%0 Journal Article
%T 食饵具有常数投放率的食饵-捕食模型的定性分析<br>Qualitative Analysis of a Prey-Predator Model witha Constant Investment Rate of Prey Species
%A 王学蕾
%J Advances in Applied Mathematics
%P 2500-2506
%@ 2324-8009
%D 2022
%I Hans Publishing
%R 10.12677/AAM.2022.115264
%X 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。<br />
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.
%K 平衡点，存在性，唯一性，极限环<br>Equilibrium Point
%K Existence
%K Uniqueness
%K Limit Cycle
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=51340