[14:30] Coast-to-Coast Seminar: Oscillations in a Patchy Environment Disease Model
Date | Tuesday March 31 2009 |
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Time | 14:30 - 15:30 |
Location | Online (local AccessGrid room) |
Contact | David McCaughan, SHARCNET |
URL | http://www.math.unb.ca/~lwang/ |
You are NOT registered for this event. Register. | |
Speaker: Dr. Lin Wang, Department of Mathematics and Statistics, University of New Brunswick For a single patch SIRS model with a period of immunity of fixed length, recruitment-death demographics, disease related deaths and mass action incidence, the basic reproduction number R0 is identified. It is shown that the disease free equilibrium is globally asymptotically stable if R0 < 1. For R0 > 1, local stability of the endemic equilibrium and Hopf bifurcation analysis about this equilibrium are carried out. Moreover, a practical numerical approach to locate the bifurcation values for a characteristic equation with delay-dependent coefficients is provided. For a two-patch SIRS model with travel, it is shown that there are several threshold quantities determining its dynamic behavior and that 1) travel can reduce oscillations in both patches; 2) travel may enhance oscillations in both patches; 3) travel can also switch oscillations from one patch to another. If you are planning to attend this seminar, ensure you have registered using the link provided at the top of this announcement. AG rooms will only be opened for these seminars where someone has indicated they plan to attend. |