论文标题
莱维跳跃的不精确随机多分子生化反应模型的动力学
Dynamics of an imprecise stochastic multimolecular biochemical reaction model with Lévy jumps
论文作者
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的多分子生化反应模型，其中包括Lévy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，获得了反应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 multimolecular biochemical reaction model that includes Lévy jumps and interval parameters. Firstly, we prove the existence and uniqueness of the positive solution. Moreover, the threshold between extinction and persistence of the reaction is obtained. Finally, some simulations are carried out to demonstrate our theoretical results.
