Analysis of a stochastic logistic model with diffusion

作者：Liu Meng^*; Deng Meiling; Du Bo

来源：Applied Mathematics and Computation, 2015, 266: 169-182.

DOI：10.1016/j.amc.2015.05.050

• Logistic equation
• Random noises
• Diffusion

Taking both white noise and Levy jump noise into account, a stochastic logistic model with diffusion is proposed and considered. Under some simple assumptions, the almost complete parameters analysis of the model is carried out. In each case it is shown that the population in each patch is either stable in time average or extinct, depending on the parameters of the model, especially, depending on the intensity of the Levy jump noise. Some simulation figures are introduced to validate the theoretical results.

• 出版日期2015-9-1
• 单位淮阴师范学院