主講人：王穩(wěn)地 西南大學(xué)教授

時(shí)間：2022年4月27日19：00

地點(diǎn)：騰訊會(huì)議 478 127 447

舉辦單位：數(shù)理學(xué)院

主講人介紹：王穩(wěn)地，西南大學(xué)二級(jí)教授，博士生導(dǎo)師, 中國(guó)生物數(shù)學(xué)學(xué)會(huì)副理事長(zhǎng)，2005年獲得重慶市名師稱(chēng)號(hào), 2018年獲得重慶市最美教師稱(chēng)號(hào);從事生物數(shù)學(xué)的研究,在種群動(dòng)力學(xué)和傳染病動(dòng)力學(xué)建模和分析方面發(fā)表論文100多篇，7次入選Elsevier數(shù)學(xué)類(lèi)高引用論文作者;已經(jīng)主持國(guó)家自然科學(xué)基金課題7項(xiàng)、教育部項(xiàng)目2項(xiàng)，目前擔(dān)任兩個(gè)國(guó)際刊物編委。

內(nèi)容介紹：First, I will talk about scarlet fever, which is an acute respiratory infectious disease with the increasing incidence rate from 2011 throughout the world. We propose the mathematical models that incorporate both direct transmissions and indirect transmissions of scarlet fever. The threshold conditions for disease invasion are obtained in terms of the basic reproduction number. The peak value, final size and epidemic time in a seasonal prevalence are investigated numerically. Furthermore, the effects of seasonal fluctuations on disease outbreak are also studied on the basis of real data in China. Second, I introduce the model of age-structured pertussis model with covert infection. It is shown that although the vaccine coverage rate is relatively high, the model has a backward bifurcation for a larger covert infection rate. This highlights the importance to control the covert infections.