具有反馈控制变量的偏害模型稳定性研究
Global stability of an amensalism system with feedback controls

研究具有反馈控制变量的两种群偏害共生模型正平衡点的稳定性. 通过构造适当的Lyapunov函数，讨论系统的全局稳定性. 研究表明，如果原系统是全局稳定的，反馈控制变量仅改变正平衡点的位置，使得种群平衡密度变小，不会改变正平衡点的稳定性；如果原系统是绝灭的，加入适当的反馈控制变量，可以使绝灭的种群变稳定.
An amensalism system with feedback controls is investigated. By constructing a suitable Lyapunov function，we discuss the global stability of the equilibrium. Research results show that if the amensalism system is global stability，the feedback control variables have no influence on the global stability. If the amensalism system is extinct，by choosing suitable feedback control variables，the extinct population becomes stability