具有合作狩猎功能性反应的两种群随机捕食系统的动力学行为研究

Dynamic Behaviors of Two-species Stochastic Predator-Prey System with Hunting Cooperation Functional Response

对一个具有合作狩猎功能性反应的两种群随机捕食系统进行研究.应用Ito公式,并通过构造适当的Lyapunov函数,首先讨论了系统全局正解的存在性;其次,基于Chebyshev不等式,研究了系统解的随机最终有界性;然后,分析了解在时间平均意义下的矩有界性;最后,通过数值模拟验证了理论分析结果的正确性.

In this paper,we consider a stochastic two species predator-prey system with hunting cooperation functional response.Using the Ito’s formula,and by constructing the proper Lyapunov function,we first discuss the existence of the global positive solution of the system;Furthermore,base on Chebyshev inequality,we study the stochastically ultimate boundedness of solution;Then,we show that the average in time of the moment of the solution is bounded;Finally,we verify the correctness of the theoretical analysis results by numerical simulation.