Mathematical modeling of infectious disease dynamics

CI Siettos, L Russo - Virulence, 2013 - Taylor & Francis
Over the last years, an intensive worldwide effort is speeding up the developments in the
establishment of a global surveillance network for combating pandemics of emergent and re …

Complex networks: Structure and dynamics

S Boccaletti, V Latora, Y Moreno, M Chavez… - Physics reports, 2006 - Elsevier
Coupled biological and chemical systems, neural networks, social interacting species, the
Internet and the World Wide Web, are only a few examples of systems composed by a large …

Epidemic thresholds of the susceptible-infected-susceptible model on networks: A comparison of numerical and theoretical results

SC Ferreira, C Castellano, R Pastor-Satorras - Physical Review E—Statistical …, 2012 - APS
Recent work has shown that different theoretical approaches to the dynamics of the
susceptible-infected-susceptible (SIS) model for epidemics lead to qualitatively different …

Graph theory and networks in biology

O Mason, M Verwoerd - IET systems biology, 2007 - IET
A survey of the use of graph theoretical techniques in Biology is presented. In particular,
recent work on identifying and modelling the structure of bio-molecular networks is …

Modelling disease spread and control in networks: implications for plant sciences

MJ Jeger, M Pautasso, O Holdenrieder… - New …, 2007 - Wiley Online Library
Networks are ubiquitous in natural, technological and social systems. They are of increasing
relevance for improved understanding and control of infectious diseases of plants, animals …

Modeling the effects of social impact on epidemic spreading in complex networks

S Ni, W Weng, H Zhang - Physica A: Statistical Mechanics and its …, 2011 - Elsevier
We investigate by mean-field analysis and extensive simulations the effects of social impact
on epidemic spreading in various typical networks with two types of nodes: active nodes and …

Epidemics and immunization on Euclidean distance preferred small-world networks

WP Guo, X Li, XF Wang - Physica A: Statistical Mechanics and its …, 2007 - Elsevier
In this paper, we propose a novel Euclidean distance preferred model yielding small-world
networks in the Euclidean space, on which the epidemics dynamics is investigated. A novel …

Mathematical modeling in perspective of vector-borne viral infections: a review

R Prasad, SK Sagar, S Parveen, R Dohare - Beni-Suef University Journal …, 2022 - Springer
Background Viral diseases are highly widespread infections caused by viruses. These
viruses are passing from one human to other humans through a certain medium. The …

Influence of human motion patterns on epidemic spreading dynamics

W Gu, W Li, F Gao, S Su, B Sun, W Wang - Chaos: An Interdisciplinary …, 2024 - pubs.aip.org
Extensive real-data indicate that human motion exhibits novel patterns and has a significant
impact on the epidemic spreading process. The research on the influence of human motion …

Moment equations and dynamics of a household SIS epidemiological model

D Hiebeler - Bulletin of mathematical biology, 2006 - Springer
An SIS epidemiological model of individuals partitioned into households is studied, where
infections take place either within or between households, the latter generally happening …