结论的正确性。
Abstract:
In this paper, the qualitative properties of the predator-prey model with constant investment rate are studied. The sufficient conditions for the stability of equilibrium points are obtained by linearization method; and the conclusion for no limit cycle is proved by Dulac function; by constructing boundary lines, the condition for the existence of a limit cycle is gained. Finally, numerical simulation is used to verify the correctness of the conclusion.
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