摘要
This article concerns the study of stochastic Gilpin-Ayala mutualism models with white noise and Poisson jumps. Firstly,an explicit solution for one-dimensional Gilpin-Ayala mutualism model with jumps is obtained and the asymptotic pathwise behavior is analyzed. Then, sufficient conditions for the existence of global positive solutions, stochastically ultimate boundedness and stochastic permanence are established for the n-dimensional model. Asymptotic pathwise behavior of n-dimensional Gilpin-Ayala mutualism model with jumps is also discussed. Finally numerical examples are introduced to illustrate the results developed.
- 出版日期2013-7-19
- 单位中国石油大学(北京); 哈尔滨工业大学; 东北师范大学