scholarly journals Heterogeneous pair-approximation for the contact process on complex networks

2014 ◽  
Vol 16 (5) ◽  
pp. 053006 ◽  
Author(s):  
Angélica S Mata ◽  
Ronan S Ferreira ◽  
Silvio C Ferreira
Keyword(s):  
Complex Networks ◽  
Contact Process ◽  
Pair Approximation

scholarly journals Discontinuous phase transition in a core contact process on complex networks

2015 ◽  
Vol 17 (2) ◽  
pp. 023039 ◽  
Author(s):  
Huiseung Chae ◽  
Soon-Hyung Yook ◽  
Yup Kim
Keyword(s):  
Phase Transition ◽  
Complex Networks ◽  
Contact Process ◽  
Discontinuous Phase

scholarly journals Optimal contact process on complex networks

2008 ◽  
Vol 78 (6) ◽  
Author(s):  
Rui Yang ◽  
Tao Zhou ◽  
Yan-Bo Xie ◽  
Ying-Cheng Lai ◽  
Bing-Hong Wang
Keyword(s):  
Complex Networks ◽  
Contact Process

scholarly journals SOME INEQUALITIES FOR THEORETICAL SPATIAL ECOLOGY

2013 ◽  
Vol 55 (1) ◽  
pp. 55-68
Author(s):  
PAUL F. SLADE
Keyword(s):  
Statistical Mechanics ◽  
Spatial Ecology ◽  
Spatial Competition ◽  
Contact Process ◽  
Spatial Dimension ◽  
Upper Bounds ◽  
Central Moment ◽  
Pair Approximation ◽  
Moment Equations ◽  
Moment Closures

AbstractInequalities for spatial competition verify the pair approximation of statistical mechanics introduced to theoretical ecology by Matsuda, Satō and Iwasa, among others. Spatially continuous moment equations were introduced by Bolker and Pacala and use a similar assumption in derivation. In the present article, I prove upper bounds for the$k\mathrm{th} $central moment of occupied sites in the contact process of a single spatial dimension. This result shows why such moment closures are effective in spatial ecology.

scholarly journals Variability of contact process in complex networks

2011 ◽  
Vol 21 (4) ◽  
pp. 043130 ◽  
Author(s):  
Kai Gong ◽  
Ming Tang ◽  
Hui Yang ◽  
Mingsheng Shang
Keyword(s):  
Complex Networks ◽  
Contact Process
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