随机环境下多物种彩票竞争模型的动力学

IF 0.8 4区数学 Q3 STATISTICS & PROBABILITY Stochastics and Dynamics Pub Date : 2022-12-06 DOI:10.1142/s0219493722400287

Jiaqi Cheng, Xiaoying Han, Ming Liao

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引用次数: 0

摘要

研究了随机环境下N≥2个生态物种竞争的N维彩票模型。首先，建立了一个非线性随机微分方程系统作为离散彩票模型的扩散近似。然后研究了正有界全局解的存在唯一性，以及解的长期动力学性质。特别是，分别构建了灭绝和持续发生的充分条件。

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Dynamics of a multi-species lottery competition model in stochastic environments

An N-dimensional lottery model for competition among $N \geq 2$ ecological species in stochastic environments is studied under the i.i.d. assumption. First, a system of nonlinear stochastic differential equations (SDEs) is developed as the diffusion approximation for the discrete lottery model. Then the existence and uniqueness of positive and bounded global solutions, as well as long-term dynamics for the solution are investigated. In particular, sufficient conditions under which extinction and persistence occur are constructed, respectively.

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来源期刊

Stochastics and Dynamics 数学-统计学与概率论

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system''s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.