Limiting the spread of disease through altered migration patterns

DOI10.1016/j.jtbi.2015.12.019zbMath1343.92498arXiv1508.00293OpenAlexW2267700440WikidataQ40822627 ScholiaQ40822627MaRDI QIDQ305936

A. Shausan, Ross S. McVinish, Philip K. Pollett

Publication date: 31 August 2016

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00293

zbMATH Keywords

branching processbasic reproduction numberexpected total sizeminimax optimisation

Mathematics Subject Classification ID

Epidemiology (92D30) Minimax problems in mathematical programming (90C47) Applications of branching processes (60J85)

Uses Software

• R

Cites Work

• Unnamed Item
• Unnamed Item
• Can spatial variation alone lead to selection for dispersal?
• Differential equation approximations for Markov chains
• Non-negative matrices and Markov chains. 2nd ed
• Optimization of control strategies for epidemics in heterogeneous populations with symmetric and asymmetric transmission
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Impact of travel between patches for spatial spread of disease
• Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models
• Strong approximations for mobile population epidemic models
• Epidemic dynamics of a vector-borne disease on a villages-and-city star network with commuters
• A Multipatch Malaria Model with Logistic Growth Populations
• Convex spectral functions
• Path integrals for continuous-time Markov chains
• Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
• Some Results on Multitype Continuous Time Markov Branching Processes
• Solutions of ordinary differential equations as limits of pure jump markov processes