论文标题
随机两种物种互助模型跳跃
Stochastic two-species mutualism model with jumps
论文作者
论文摘要
证明存在和唯一性是针对随机微分方程系统的全球积极解决方案,描述了被白噪声,中心和非中心的泊松噪声打扰的两种物种互助模型。我们获得了足够的条件,以实现随机最终界限,随机持久性,平均值,不持久性,在溶液对所考虑系统的平均值和灭绝中的强烈持久性。
The existence and uniqueness are proved for the global positive solution to the system of stochastic differential equations describing a two-species mutualism model disturbed by the white noise, the centered and non-centered Poisson noises. We obtain sufficient conditions for stochastic ultimate boundedness, stochastic permanence, nonpersistence in the mean, strong persistence in the mean and extinction of the solution to the considered system.