一类比率依赖模型的全局稳定性  

Global Stability for A Ratio- dependent Model

作　　者：胡宝安[1] 李兵[1] 邹晓健[2] 

机构地区：[1]军事交通学院基础部,天津300161 [2]军事交通学院政治部,天津300161

出　　处：《军事交通学院学报》2014年第1期92-95,共4页Journal of Military Transportation University

摘　　要：对在比率依赖理论基础上建立的一类更加符合实际的捕食模型进行研究。通过作适当变换和构造Lyapunov函数的方法,在不增加任何条件的情况下,证明了和此模型平衡点的全局稳定性有关的3个猜想的正确性,更加全面地揭示了两种群在不同环境下的变化规律和发展趋势。This paper studied a more suitable predator - prey model based on the so - called ratio - dependent theory. Un- der the no other added condition, through a change of variable, three open questions on the global stability of equilibriums, which are relate to this model, are resolved by constructing Lyapunov functions. The more comprehensive laws and forecast of the development of predator - prey are revealed for the different environment.

关 键 词：LYAPUNOV函数 全局稳定性 比率依赖模型 

分 类 号：O175.14[理学—数学]