Front dynamics in a two-species competition model driven by Lévy flights

2012 ◽  
Vol 300 ◽  
pp. 134-142 ◽  
Author(s):  
Emmanuel Hanert
Keyword(s):  
Competition Model ◽  
Species Competition ◽  
Lévy Flights ◽  
Model Driven ◽  
Levy Flights ◽  
Front Dynamics

scholarly journals Fronts in anomalous diffusion–reaction systems

2013 ◽  
Vol 371 (1982) ◽  
pp. 20120179 ◽  
Author(s):  
V. A. Volpert ◽  
Y. Nec ◽  
A. A. Nepomnyashchy
Keyword(s):  
Anomalous Diffusion ◽  
Diffusion Reaction ◽  
Lévy Flights ◽  
Reaction Systems ◽  
Unstable Phase ◽  
Levy Flights ◽  
Recent Developments ◽  
Front Dynamics

A review of recent developments in the field of front dynamics in anomalous diffusion–reaction systems is presented. Both fronts between stable phases and those propagating into an unstable phase are considered. A number of models of anomalous diffusion with reaction are discussed, including models with Lévy flights, truncated Lévy flights, subdiffusion-limited reactions and models with intertwined subdiffusion and reaction operators.

scholarly journals Survival probability of random walks and Lévy flights on a semi-infinite line

2017 ◽  
Vol 50 (46) ◽  
pp. 465002 ◽  
Author(s):  
Satya N Majumdar ◽  
Philippe Mounaix ◽  
Grégory Schehr
Keyword(s):  
Random Walks ◽  
Survival Probability ◽  
Lévy Flights ◽  
Levy Flights ◽  
Infinite Line

scholarly journals First Order Transition for the Optimal Search Time of Lévy Flights with Resetting

2014 ◽  
Vol 113 (22) ◽  
Author(s):  
Lukasz Kusmierz ◽  
Satya N. Majumdar ◽  
Sanjib Sabhapandit ◽  
Grégory Schehr
Keyword(s):  
Search Time ◽  
Order Transition ◽  
Optimal Search ◽  
Lévy Flights ◽  
First Order ◽  
Levy Flights ◽  
First Order Transition
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