Damage spreading in two-dimensional trivalent cellular structures with competing Glauber and Kawasaki dynamics

Guo, Zizheng; Szeto, Kwok Yip

doi:10.1103/physreve.71.066115

Cited by 10 publications

(7 citation statements)

References 21 publications

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“…In this connection, the actual location where isolation and quarantine measures are applied is important, as recently discussed in ref [13]. The details of the dynamics process of virus spreading can also be further investigated in networks of various topologies using techniques in nonequilibrium statistical physics [14][15][16].…”

Section: Discussionmentioning

confidence: 99%

Optimal Time Delay in the Control of Epidemic

Wang

Szeto

Leung

2009

Nature Inspired Cooperative Strategies for Optimization (NICSO 2008)

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A mathematical model to address the efficiency of the isolation and quarantine strategies in the containment of epidemics is constructed based on the SIR model with time delay. The model is investigated with numerical simulation that demonstrates the importance of quick measure in identifying the infected and the subsequent quarantine of his/her neighbors. The model also provides a theoretical framework for the estimation of the cost involved in the containment of the epidemics. Based on a general estimate of the cost, we demonstrate the procedure for the calculation of the optimal set of parameters in our isolation and quarantine strategy through numerical simulation on a model social network. We find an important parameter π which is a combination of several general parameters for the SIR model so that when π >0, the isolation and quarantine strategy will fail to contain the outbreak. The procedure outlined provides some general guidance in the selection of strategies in the containment of real epidemics, where the balance between social cost and risk must be carefully handled.

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Section: Discussionmentioning

confidence: 99%

Optimal Time Delay in the Control of Epidemic

Wang

Szeto

Leung

2009

Nature Inspired Cooperative Strategies for Optimization (NICSO 2008)

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“…Although our numerical works are performed on the hexagonal lattice, we expect our findings to be generally applicable to the Voronoi diagrams constructed from random point patterns in two-dimension. This expectation is based on our recent work on damage spreading in various kinds of two-dimensional cellular structures [13][14][15].…”

Section: Model In Two-dimensionmentioning

confidence: 98%

Topology for Dominance for Network of Multi-Agent System

Szeto¹

2007

AIP Conference Proceedings

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The resource allocation problem in evolving two-dimensional point patterns is investigated for the existence of good strategies for the construction of initial configuration that leads to fast dominance of the pattern by one single species, which can be interpreted as market dominance by a company in the context of multi-agent systems in econophysics. For hexagonal lattice, certain special topological arrangements of the resource in two-dimensions, such as rings, lines and clusters have higher probability of dominance, compared to random pattern. For more complex networks, a systematic way to search for a stable and dominant strategy of resource allocation in the changing environment is found by means of genetic algorithm. Five typical features can be summarized by means of the distribution function for the local neighborhood of friends and enemies as well as the local clustering coefficients: (l)The winner has more triangles than the loser has.(2) The winner likes to form clusters as the winner tends to connect with other winner rather than with losers; while the loser tends to connect with winners rather than losers. (3) The distribution function of friends as well as enemies for the winner is broader than the corresponding distribution function for the loser. (4) The connectivity at which the peak of the distribution of friends for the winner occurs is larger than that of the loser ; while the peak values for friends for winners is lower. (5) The connectivity at which the peak of the distribution of enemies for the winner occurs is smaller than that of the loser ; while the peak values for enemies for winners is lower. These five features appear to be general, at least in the context of two-dimensional hexagonal lattices of various sizes, hierarchical lattice, Voronoi diagrams, as well as high-dimensional random networks. These general local topological properties of networks are relevant to strategists aiming at dominance in evolving patterns when the interaction between the agents is local.

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“…In the past decades, the study of mixed conservative-nonconservative dynamics has been carried on different systems, e.g., the Ising [30,33,34] and DLG models [28,35], also including damage spreading [30][31][32].…”

Section: Mixed Dlg Modelmentioning

confidence: 99%

“…Finally, it is important to remark that further studies of DS have been performed on mixed dynamic models [30][31][32], but all of them were based on the Ising model. To the best of our knowledge, this is the first time that DS has been studied in a mixed-dynamic nonequilibrium model based on the DLG model.…”

Section: Introductionmentioning

confidence: 99%