Global dynamics of avian influenza with nonlinear recovery rate andpsychological effect

Date:2019-10-29Clicks:10设置

Topic: Global dynamics of avian influenza with nonlinear recovery rate andpsychological effect

Speaker: Professor YancongXu

Event date: 10/29/2019

Event time: 9:00 am

Venue: Lecture Hall 1508, Building 9

Sponsor: School of Mathematics and Statistics, Institute of Science and Technology

Abstract: In this paper, we construct an SI-SEIR type avian influenza epidemic model with psychological effect and nonlinear recovery rate to study the roles of saturation inhibition effect, psychological effect and available resources of public health systems(especially the number of hospital beds) on the transmission and control of avian virus. Through setting the basic reproductive number as the threshold parameter and constructing Liapunov function, Dulac function and the secondadditive compound matrix to prove the global stability of disease-freeequilibrium and endemic equilibrium. Finally, numerical simulations are alsogiven to verify the results.


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