This paper is concerned with a stochastic delayed one-predator two-prey model with Lévy jumps in polluted environments.First,under some simple assumptions,we prove that there exists a unique global nonnegative so...This paper is concerned with a stochastic delayed one-predator two-prey model with Lévy jumps in polluted environments.First,under some simple assumptions,we prove that there exists a unique global nonnegative solution which is permanent in time average.Moreover,sufficient criteria for the extinction of each species are obtained.Finally,we carry out some numerical simulations to verify the theoretical results.展开更多
基金The work is supported by the National Science Foundation of China(No.11672326)Scientific Research Project of Tianjin Municipal Education Commission(No.2019K.J131)the Fundamental Research Funds for the Central Universities(No.ZXH2012K004).
文摘This paper is concerned with a stochastic delayed one-predator two-prey model with Lévy jumps in polluted environments.First,under some simple assumptions,we prove that there exists a unique global nonnegative solution which is permanent in time average.Moreover,sufficient criteria for the extinction of each species are obtained.Finally,we carry out some numerical simulations to verify the theoretical results.
