Finite-time stability of a stochastic tree-grass-water-nitrogen system with impulsive and time-varying delay  

作　　者：Shiliang Pan Qimin Zhang Ting Kang Anke Meyer-Baese Xining Li 

机构地区：[1]School of Mathematics and Statistics Ningria University,Yinchuan 750021,P.R.China [2]Xinhua College,Ningria University Yinchuan 750021,P.R.China [3]Department of Scientific Computing,Florida State University Tallahassee,FL 32310-6046,USA

出　　处：《International Journal of Biomathematics》2024年第6期1-39,共39页生物数学学报(英文版)

摘　　要：A class of time-varying delay impulsive reaction-diffusion tree grass-water-nitrogen system driven by Levy jump process is considered.First,we prove the existence and uniqueness of the global positive solution of the model by constructing the Lyapunov function.Secondly,several sufficient conditions for finite-time stability are given by using comparison theorem and mean impulse interval method.Finally,numerical simulations are carried out to verify the effectiveness of the theoretical analysis.

关 键 词：Finite-time stability tree grass-water-nitrogen system reaction-diffusion time-varying delay IMPULSIVE 

分 类 号：O17[理学—数学]