一类具有Holling Ⅱ型功能反应的分数阶捕食者-食饵系统的动力学分析

A Dynamical Analysis of a Fractional-order Predator-prey Model with Holling type-Ⅱ Functional Responses

讨论了一类具有Holling II型功能反应的分数阶捕食者-食饵模型.在食饵和捕食者均具有收获的情况下,研究了该模型解的存在唯一性、非负性、一致有界性和平衡点的局部渐近稳定性,给出了正平衡点的全局渐进稳定的充分条件.

A fractional-order predator-prey model with Holling type-II functional response is investigated.By using qualitative analysis,the existence and uniqueness,non-negativity and boundedness of all solutions are studied.Then,applying the stability theory of fractional-order systems,we obtain the sufficient conditions for the locally asymptotical stability and globally asymptotical stability of the positive equilibriums.