The probability of extinction of infectious salmon anemia virus in one and two patches

DOI10.1007/s11538-017-0355-5zbMath1380.92058arXiv1611.04406OpenAlexW2767085350WikidataQ45325348 ScholiaQ45325348MaRDI QIDQ1696395

Evan Milliken

Publication date: 14 February 2018

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04406

zbMATH Keywords

basic reproduction numbermetapopulationmultitype branching processcontinuous time Markov chainprobability of extinctionembedded chain

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (8)

Bistability in deterministic and stochastic SLIAR-type models with imperfect and waning vaccine protection ⋮ The distribution of the time taken for an epidemic to spread between two communities ⋮ Disease emergence in multi-patch stochastic epidemic models with demographic and seasonal variability ⋮ Stochastic models in seed dispersals: random walks and birth–death processes ⋮ Local approximation of Markov chains in time and space ⋮ Slosh analyzes of a full vehicle-tank model with SDRE control with a hydraulic damper ⋮ Applications of the fundamental matrix to mean absorption and conditional mean absorption problems ⋮ Effect of movement on the early phase of an epidemic

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A model of infectious salmon anemia virus with viral diffusion between wild and farmed patches
• Probability of a disease outbreak in stochastic multipatch epidemic models
• The probability of extinction in a bovine respiratory syncytial virus epidemic model
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Stochastic epidemic models: a survey
• Uniform persistence and chain recurrence
• Uniform persistence and flows near a closed positively invariant set
• Strong approximations for epidemic models
• Modeling and analysis of a marine bacteriophage infection
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models
• Extinction thresholds in deterministic and stochastic epidemic models
• The threshold behaviour of epidemic models
• Uniformly Persistent Systems
• Uniformly Persistent Semidynamical Systems
• Uniform Persistence and Repellors for Maps
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• In the Garden of Branching Processes
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
• Branching processes in biology

This page was built for publication: The probability of extinction of infectious salmon anemia virus in one and two patches