摘要
This paper investigates a stochastic Holling II predator-prey model with Levy jumps and habit complexity.It is first proved that the established model admits a unique global positive solution by employing the Lyapunov technique,and the stochastic ultimate boundedness of this positive solution is also obtained.Sufficient conditions are established for the extinction and persistence of this solution.Moreover,some numerical simulations are carried out to support the obtained results.
基金
supported by the National Natural Science Foundation of China(Nos.11901398,11671149,11871225 and 11771102)
Guangdong Basic and Applied Basic Research Foundation(No.2019A1515011350)
the Fundamental Research Funds for the Central Universities(No.2018MS58).
