具有功能反应的一种食物链模型的整体解

Global solutions for a food-chain model with functional response

目的讨论具有Monod-Haldane功能反应的食物链模型的整体解。方法应用线性化分析研究解的存在唯一性和边界平衡点的稳定性。结果得到了该模型整体解的一致有界性和边界平衡点稳定性的充分条件。结论这个系统能够产生非常复杂的动力学行为。

Aim The global solutions for a food-chain model with Monod-Haldane functional response are discussed. Methods Linearization methods are used to analyze and investigate the existence and uniqueness of the solutions and stability of the boundary equilibrium points. Results A sufficient condition for the uniform boundedness of global solutions and the stability of boundary equilibrium points of the model is gained. Conclusion The system can lead to a very complicated dynamical behavior.