Symplectic and Complex Geometry

Speaker: Rasul Shafikov (Western)

"Polynomially and Rationally convex domains, Part III"

Time: 13:30

Room: MC 108

In this talk we formulate the result of Cieliebak and Eliashberg that gives a topological characterization of polynomially and rationally convex domains, and identify the key ingredients of the proof.

PhD Thesis Defence

Speaker: Ruchita Amin (Western)

"TBA"

Time: 09:00

Room: ZOOM

MathBio Seminar Talk

Speaker: Dr. Iain Moyles (York University)

"Dynamics and Bifurcations in a Mathematical Model of Coupled Fear-Disease Transmission"

Time: 11:30

Room: MC 204

We explore a mathematical model of disease transmission with a fearful compartment. Susceptible individuals become afraid by either interacting with individuals who are already afraid or those who are infected. Individuals who are afraid take protective measures via contact reductions to reduce risk of transmission. Individuals can lose fear naturally over time or because they see people recovering from the disease. We consider two scenarios of the model, one where fear is obtained at a slower rate than disease spread and one where it is comparable. In the former we show that behavioural change cannot impact disease outcome, but in the latter, we observe that sufficient behavioural intervention can reduce disease impact. However, response to recovery can induce a bifurcation where contact reduction cannot mitigate disease spread. We identify this bifurcation and demonstrate its implication on disease dynamics and final size.