2017 CMS Winter Meeting

Waterloo, December 8 - 11, 2017


Dynamics of Microbial Systems
Org: Gail Wolkowicz (McMaster University)

MARY BALLYK, new Mexico State University

HERMANN EBERL, University of Guelph

Fighting HIV with viruses: the benefit of GB virus C on the health burden of AIDS  [PDF]

Highly active antiretroviral therapy has revolutionized the battle against HIV/AIDS. From its current global rollout, HIV/AIDS morbidity and mortality has been greatly reduced, yet substantial interest exists in the development of new therapies to further mitigate the HIV/AIDS health burden, and to inhibit fallout from the development of antiretroviral drug resistance. One potential therapy under recent deliberation is GB virus C (GBV-C). GBV-C is a virus that does not cause disease, and most remarkably is clinically shown to delay the progression of HIV to AIDS. \newline \newline In this talk, we illustrate the utility of GBV-C inoculation for mitigating the health burden of AIDS using mathematical models. Our results show that, even in the face of GBV-C virulence evolution, GBV-C inoculation can be an effective therapy for reducing AIDS morbidity and mortality.

TING-HAO HSU, McMaster University

DANIEL KORYTOWSKI, Fields Posrdoc and McMaster University

CHIU-JU LIN, McMaster University

SHIGUI RUAN, The University of Miami

ZHISHENG SHUAI, University of Central Florida

MATTHEW WADE, Notingham University, UK

MARION WEEDERMANN, Dominican University

XIAOQIANG ZHAO, Memorial University of Newfoundland
A Reaction-Diffusion Model of Harmful Algae and Zooplankton in An Ecosystem  [PDF]

In this talk, I will report our recent research on an unstirred chemostat system modeling the interactions of two essential nutrients (i.e., nitrogen and phosphorus), harmful algae (i.e., P. parvum and cyanobacteria), and a small-bodied zooplankton in an ecosystem. To obtain a weakly repelling property of a compact and invariant set on the boundary, we introduce an associated elliptic eigenvalue problem. It turns out that the model system admits a coexistence steady state and is uniformly persistent provided that the trivial steady state, two semi-trivial steady states and a global attractor on the boundary are all weak repellers. This talk is based on a joint work with Drs. Sze-Bi Hsu and Feng-Bin Wang.

HUAIPING ZHU, York University


Centre de recherches mathématiques Pacific Institute for the Mathematical Sciences Fields Institute AARMS: Atlantic Association for Research in the Mathematical Sciences University of Waterloo

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