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Bifurcations and Dynamics of Some Dynamical Models for Mosquito Borne Diseases

Speaker

Huaiping Zhu, York University

Time

2018.08.02 15:30-16:30

Venue

Room 1106, Math Building

Abstract

For emerging and reemerging mosquito-borne diseases, it is important to understand the conditions and mechanisms triggering an outbreak and recurrence of an endemic. In this talk, I will present bifurcation analysis for dynamical models to explore the threshold conditions and mechanisms for the dynamics for some models of general mosquito-borne diseases. The bifurcations include backward bifurcations, Hopf bifurcations and Bogdanov-Takens bifurcations of codimension two and three, and bifurcation of nilpotent singularities.