糖心TV Complexity Science Events
Complexity Centre and MathSys CDT events carry priority over room D1.07.
To book D1.07 please email Sheetal dot Sharma at warwick dot ac dot uk
Please note that your event booking is for D1.07 only. The adjacent common room is a private area for the MathSys Centre that cannot used as part of your booking.
Complexity Forum: C.-F. Lee (Imperial College)
Speaker: C.-F. Lee (Imperial College)
Title: Stochastic dynamics of reaction-diffusion systems: An epidemic model case study
Abstract:
Reaction-diffusion systems are fundamental in modelling nonequilibrium processes arisen naturally in chemistry, physics, biology and ecology. A reaction-diffusion system is typically studied from the perspective of a set of partial differential equations in which fluctuations in particle diffusion and reactions are ignored. Although such an approach is undoubtedly applicable to a wide range of systems, it has also been realized that fluctuations in both diffusion and reaction events have important effects on the steady-state statistics of the system. In this talk, using the well-known Susceptible-Infected-Recovered-Susceptible (SIRS) epidemic model as an example, I will discuss how fluctuations affect the steady state of the system. Specifically, I will show how some analytical methods, such as quantum field theory, can be employed to calculate the effects of diffusion on the steady-state solutions. I will also compare the analytical results with extensive numerical simulations. This work is done in collaboration with Fernando Peruani at the University of Nice.
Lunch group: 4