中文摘要：

讨论了一类具有捕获的分数阶种群捕食模型。通过定性分析方法研究了该系统的解的非负性和有界性,利用分数阶系统稳定性理论给出该系统正平衡点的局部渐近稳定和全局渐近稳定的条件,并用数值模拟验证了以上理论结果的正确性。

英文摘要：

This paper discusses a class of fractional order predator-prey system with harvesting. Through qualitative analysis,the non-negativity and boundedness of all solutions are studied. Then, ap- plying the stability theory of fractional order system, we give some locally asymptotical stability and globally asymptotical stability condition for this system. Finally, some numerical simulations are provided to prove the theoretical results above.