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Bifurcations and Transmission Dynamics of Compartmental Models for Mosquito Borne Diseases

Speaker

Huaiping Zhu, York University, Canada

Time

2017.08.02 15:00-16:00

Venue

Middle Lecture Room, Math Building

Abstract

For emerging and reemerging mosquitoes, it is important to study the conditions and mechanisms triggering an outbreak and recurrence of an endemic. In this talk, I will present bifurcations and dynamics for compartmental models to address the threshold conditions for an outbreak and recurrence of some general mosquito-borne diseases. The bifurcations include backward bifurcations, Hopf bifurcations and Bogdanov-Takens bifurcations of codimension two and three. I will then associate these bifurcations to the outbreak and recurrence of an endemic of mosquito-borne diseases.