Extended gossip protocol for diffusion of multiple messages and its percolation probability

We show that a lower bound for the probability that a spatial general epidemic never becomes extinct is given by the percolation probability of an associated bond percolation process.

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Emphasize personal health benefits to boost COVID-19 vaccination rates

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.2108225118 ◽

2021 ◽

Vol 118 (32) ◽

pp. e2108225118

Author(s):

Madison Ashworth ◽

Linda Thunström ◽

Todd L. Cherry ◽

Stephen C. Newbold ◽

David C. Finnoff

Keyword(s):

Rapid Development ◽

Health Benefits ◽

Vaccine Safety ◽

The United States ◽

Personal Health ◽

Vaccination Rates ◽

Global Pandemic ◽

Multiple Messages ◽

National Economies ◽

The Impact

The rapid development of COVID-19 vaccines is a tremendous scientific response to the current global pandemic. However, vaccines per se do not save lives and restart economies. Their success depends on the number of people getting vaccinated. We used a survey experiment to examine the impact on vaccine intentions of a variety of public health messages identified as particularly promising: three messages that emphasize different benefits from the vaccines (personal health, the health of others, and the recovery of local and national economies) and one message that emphasizes vaccine safety. Because people will likely be exposed to multiple messages in the real world, we also examined the effect of these messages in combination. Based on a nationally quota representative sample of 3,048 adults in the United States, our findings suggest that several forms of public messages can increase vaccine intentions, but messaging that emphasizes personal health benefits had the largest impact.

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Broadcasting multiple messages in the multiport model

IEEE Transactions on Parallel and Distributed Systems ◽

10.1109/71.770196 ◽

1999 ◽

Vol 10 (5) ◽

pp. 500-508 ◽

Cited By ~ 6

Author(s):

A. Bar-Noy ◽

Ching-Tien Ho

Keyword(s):

Multiple Messages

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Exact site-percolation probability on the square lattice

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/ac4195 ◽

2021 ◽

Author(s):

Stephan Mertens

Keyword(s):

Monte Carlo ◽

Monte Carlo Simulations ◽

Percolation Threshold ◽

Percolation Cluster ◽

Square Lattice ◽

Site Percolation ◽

Exact Probability ◽

Percolation Probability ◽

A Site ◽

Time And Space Complexity

Abstract We present an algorithm to compute the exact probability $R_{n}(p)$ for a site percolation cluster to span an $n\times n$ square lattice at occupancy $p$. The algorithm has time and space complexity $O(\lambda^n)$ with $\lambda \approx 2.6$. It allows us to compute $R_{n}(p)$ up to $n=24$. We use the data to compute estimates for the percolation threshold $p_c$ that are several orders of magnitude more precise than estimates based on Monte-Carlo simulations.

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On spàtial general epidemics and bond percolation processes

Journal of Applied Probability ◽

10.1017/s0021900200037591 ◽

1984 ◽

Vol 21 (04) ◽

pp. 911-914 ◽

Cited By ~ 1

Author(s):

Kari Kuulasmaa ◽

Stan Zachary

Keyword(s):

Lower Bound ◽

Bond Percolation ◽

Percolation Process ◽

Percolation Probability ◽

Percolation Processes

We show that a lower bound for the probability that a spatial general epidemic never becomes extinct is given by the percolation probability of an associated bond percolation process.

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