SMS scnews item created by Haotian Wu at Fri 17 Jun 2022 1250
Modified: Sun 19 Jun 2022 1535
Expiry: 29 Jul 2022
Calendar1: 21 Jun 2022 1130-1230
CalLoc1: AGR Carslaw 829
CalTitle1: Geometric Analysis Seminar: Wang -- Long-time dynamics of some diffusive epidemic models with free boundaries
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Geometric Analysis Seminar
Long-time dynamics of some diffusive epidemic models with free boundaries
Rong Wang (UNE)
On campus: AGR Room (829), Carslaw.
Online: Zoom meeting ID 841-0074-6551 (password: 830020).
Time: 11:30 AM–12:30 PM, 21 June 2022 (Sydney time).
Abstract: We consider the long-time dynamics of two epidemic models with free boundaries, one with local diffusion and the other with nonlocal diffusion. We show that both models are well-posed, and their long-time dynamical behaviours are characterized by a spreading-vanishing dichotomy. When spreading persists, we also determine the spreading speed. For the local diffusion model, we show that the spreading speed is always finite, determined by an associated semi-wave problem. For the nonlocal diffusion model, a threshold condition is found in terms of the kernel functions appearing in the nonlocal diffusion terms, such that the spreading speed is finite precisely when this condition is satisfied; when this condition is not satisfied, we show that the spreading speed is infinite, namely accelerated spreading happens. This talk is based on joint works with Professor Yihong Du as well as ongoing work with both Prof. Du and Dr. Wenjie Ni.
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