
一类具有连续输入互补型营养基的捕食者-食饵恒化器模型
A PREDATOR-PREY CHEMOSTAT MODEL WITH COMPLEMENTARY NUTRIENTS INPUTS
研究了一类具有连续输入双营养基的捕食者~-- 食饵恒化器模型, 极限营养基的吸收采用~Monod 型. 通过构造~Lyapunov 函数把四维双营养基模型化为二维模型,研究了极限系统非负平衡点的稳定性和 极限环存在的条件. 最后,通过数值模拟验证了结论的正确性.
In this paper, we formulate and investigate a predator-prey chemostat model with complementary nutrients inputs, assimilate function on nutrients is Monod function. By Lyapunov function, we reduce four dimension system to two dimension system, next, study stability of non-negative equilibrium and existence of limit cycle on limit system. At last, the feasibility of results is verified by numerical simulation.
恒化器 / 互补型营养基 / / Lyapunov 函数 / 极限环. {{custom_keyword}} /
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