摘要
应用控制理论的思想研究了食饵种群第三类功能性反应具有可控投放率的捕食-食饵模型的分支问题.证明了对该系统添加状态反馈后可控制系统正平衡点的存在性和唯一性,给出了系统在平衡点渐近稳定的条件.同时讨论了该问题的生物意义.特别是当状态反馈中的反馈增益为零时,讨论的是该系统常收获率或投放率问题,有重要的实用价值.
Probes into the problem of the third functional responses system with the control theory to study the predator-prey model. It is proved that the existence and uniqueness on systemic positive equilibrium point with the state feedback. The asymptotic steady condition in positive equilibrium point of the said system is given.
