Epidemic Random Network Simulations in a Distributed Computing Environment

We discuss a computational system following the paradigm of distributed computing, which will allow us to simulate the epidemic propagation in random networks with large number of nodes up to one million. This paradigm consists of a server that delivers tasks to be carried out by client computers. When the task is finished, the client sends the obtained results to the server to be stored until all tasks are finished and then ready to be analysed. Finally, we show that this technique allows us to disclose the emergence of seasonal patterns in the respiratory syncytial virus transmission dynamics which do not appear neither in smaller systems nor in continuous systems.

[1]  H. Agiza,et al.  On modeling epidemics. Including latency, incubation and variable susceptibility , 1998 .

[2]  Béla Bollobás,et al.  Random Graphs , 1985 .

[3]  W. Marsden I and J , 2012 .

[4]  Luis Acedo,et al.  Cost analysis of a vaccination strategy for respiratory syncytial virus (RSV) in a network model , 2010, Math. Comput. Model..

[5]  Herbert W. Hethcote,et al.  The Mathematics of Infectious Diseases , 2000, SIAM Rev..

[6]  A. Weber,et al.  Modeling epidemics caused by respiratory syncytial virus (RSV). , 2001, Mathematical biosciences.

[7]  J. Dushoff,et al.  Dynamical resonance can account for seasonality of influenza epidemics. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[8]  Julien Arino,et al.  A multi-species epidemic model with spatial dynamics. , 2005, Mathematical medicine and biology : a journal of the IMA.

[9]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[10]  Yaneer Bar-Yam,et al.  Dynamics Of Complex Systems , 2019 .

[11]  R. Prozorov Temperature , 1890, The Hospital.

[12]  C B Hall,et al.  Respiratory syncytial viral infection in children with compromised immune function. , 1986, The New England journal of medicine.

[13]  Sartaj Sahni,et al.  Concepts in discrete mathematics , 1981 .

[14]  Tamara J Meerhoff,et al.  Variation of Respiratory Syncytial Virus and the Relation With Meteorological Factors in Different Winter Seasons , 2009, The Pediatric infectious disease journal.

[15]  M L Martins,et al.  Cellular automata model for citrus variegated chlorosis. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  P. Cane,et al.  Understanding the transmission dynamics of respiratory syncytial virus using multiple time series and nested models , 2007, Mathematical biosciences.

[17]  N. Christakis,et al.  SUPPLEMENTARY ONLINE MATERIAL FOR: The Collective Dynamics of Smoking in a Large Social Network , 2022 .

[18]  G. Witten,et al.  Simulations of infectious diseases on networks , 2007, Comput. Biol. Medicine.

[19]  Madhav V. Marathe,et al.  EpiSimdemics: an efficient algorithm for simulating the spread of infectious disease over large realistic social networks , 2008, HiPC 2008.

[20]  D. Watts,et al.  Small Worlds: The Dynamics of Networks between Order and Randomness , 2001 .

[21]  J. Koopman,et al.  Controlling Smallpox , 2002, Science.

[22]  Leah Edelstein-Keshet,et al.  Mathematical models in biology , 2005, Classics in applied mathematics.

[23]  R. Villanueva,et al.  Mathematical modelling of respiratory syncytial virus (RSV): vaccination strategies and budget applications , 2009, Epidemiology and Infection.

[24]  Catherine H Mercer,et al.  Scale-Free Networks and Sexually Transmitted Diseases: A Description of Observed Patterns of Sexual Contacts in Britain and Zimbabwe , 2004, Sexually transmitted diseases.

[25]  Rita Maria Zorzenon dos Santos,et al.  IMMUNE RESPONSES: GETTING CLOSE TO EXPERIMENTAL RESULTS WITH CELLULAR AUTOMATA MODELS , 1999 .

[26]  J. Díez Domingo,et al.  Incidencia y costes de la hospitalización por bronquiolitis y de las infecciones , 2006 .

[27]  M. V. D. Leij The Economics of Networks: theory and empirics , 2006 .

[28]  Patrick C Phillips,et al.  Network thinking in ecology and evolution. , 2005, Trends in ecology & evolution.

[29]  R. Welliver,et al.  Temperature, Humidity, and Ultraviolet B Radiation Predict Community Respiratory Syncytial Virus Activity , 2007, The Pediatric infectious disease journal.

[30]  Shlomo Havlin,et al.  Diffusion and Reactions in Fractals and Disordered Systems: Random walks and diffusion , 2000 .

[31]  Henri Atlan,et al.  HIV time hierarchy: winning the war while, loosing all the battles , 2000, nlin/0006023.

[32]  A. Nizam,et al.  Containing Bioterrorist Smallpox , 2002, Science.

[33]  Brian McConnell,et al.  Beyond Contact: A Guide to SETI and Communicating with Alien Civilizations , 2001 .

[34]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[35]  David P. Anderson,et al.  SETI@home-massively distributed computing for SETI , 2001, Comput. Sci. Eng..

[36]  Rafael J. Villanueva,et al.  Using random networks to study the dynamics of respiratory syncytial virus (RSV) in the Spanish region of Valencia , 2011, Math. Comput. Model..

[37]  W. O. Kermack,et al.  Contributions to the mathematical theory of epidemics—I , 1991, Bulletin of mathematical biology.

[38]  Rafael J. Villanueva,et al.  The Neurona@Home project: Simulating a large-scale cellular automata brain in a distributed computing environment , 2013 .

[39]  R. Feigin,et al.  Textbook of Pediatric Infectious Diseases (Volume 1) , 1998 .

[40]  Madhav V. Marathe,et al.  EpiSimdemics: An efficient algorithm for simulating the spread of infectious disease over large realistic social networks , 2008, 2008 SC - International Conference for High Performance Computing, Networking, Storage and Analysis.

[41]  Jie Lou,et al.  The dynamics of spreading and immune strategies of sexually transmitted diseases on scale-free network , 2010 .

[42]  A. Falsey,et al.  Respiratory Syncytial Virus Infection in Adults , 2005, Clinical microbiology reviews.

[43]  N. Christakis,et al.  The Spread of Obesity in a Large Social Network Over 32 Years , 2007, The New England journal of medicine.

[44]  K. W. Cross,et al.  Mortality in children from influenza and respiratory syncytial virus , 2005, Journal of Epidemiology and Community Health.

[45]  Mason A. Porter,et al.  Social Structure of Facebook Networks , 2011, ArXiv.

[46]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.