@Article{JNMA-6-435,
author = {Ibrahim , SlimLi , MeiliMa , Junling and Manke , Kurtis},
title = {Threshold of Effective Degree SIR Model},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {2},
pages = {435--452},
abstract = {<p style="text-align: justify;">The effective degree SIR model is a precise model for the SIR disease dynamics on a network. The original ODE model is only applicable for
a network with finite degree distributions. The new generating function approach rewrites with model as a PDE and allows infinite degree distributions.
In this paper, we first prove the existence of a global solution. Then we analyze
the linear and nonlinear stability of the disease-free steady state of the PDE
effective degree model, and show that the basic reproduction number still determines both the linear and the nonlinear stability. Our method also provides
a new tool to study the effective degree SIS model, whose basic reproduction
number has been elusive so far.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.435},
url = {http://global-sci.org/intro/article_detail/jnma/23184.html}
}