# 2021年上海理工大學 “生物數學與動力系統”學術研討會

(華東師(shi)范大學)

Bifurcations in Recurrent Neural Network Involving Transcendental Functions

Weinian Zhang (張(zhang)偉年(nian))

Sichuan University (四川大學)

Abstract: In this talk we investigate bifurcations of a three-node recurrent neural network, in which the transcendental function tanh(x) and its iterates are involved. Those functions make computation so complicated that one hardly determine the number and distribution of all equilibria. We give a method to ignore the classic routine of discussion but display their saddle-node, pitchfork, and Hopf bifurcations.

Jing’an Cui (崔景安(an))

Beijing University of Civil Engineering and Architecture(北京建筑(zhu)大(da)學)

Dynamic Modeling of COVID-19

Zhen Jin (靳 禎(zhen))

Shanxi University (山(shan)西大(da)學)

Abstract: The outbreak of the Corona Virus Disease 2019 (COVID-19) epidemic began since last December that has spread the fastest, caused the most extensive infections and has a huge impact on the safety of human life. Dynamical modelling is one of the useful methods to reveal the transmission rule of COVID-19 spread which is based on the internal transmission mechanism and can dynamically predict the future trend according to the current information. In the talk, we will introduce some of the transmission dynamics models of COVID-19 under intervention: homogeneous mixed dynamics model, network dynamics model, and household dynamics modelWe also evaluated isolation and other interventions measures.