

















Abstract:In this paper, we study a two-dimensional process arising as the unique nonnegative solution to a system of two stochastic differential equations (SDEs) with mutually enhancing two-way interactions driven by independent Brownian motions and spectrally positive $\alpha$-stable random measures. Such a SDE system can be identified as a continuous-state Lotka-Volterra type population model. Extinction properties of the populations are studied for different choices of the coefficients involved in the SDEs.
From: Xu Yang [view email]
[v1]
Tue, 17 Mar 2026 07:16:46 UTC (28 KB)
[v2]
Sun, 13 Sep 2026 02:12:34 UTC (28 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。