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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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Mobility and Epidemic Process in Temporal Networks
Proceedings of the Second International Conference on Advanced Wireless Information, Data, and Communication Technologies, 2017Complex networks are distinguished to have a particular structure due to its large dimension and its many interactions, which play an important role in its characteristic. In fact, these networks are the locus of many dynamical phenomena such as birth of community, opinion formation, information diffusion, and rumors or epidemic spreading and so on ...
Djibril Mboup, Chérif Diallo, Moussa Lo
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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 New Diffusion Process to Epidemic Data
2013In this paper, a new non-homogeneous diffusion process is introduced, which is a combination between a Gompertz-type and a lognormal diffusion process, so that the mean function is a mixture between Gompertz and exponential curves. The main innovation of the process is that the trend, after reaches a bound, changes to be increasing or decreasing to ...
Desirée Romero +2 more
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Stochastic control of an epidemic process
International Journal of Systems Science, 1994An optimal control problem for a susceptible → infective → removal type epidemic process is formulated and then it is shown how a control procedure can be obtained so that the expected final size of the epidemic can be adaptively minimized.
HAIYAN CAI, XIAOLONG LUO
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The system of the epidemic process.
Journal of hygiene, epidemiology, microbiology, and immunology, 1989An original social-ecological concept of the epidemic process has been constructed on the basis of using social ecology, systemic approach and the basic principles of cybernetics. According to this concept, the epidemic process is regarded as a biosocial, hierarchic, integral system providing for the reproduction of the species of human parasites. At a
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Complete observation of the epidemic process
2000In this chapter we assume that the standard SIR epidemic process E n,m (λ, I) is observed completely. By complete observation is meant that the infection times τ i and removal times ρ i (hence also the length of the infectious period I i =ρi-τi for formulas to be consistent.
Håkan Andersson, Tom Britton
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Approximate Testing in Uncertain Epidemic Processes
2022 IEEE 61st Conference on Decision and Control (CDC), 2022Xiaoqi Bi +3 more
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