Interplay of node connectivity and epidemic rates in the dynamics of epidemic networks

Kostova, Tanya

doi:10.1080/10236190902766835

Title: Interplay of node connectivity and epidemic rates in the dynamics of epidemic networks

Journal Article · Fri Jul 09 00:00:00 EDT 2010 · Journal of Difference Equations and Applications

DOI:https://doi.org/10.1080/10236190902766835· OSTI ID:1343012

Kostova, Tanya ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

We present and analyze a discrete-time susceptible-infected epidemic network model which represents each host as a separate entity and allows heterogeneous hosts and contacts. We establish a necessary and sufficient condition for global stability of the disease-free equilibrium of the system (defined as epidemic controllability) which defines the epidemic reproduction number of the network. When this condition is not fulfilled, we show that the system has a unique, locally stable equilibrium. As a result, we further derive sufficient conditions for epidemic controllability in terms of the epidemic rates and the network topology.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1343012

Report Number(s):: LLNL-JRNL-404031

Journal Information:: Journal of Difference Equations and Applications, Vol. 15, Issue 4; ISSN 1023-6198

Publisher:: Taylor & FrancisCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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References (13)

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Cited By (3)

When is connectivity important? A case study of the spatial pattern of sudden oak death Ellis, Alicia M.; Václavík, Tomáš; Meentemeyer, Ross K. Oikos, Vol. 119, Issue 3 https://doi.org/10.1111/j.1600-0706.2009.17918.x	journal	March 2010
Epidemic Threshold of an SIS Model in Dynamic Switching Networks Sanatkar, Mohammad Reza; White, Warren N.; Natarajan, Balasubramaniam IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol. 46, Issue 3 https://doi.org/10.1109/tsmc.2015.2448061	journal	March 2016
Connecting Network Properties of Rapidly Disseminating Epizoonotics Rivas, Ariel L.; Fasina, Folorunso O.; Hoogesteyn, Almira L. PLoS ONE, Vol. 7, Issue 6 https://doi.org/10.1371/journal.pone.0039778	journal	June 2012

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97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
99 GENERAL AND MISCELLANEOUS
epidemic network
network dynamics
connectivity
epidemic control
dynamical system
reproduction number

Title: Interplay of node connectivity and epidemic rates in the dynamics of epidemic networks

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