報(bào)告題目：Modeling and Dynamics of Disease Spreading on Complex Networks

報(bào)告人：黃剛

報(bào)告時(shí)間：2022年7月12日14：00-15：40

報(bào)告地點(diǎn)：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院3304教室

報(bào)告摘要：Most diseases have multiple pathogenic strains, which may impose difficulty in combatting the disease and lead to rich dynamics. However, their dynamical properties are not well understood. For this purpose, we formulate and analyze a two-strain SIS epidemic model with a competing mechanism and general infection force on complex networks. We derive the basic reproduction number and introduce the invasion reproduction numbers for each strain. We demonstrate that if R_0<1, the disease-free equilibrium is globally asymptotically stable, ie, the disease will die out. If R_0>1, the conditions of the existence and global asymptotical stability of dominant equilibria are further studied. The persistence of the system is also addressed. Numerical simulations are given to illustrate the theoretical results.

報(bào)告人簡介：黃剛,，中國地質(zhì)大學(xué)（武漢）數(shù)學(xué)與物理學(xué)院教授、博士生導(dǎo)師,。先后于中國地質(zhì)大學(xué),，北京科技大學(xué),，日本國立靜岡大學(xué)獲得學(xué)士、碩士和博士學(xué)位?，F(xiàn)任中國地質(zhì)大學(xué)（武漢）數(shù)學(xué)與物理學(xué)院副院長,、中國生物數(shù)學(xué)學(xué)會(huì)理事，湖北省數(shù)學(xué)會(huì)理事,。入選湖北省楚天學(xué)者計(jì)劃,，中國地質(zhì)大學(xué)搖籃計(jì)劃。其主要從事穩(wěn)定性理論,，時(shí)滯微分方程理論及其在種群動(dòng)力學(xué)和傳染病動(dòng)力學(xué)中的應(yīng)用研究,。主持和參與國家自然科學(xué)基金項(xiàng)目四項(xiàng)，主持省部級(jí)教學(xué)科研項(xiàng)目兩項(xiàng),，出版學(xué)術(shù)專著三部,，在JMB，BMB,，SIAM,，JTB， JNS等知名期刊發(fā)表SCI論文40余篇,，論文總被引用2000余次,。

邀請(qǐng)人：王連文

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