Escape from the boundary in Markov population processes

DOI10.1239/aap/1449859806zbMath1355.92085arXiv1312.5788OpenAlexW2963492585WikidataQ57712716 ScholiaQ57712716MaRDI QIDQ2786433

Fima C. Klebaner, Kais Hamza, Haya Kaspi, Andrew David Barbour

Publication date: 12 February 2016

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

Full work available at URL: https://arxiv.org/abs/1312.5788

zbMATH Keywords

branching processboundary behaviourMarkov population process

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Continuous-time Markov processes on discrete state spaces (60J27) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (12)

The Theorem of Envelopment and Directives of Control in Resource Dependent Branching Processes ⋮ Extinction times in the subcritical stochastic SIS logistic epidemic ⋮ On the establishment of a mutant ⋮ DYNAMICS OF AN INSERTION SEQUENCE INFECTION IN A SPATIALLY STRUCTURED ENVIRONMENT ⋮ Individual and patch behaviour in structured metapopulation models ⋮ Extinction time for the weaker of two competing SIS epidemics ⋮ What can be observed in real time PCR and when does it show? ⋮ Escape from the boundary in Markov population processes ⋮ Epidemic Models with Varying Infectivity ⋮ Persistence of small noise and random initial conditions ⋮ Populations with interaction and environmental dependence: From few, (almost) independent, members into deterministic evolution of high densities ⋮ Linear competition processes and generalized Pólya urns with removals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Total variation approximation for quasi-equilibrium distributions. II
• Strong approximation theorems for density dependent Markov chains
• Non-negative matrices and Markov chains.
• Escape from the boundary in Markov population processes
• Extinction Times in Multitype Markov Branching Processes
• The duration of the closed stochastic epidemic
• Stochasticity in the adaptive dynamics of evolution: the bare bones
• Solutions of ordinary differential equations as limits of pure jump markov processes
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes

This page was built for publication: Escape from the boundary in Markov population processes