A general random walk model for the leptokurtic distribution of organism movement: Theory and application

2007 ◽  
Vol 200 (1-2) ◽  
pp. 79-88 ◽  
Author(s):  
Xiaoxian Zhang ◽  
Scott N. Johnson ◽  
John W. Crawford ◽  
Peter J. Gregory ◽  
Iain M. Young
1997 ◽  
Vol 56 (1) ◽  
pp. 919-922 ◽  
Author(s):  
Y. Z. Chen ◽  
Dong Mi ◽  
He-Shang Song ◽  
Xian-Ju Wang

Author(s):  
James M. Hill ◽  
Barry D. Hughes

AbstractA general discrete multi-dimensional and multi-state random walk model is proposed to describe the phenomena of diffusion in media with multiple diffusivities. The model is a generalization of a two-state one-dimensional discrete random walk model (Hill [8]) which gives rise to the partial differential equations of double diffusion. The same partial differential equations are shown to emerge as a special case of the continuous version of the present general model. For two states a particular generalization of the model given in [8] is presented which is not restricted to nearest neighbour transitions. Under appropriate circumstances this two-state model still yields the partial differential equations of double diffusion in the continuum limit, but an example of circumstances leading to a radically different continuum limit is presented.


2003 ◽  
Vol 40 (2) ◽  
pp. 237-240
Author(s):  
Wang Xian-Ju ◽  
Ai Bao-Quan ◽  
Liu Guo-Tao ◽  
Liu Liang-Gang

2010 ◽  
Vol 33 (8) ◽  
pp. 1418-1426 ◽  
Author(s):  
Wei ZHENG ◽  
Chao-Kun WANG ◽  
Zhang LIU ◽  
Jian-Min WANG

2021 ◽  
Vol 34 (4) ◽  
Author(s):  
M. Muge Karaman ◽  
Jiaxuan Zhang ◽  
Karen L. Xie ◽  
Wenzhen Zhu ◽  
Xiaohong Joe Zhou

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