Dependent random graphs and spatial epidemics
نویسندگان
چکیده
منابع مشابه
Dependent random graphs and spatial
We extend certain exponential decay results of subcritical percolation to a class of locally dependent random graphs, introduced by Kuulasmaa as models for spatial epidemics on Z d. In these models, infected individuals eventually die (are removed) and are not replaced. We combine these results with certain continuity and re-scaling arguments in order to improve our knowledge of the phase diagr...
متن کاملEpidemics on random intersection graphs
In this paper we consider a model for the spread of a stochastic SIR (Susceptible → Infectious → Recovered) epidemic on a network of individuals described by a random intersection graph. Individuals belong to a random number of cliques, each of random size, and infection can be transmitted between two individuals if and only if there is a clique they both belong to. Both the clique sizes and th...
متن کاملMultitype Randomized Reed–frost Epidemics and Epidemics upon Random Graphs
We consider a multitype epidemic model which is a natural extension of the randomized Reed–Frost epidemic model. The main result is the derivation of an asymptotic Gaussian limit theorem for the final size of the epidemic. The method of proof is simpler, and more direct, than is used for similar results elsewhere in the epidemics literature. In particular, the results are specialized to epidemi...
متن کاملMultiple Randomised Reed-Frost Epidemics and Epidemics upon Random Graphs
We consider a multitype epidemic model which is a natural extension of the randomised Reed-Frost epidemic model. The main result is the derivation of an asympotic Gaussian limit theorem for the final size of the epidemic. The method of proof is simpler, and more direct, than is used for similar results elsewhere in the epidemics literature. In particular, the results are specialised to epidemic...
متن کاملSIS epidemics on Triadic Random Graphs
It has been shown in the past that many real-world networks exhibit community structures and non-trivial clustering which comes with the occurrence of a notable number of triangular connections. Yet the influence of such connection patterns on the dynamics of disease transmission is not fully understood. In order to study their role in the context of Susceptible-Infected-Susceptible (SIS) epide...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 1998
ISSN: 1050-5164
DOI: 10.1214/aoap/1028903529