摘要
基于一类含有捕获项的非自治脉冲随机单种群模型,我们进一步分别讨论了该模型的弱持久,非平均持久和平均持久.我们也用数值模拟验证了理论结果的合理性.
Based on a known non-autonomous impulsive stochastic single-species model with predation term, we further discuss and respectively establish sufficient conditions for the weakly persistence, non-persistence and persistence in the mean of the model. The theoretical analysis results are also justified by numerical simulations.
作者
吕慧斌
刘志军
LV Hui-bin LIU Zhi-jun(Department of Mathematics, Hubei University for Nationalities, Enshi Hubei 445000 Chin)
出处
《生物数学学报》
2016年第4期437-445,共9页
Journal of Biomathematics
基金
supported by the National Natural Science Foundation of China(No.11261017)
关键词
脉冲随机单种群模型
捕获项
弱持久
非平均持久
平均持久
Impulsive stochastic single-species model
Predation term
Weakly persistence
Non-persistence in the mean
Persistence in the mean