A remark on a stochastic logistic model with Levy jumps

作者：Liu Meng; Bai Chuanzhi^*

来源：Applied Mathematics and Computation, 2015, 251: 521-526.

DOI：10.1016/j.amc.2014.11.094

• Logistic equation
• Levy noise
• Extinction
• Permanence

This note is concerned with a famous stochastic logistic equation with Levy noises. Sufficient and necessary conditions for extinction and permanence are established. The results reveal that the Levy noise may change the properties of population dynamics significantly. The results also reveal an important property of the Levy noise: it is unfavorable for the permanence of the population. Some numerical simulations are introduced to validate the analytical results.

• 出版日期2015-1-15
• 单位淮阴师范学院