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Existence of periodic probability measure solutions to Fokker-Planck equations for SDEs with random switching

發(fā)布者:文明辦發(fā)布時(shí)間:2025-11-04瀏覽次數(shù):41

主講人:李丹 安徽大學(xué)副教授


時(shí)間:2025年11月6日15:30


地點(diǎn):三號(hào)樓332室


舉辦單位:數(shù)理學(xué)院


主講人介紹:李丹,理學(xué)博士,安徽大學(xué)副教授。主要從事生物數(shù)學(xué)中種群與傳染病系統(tǒng)隨機(jī)方法建模和動(dòng)力學(xué)理論分析研究。作為項(xiàng)目負(fù)責(zé)人承擔(dān)國(guó)家自然科學(xué)基金項(xiàng)目2項(xiàng),作為主要參加者參與國(guó)家自然科學(xué)基金面上項(xiàng)目1項(xiàng),在包括Journal of Differential Equations,Journal of Mathematical Biology, Bulletin of Mathematical Biology等應(yīng)用數(shù)學(xué)領(lǐng)域?qū)W術(shù)期刊上發(fā)表論文十多篇。


內(nèi)容介紹:In this talk, we will discuss the existence of periodic probability measure solutions to the Fokker-Planck equation for a periodic stochastic differential equation driving by a continuous-time, discrete-state jump process. Based on these results, we establish a Lyapunov function criterion for the existence of periodic probability measure solutions to the Fokker-Planck equation in both non-degenerate and degenerate cases.

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