一类空间非齐次随机偏微分方程流行病模型的分析
Analysis of A Spatially Inhomogeneous Stochastic Partial Differential Equation Epidemic Model
摘要：
本文提出并分析了一类空间非齐次传染病模型。这是我们第一次尝试使用随机偏微分方程（SPDE）来模拟具有空间变化和环境噪声的流行病动力学。在建立问题后，研究了基本SPDE解的存在性和唯一性。然后给出了持久性和绝灭的定义。给出了系统持久和绝灭的某些充分条件。希望本文能从一个新的角度为研究传染病模型打开一扇窗。
英文摘要：
This work proposes and analyzes a family of spatially inhomogeneous epidemic models. This is our first effort to use stochastic partial differential equations (SPDEs) to model epidemic dynamics with spatial variations and environmental noise. After setting up the problem, existence and uniqueness of solutions of the underlying SPDEs are examined. Then definitions of permanence and extinction are given. Certain sufficient conditions are provided for the permanence and extinction. Our hope is that this paper will open up windows for investigation of epidemic models from a new angle.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
