Differential equation and complex network approaches for epidemic modelling
Access Status
Open access
Authors
Date
2012Supervisor
Prof. Yong Hong Wu
Assoc. Prof. Benchawan Wiwatanapataphee
Type
Thesis
Award
PhD
Metadata
Show full item recordSchool
Department of Mathematics and Statistics
Collection
Abstract
This study consists of three parts. The first part focuses on bifurcation analysis of epidemic models with sub-optimal immunity and saturated treatment/recovery rate as well as nonlinear incidence rate. The second part of the research focuses on estimating the domain of attraction for sub-optimal immunity epidemic models. In the third part of the research, we develop a bond percolation model for community clustered networks with an arbitrarily specified joint degree distribution.
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