Infection Spread in Random Geometric Graphs

DOI10.1239/aap/1427814586zbMath1337.60242OpenAlexW2081724238MaRDI QIDQ5246176

Ghurumuruhan Ganesan

Publication date: 17 April 2015

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aap/1427814586

zbMATH Keywords

contact processrandom geometric graphsurvival timeinfection spread

Mathematics Subject Classification ID

Epidemiology (92D30) Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05) Characterization and structure theory of statistical distributions (62E10)

Related Items (5)

Concentration for Poisson functionals: component counts in random geometric graphs ⋮ Constrained minimum passage time in random geometric graphs ⋮ Migration–contagion processes ⋮ Super-Exponential Extinction Time of the Contact Process on Random Geometric Graphs ⋮ A computational framework for evaluating the role of mobility on the propagation of epidemics on point processes

Cites Work

• Exponential extinction time of the contact process on finite graphs
• Size of the giant component in a random geometric graph
• Disjoint crossings, positive speed and deviation estimates for first passage percolation
• Contact processes on random graphs with power law degree distributions have critical value 0
• Oriented percolation in two dimensions
• First-passage percolation on the square lattice
• Closing the Gap in the Capacity of Wireless Networks Via Percolation Theory
• Random Geometric Graphs
• Continuum Percolation
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