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首页> 外文期刊>Journal of Applied Mathematics and Computing >Long time behavior of stochastic Lotka-Volterra competitive system with general Levy jumps
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Long time behavior of stochastic Lotka-Volterra competitive system with general Levy jumps

机译:长期行为的随机Lotka-Volterra竞争系统,普通征收跳跃

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摘要

Taking general Levy jumps into account, a traditional competition system with stochastic perturbation is proposed and investigated. Sufficient conditions for extinction are discussed as well as weak persistence, nonpersistence in the mean and stochastic permanence. In addition, the critical number between weak persistence in the mean and extinction is obtained. Our results demonstrate that, firstly, white noises has no effect on the persistence and extinction; secondly, the general Levy jumps could make permanence vanish as well as happen.
机译:提出并调查了一般征收税收跳转,并调查了具有随机扰动的传统竞争体系。 讨论了足够的灭绝条件以及持续持久性,平均和随机持续存在的弱势。 此外,获得了平均值和灭绝的弱持久性之间的临界数。 我们的结果表明,首先,白色噪音对持久性和灭绝没有影响; 其次,一般征收跳跃可能使永久性消失以及发生。

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