Bifurcations and Transmission Dynamics of Compartmental Models for Mosquito Borne Diseases


Huaiping Zhu, York University, Canada


2017.08.02 15:00-16:00


Middle Lecture Room, Math Building


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.