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Skip to Search Results- 3Global stability
- 1A graph-theoretic approach
- 1Backward bifurcation
- 1Bifurcation theory
- 1Butler-McGehee Lemma
- 1CD4+ helper T-cells
- 1Heggerud, Christopher M.
- 1Lewis, Mark A.
- 1Lim, Aaron Guanliang
- 1Loewen, Charlie J. G.
- 1Ramazi, Pouria
- 1Shuai, Zhisheng
- 2Graduate and Postdoctoral Studies (GPS), Faculty of
- 2Graduate and Postdoctoral Studies (GPS), Faculty of/Theses and Dissertations
- 1Mathematical and Statistical Sciences, Department of
- 1Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
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A graph-theoretic approach to the construction of Lyapunov functions for coupled systems on networks
DownloadFall 2010
For coupled systems of differential equations on networks, a graph-theoretic approach to the construction of Lyapunov functions is systematically developed in this thesis. Kirchhoff’s Matrix-Tree Theorem in graph theory plays an essential role in the approach’s development. The approach is...
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Fall 2010
Human T-lymphotropic virus type I (HTLV-I) is a persistent human retrovirus characterized by life-long infection and risk of developing HAM/TSP, a progressive neurological and inflammatory disease. Despite extensive studies of HTLV-I, a complete understanding of the viral dynamics has been...
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2024-06-09
Heggerud, Christopher M., Xu, Jingjing, Wang, Hao, Lewis, Mark A., Zurawell, Ron W., Loewen, Charlie J. G., Vinebrooke, Rolf D., Ramazi, Pouria
Abstract (description taken from article) In this paper, we consider a diffusive-advective predator-prey system in a spatially heterogeneous environment subject to a hostile boundary condition, where the interaction term is governed by a Holling type II functional response. We investigate the...