Hamiltonian dynamics of the SIS epidemic model with stochastic fluctuations

GM Nakamura, AS Martinez - Scientific reports, 2019 - nature.com
Empirical records of epidemics reveal that fluctuations are important factors for the spread
and prevalence of infectious diseases. The exact manner in which fluctuations affect …

On the basic reproduction number and the topological properties of the contact network: An epidemiological study in mainly locally connected cellular automata

PHT Schimit, LHA Monteiro - Ecological modelling, 2009 - Elsevier
We study the spreading of contagious diseases in a population of constant size using
susceptible-infective-recovered (SIR) models described in terms of ordinary differential …

SEIR-SW, simulation model of influenza spread based on the Small World network

FZ Younsi, A Bounnekar, D Hamdadou… - Tsinghua Science …, 2015 - ieeexplore.ieee.org
This study modeled the spread of an influenza epidemic in the population of Oran, Algeria.
We investigated the mathematical epidemic model, SEIR (Susceptible-Exposed-Infected …

An agent-based computational model of the spread of tuberculosis

AL De Espíndola, CT Bauch, BCT Cabella… - Journal of Statistical …, 2011 - iopscience.iop.org
In this work we propose an alternative model of the spread of tuberculosis (TB) and the
emergence of drug resistance due to the treatment with antibiotics. We implement the …

Small-world effect in epidemics using cellular automata

HF Gagliardi, D Alves - Mathematical Population Studies, 2010 - Taylor & Francis
The spread of an infectious disease in a population involves interactions leading to an
epidemic outbreak through a network of contacts. Extending on Watts and Strogatz who …

SARS epidemical forecast research in mathematical model

D Guanghong, L Chang, G Jianqiu, W Ling, C Ke… - Chinese Science …, 2004 - Springer
The SIJR model, simplified from the SEIJR model, is adopted to analyze the important
parameters of the model of SARS epidemic such as the transmission rate, basic …

Research on the emerging mechanism of complex networks community dividing based on cellular automata

X Qian, Y Luo, P Zhang - International Journal of Modelling …, 2022 - inderscienceonline.com
At present, there is no research on the use of cellular automata for the study of complex
network community division. This paper takes the complex network as the research object …

A branching random-walk model of disease outbreaks and the percolation backbone

PMC de Oliveira, DA Stariolo… - Journal of Physics A …, 2022 - iopscience.iop.org
The size and shape of the region affected by an outbreak is relevant to understand the
dynamics of a disease and help to organize future actions to mitigate similar events. A …

On estimating the basic reproduction number in distinct stages of a contagious disease spreading

PHT Schimit, LHA Monteiro - Ecological Modelling, 2012 - Elsevier
In epidemiology, the basic reproduction number R0 is usually defined as the average
number of new infections caused by a single infective individual introduced into a …

Automata network simulator applied to the epidemiology of urban dengue fever

HF Gagliardi, FAB da Silva, D Alves - … , Reading, UK, May 28-31, 2006 …, 2006 - Springer
The main goal this paper is to describe a software simulating spatio-temporal Dengue
epidemic spread based on the utilization of a generalized probabilistic cellular automata …