Extinction and stationary distribution of a competition system with distributed delays and higher order coupled noises
作者： Jing Hu , , Zhijun Liu , Lianwen Wang , Ronghua Tan
DOI: 10.3934/MBE.2020184
关键词: Competition (biology) 、 Coupling (computer programming) 、 Kernel (statistics) 、 Extinction 、 Saturation (chemistry) 、 Mathematics 、 Nonlinear system 、 Statistical physics 、 Stationary distribution 、 Noise (electronics)
摘要: A stochastic two-species competition system with saturation effect and distributed delays is formulated, in which two coupling noise sources are incorporated every source has on species’ intrinsic growth rates nonlinear form. By transforming the two-dimensional weak kernel into an equivalent four-dimensional system, sufficient conditions for extinction of species existence a stationary distribution positive solutions to obtained. Our main results show that noises play significant role long time behavior system.
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