论文标题

不精确的随机Lotka Volterra食物链Chemostat模型的动力学与征税跳跃

Dynamics of an imprecise stochastic Lotka Volterra food chain chemostat model with Levy jumps

论文作者

Sun, Fei

论文摘要

人口动态通常会受到突然的环境扰动的影响。随机模型的参数通常由于各种不确定性而不精确。在本文中,我们制定了一个随机Lotka Volterra食物链化学仪模型,其中包括征税跳跃和间隔参数。首先,我们证明了积极解决方案的存在和独特性。此外,获得了微生物平均值的灭绝与持久性之间的阈值。最后,进行了一些模拟以证明我们的理论结果。

Population dynamics are often affected by sudden environmental perturbations. Parameters of stochastic models are often imprecise due to various uncertainties. In this paper, we formulate a stochastic Lotka Volterra food chain chemostat model that includes Levy jumps and interval parameters. Firstly, we prove the existence and uniqueness of the positive solution. Moreover, the threshold between extinction and persistence in the mean of the microorganism is obtained. Finally, some simulations are carried out to demonstrate our theoretical results.

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