A predator-prey SIR type dynamics on large complete graphs with three phase transitions

DOI10.1016/j.spa.2014.10.005zbMath1334.60181arXiv1312.5678OpenAlexW2963755939WikidataQ115566908 ScholiaQ115566908MaRDI QIDQ2253848

Igor Kortchemski

Publication date: 13 February 2015

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5678

zbMATH Keywords

complete graphscouplingYule processpredator-prey dynamicschase-escape processAthreya-Karlin embeddingSIR dynamics

Mathematics Subject Classification ID

Epidemiology (92D30) Central limit and other weak theorems (60F05) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) (L^p)-limit theorems (60F25)

Related Items (10)

Predator-prey dynamics on infinite trees: a branching random walk approach ⋮ Chase-escape on the configuration model ⋮ Coexistence in chase-escape ⋮ Phase transitions for chase-escape models on Poisson-Gilbert graphs ⋮ Markov chain models for cardiac rhythm dynamics in patients undergoing catheter ablation of atrial fibrillation ⋮ Analysis of a spatially inhomogeneous stochastic partial differential equation epidemic model ⋮ Asymptotic properties of a stochastic SIR epidemic model with Beddington-DeAngelis incidence rate ⋮ Classification of Asymptotic Behavior in a Stochastic SIR Model ⋮ Long-Term Analysis of a Stochastic SIRS Model with General Incidence Rates ⋮ Chase-escape with death on trees

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