一类具有目标收益导向的淡水生态系统生产者-消费者管理模型

A Kind of Aquatic Producer-Consumer Management Model with Target Profit

  • 摘要: 基于"养鱼先养水"的可持续发展理念,利用微分代数方程建立了一类具有目标收益导向的淡水生态系统生产者-消费者管理系统.利用局部参数化等方法,讨论了系统正平衡态的存在性、稳定性及Hopf分支.结果表明:目标收益存在一个阈值,当期望的目标收益小于该阈值时,系统内的各类资源可持续共存;当期望的目标收益大于该阈值时,系统将会呈现周期震荡.

     

    Abstract: Based on the sustainable development concept of "first water conserving before fish raising", a kind of aquatic producer-consumer management system with target income oriented was established by using differential algebraic equation. The existence, stability of positive equilibrium and Hopf bifurcation were discussed. The results showed that there is a threshold value for the target income, all kinds of resources in the system will coexist when the expected target income is less than that threshold. When the expected return is greater than the threshold, the system will exhibit periodic shocks.

     

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