A simple model of recurrent epidemics. 1996

A Johansen
Laboratoire de Physique de la Matiere Condensee, Universite de Nice-Sophia Antipolis, France.

A cellular automaton conceived as a simple model of disease spreading is investigated. We show that the steady-state of the model is described by a spatial organization of the infectious individuals on fronts and undamped temporal oscillations in the number of infectious individuals. This behaviour is observed both for a deterministic and a stochastic input of susceptible individuals, hence showing that recurrent epidemic behaviour can be persistent without any external forcing. The simplicity of the model suggests that such spatio--temporal behaviour can be obtained from nothing, but a direct transmission mechanism between nearest neighbors provided some mechanism for the introduction of new susceptible individuals, e.g., loss of immunity is present.

UI MeSH Term Description Entries
D008433 Mathematics The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Mathematic
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D011322 Primary Prevention Specific practices for the prevention of disease or mental disorders in susceptible individuals or populations. These include HEALTH PROMOTION, including mental health; protective procedures, such as COMMUNICABLE DISEASE CONTROL; and monitoring and regulation of ENVIRONMENTAL POLLUTANTS. Primary prevention is to be distinguished from SECONDARY PREVENTION and TERTIARY PREVENTION. Prevention, Primary,Disease Prevention, Primary,Prevention, Primordial,Primordial Prevention,Disease Preventions, Primary,Preventions, Primordial,Primary Disease Prevention,Primary Disease Preventions,Primordial Preventions
D012008 Recurrence The return of a sign, symptom, or disease after a remission. Recrudescence,Relapse,Recrudescences,Recurrences,Relapses
D003198 Computer Simulation Computer-based representation of physical systems and phenomena such as chemical processes. Computational Modeling,Computational Modelling,Computer Models,In silico Modeling,In silico Models,In silico Simulation,Models, Computer,Computerized Models,Computer Model,Computer Simulations,Computerized Model,In silico Model,Model, Computer,Model, Computerized,Model, In silico,Modeling, Computational,Modeling, In silico,Modelling, Computational,Simulation, Computer,Simulation, In silico,Simulations, Computer
D004196 Disease Outbreaks Sudden increase in the incidence of a disease. The concept includes EPIDEMICS and PANDEMICS. Outbreaks,Infectious Disease Outbreaks,Disease Outbreak,Disease Outbreak, Infectious,Disease Outbreaks, Infectious,Infectious Disease Outbreak,Outbreak, Disease,Outbreak, Infectious Disease,Outbreaks, Disease,Outbreaks, Infectious Disease
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D018562 Disease Transmission, Infectious The transmission of infectious disease or pathogens. When transmission is within the same species, the mode can be horizontal or vertical (INFECTIOUS DISEASE TRANSMISSION, VERTICAL). Close-Contact Infectious Disease Transmission,Close-Contact Transmission,Community Spread,Community Transmission,Disease Superspreader Event,Disease Superspreading,Droplet Transmission of Infectious Disease,Droplet Transmission, Infectious Disease,Infectious Disease Droplet Transmission,Person-to-Person Transmission,Autochthonous Transmission,Communicable Disease Transmission,Horizontal Transmission of Infection,Horizontal Transmission of Infectious Disease,Infection Transmission,Infection Transmission, Horizontal,Infectious Disease Transmission,Infectious Disease Transmission, Horizontal,Pathogen Transmission,Pathogen Transmission, Horizontal,Transmission of Infectious Disease,Transmission, Infectious Disease,Autochthonous Transmissions,Close Contact Infectious Disease Transmission,Close Contact Transmission,Close-Contact Transmissions,Community Transmissions,Disease Superspreader Events,Disease Superspreadings,Disease Transmission, Communicable,Event, Disease Superspreader,Events, Disease Superspreader,Infection Horizontal Transmission,Person to Person Transmission,Superspreader Event, Disease,Superspreader Events, Disease,Superspreading, Disease,Superspreadings, Disease,Transmission, Autochthonous,Transmission, Close-Contact,Transmission, Communicable Disease,Transmission, Infection,Transmission, Pathogen,Transmission, Person-to-Person,Transmissions, Autochthonous,Transmissions, Community

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