當前位置:首頁  學術活動公告欄

數統學院學術沙龍活動公告

2022-05-30來源:數統學院作者:戴佳華審核人:齊玉輝編輯:袁好雨閱讀:10

時間

地點

主講人

主題

主要內容

參與活動的

專職教師

61

1600-1640

數統院辦301

 騰訊會議:805-910-486

教師:胡智

個人簡介:南京理工大學數學與統計學院副教授,研究方向為數學物理與代數幾何。

twistor theory and hodge theory

Twistor theory was proposed by Sir. Penrose. Since thenPenrose correspondence becomes an important tool in differential geometry and algebraic geometryIn this talkwe will introduce various applications of twistor theory and recent progresses related to Hodge theory.

邱志鵬

61

1650-1730

 數統院辦301

 騰訊會議:805-910-486

趙昕博士

Dynamic behavior of stochastic epidemic models with Markov switching

 Epidemic diseases, including plague, cholera, AIDS and bird flu, have always been a major problem affecting the life and survival of all human beings. By using deterministic differential equations to establish a mathematical model, epidemiology describes and studies the internal transmission laws of diseases, predicts disease trends and gives the optimal control strategy. However, there always exists noise in the environment. Whether it is the change of light intensity in a day or the change of temperature and humidity caused by the alternation of seasons, it will affect the transmission rate of diseases. Random noise is generally divided into two types: one is the sum of many independent tiny random noises, which are usually described in mathematics by white noise; the other is random noise with a small number but a large intensity, such color noise will cause the system to switch between different states and is usually described by continuous-time Markov chains. Based on deterministic epidemic models, scholars established the stochastic epidemic model driven by a mixture of white noise and color noise. They achieved many important results by using the theories of stochastic differential equation and properties of hybrid diffusion system. By mathematical modeling, stochastic analysis and other methods, the SIRS stochastic epidemic models under different noises with nonlinear transmission rate and vaccination are studied in this paper. We further study the SIS epidemic model in complex network under the influence of color noise, and give an improved numerical method. This dissertation is a preliminary study on the dynamic modeling of epidemic with Markov switching.

邱志鵬



分享:
777电影网-琪琪电影网免费观看-777影院手机在线免费看片-2021看片免费电影观看网站