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Communication and epidemic processes
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1967It is pointed out that communication processes can be represented as epidemic processes. Consequently, epidemic theory can be applied to the study of any process in which information is transmitted within a population. The members of such populations need not be human beings but could be micro-organisms or even machines.
Goffman, W., Newill, V. A.
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Branching Process Approximation of Epidemic Models
Theory of Probability & Its Applications, 1993See the review Zbl 0762.92016.
Ball, F., Donelly, P.
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Optimal Observation Times in Experimental Epidemic Processes
Biometrics, 2007SummaryThis article describes a method for choosing observation times for stochastic processes to maximise the expected information about their parameters. Two commonly used models for epidemiological processes are considered: a simple death process and a susceptible‐infected (SI) epidemic process with dual sources for infection spreading within and ...
Cook, Alex R. +2 more
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A simple batch epidemic process
Mathematical Biosciences, 1980Abstract A simplifying assumption for an epidemic process is that at most one person may become infected at any one time. However, it is quite conceivable that when an infected person makes simultaneous contact with two people, both could become infected.
Billard, L., Lacayo, H., Langberg, N. A.
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Globalization and an epidemic process
Epidemiology and Infectious Diseases, 2010The paper presents the results of analyzing the influence of major factors for globalization on the clinical and epidemiological manifestations of communicable diseases. Globalization is shown to considerably change the essence of an epidemic process and to affect its all component elements, by substantially accelerating the emergence and prevalence of
Nikolay Ivanovich Briko +3 more
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Critical properties of a superdiffusive epidemic process
Physical Review E, 2013We introduce a superdiffusive one-dimensional epidemic process model on which infection spreads through a contact process. Healthy (A) and infected (B) individuals can jump with distinct probabilities D(A) and D(B) over a distance ℓ distributed according to a power-law probability P(ℓ)[proportionality]1/ℓ(μ).
da Silva M. B +5 more
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Epidemic processes on complex networks
Physica A: Statistical Mechanics and its Applications, 2006Abstract We analyse the dynamics of the SIS and Reed–Frost models on complex networks. In contrast to most of the previous analytical work which relied on mean-field approximations and simulations, we present a probabilistic approach whereby general results are derived and illustrated on various families of graphs.
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Kinetic growth percolation: Epidemic processes with immunization
Physical Review A, 1986Nonequilibrium phase transitions of kinetic growth percolation, a kinetic growth process which exhibits a percolating-nonpercolating phase transition, are investigated on the basis of a mean-field theory and/or a real-space renormalization-group method.
, Ohtsuki, , Keyes
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An Epidemic Process in an Open Population
Nature, 1965IN general an epidemic process can be characterized as a time-dependent process of transition by the members of a population, where the state transitions are caused by exposure to some influence called infectious material. The members of the population can belong to one of three basic states at a given point in time: (a) Infective, those members of the
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