scholarly journals Stationary solutions and spatial-temporal dynamics of a shadow system of LV competition models

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Yuanyuan Zhang ◽  
Li Xia
2015 ◽  
Vol 8 (5) ◽  
pp. 1023-1034 ◽  
Author(s):  
Tohru Tsujikawa ◽  
◽  
Kousuke Kuto ◽  
Yasuhito Miyamoto ◽  
Hirofumi Izuhara ◽  
...  

2018 ◽  
Vol 30 (1) ◽  
pp. 196-218 ◽  
Author(s):  
JULIEN SMITH-ROBERGE ◽  
DAVID IRON ◽  
THEODORE KOLOKOLNIKOV

Recent experiments have shown that patterns can emerge in bacterial colonies genetically modified to have a drop in diffusion when population densities (detected via a quorum sensing mechanism) are sufficiently large. We examine one PDE model of this system, and construct its non-constant stationary solutions in the form of an interface for the bacterial density. We derive the equations for the interface motion and demonstrate analytically that such interface solution is stable when the diffusion rate of bacteria is large and the diffusion rate of signalling molecules, Dh, is small. We further demonstrate that increasing Dh induces a Hopf bifurcation, resulting in a loss of stability, which can lead to either complex spatio-temporal dynamics or extinction of pattern altogether. These results are confirmed by numerical simulations.


Author(s):  
Thomas Kleinsorge ◽  
Gerhard Rinkenauer

In two experiments, effects of incentives on task switching were investigated. Incentives were provided as a monetary bonus. In both experiments, the availability of a bonus varied on a trial-to-trial basis. The main difference between the experiments relates to the association of incentives to individual tasks. In Experiment 1, the association of incentives to individual tasks was fixed. Under these conditions, the effect of incentives was largely due to reward expectancy. Switch costs were reduced to statistical insignificance. This was true even with the task that was not associated with a bonus. In Experiment 2, there was a variable association of incentives to individual tasks. Under these conditions, the reward expectancy effect was bound to conditions with a well-established bonus-task association. In conditions in which the bonus-task association was not established in advance, enhanced performance of the bonus task was accompanied by performance decrements with the task that was not associated with a bonus. Reward expectancy affected mainly the general level of performance. The outcome of this study may also inform recently suggested neurobiological accounts about the temporal dynamics of reward processing.


2011 ◽  
Author(s):  
M. Leonard ◽  
N. Ferjan Ramirez ◽  
C. Torres ◽  
M. Hatrak ◽  
R. Mayberry ◽  
...  

2010 ◽  
Author(s):  
Matthew G. Wisniewski ◽  
Barbara A. Church ◽  
Estella H. Liu ◽  
Eduardo Mercado

2014 ◽  
Author(s):  
Joseph Adam ◽  
Selas Jennings ◽  
Thamar Bovendeerdt ◽  
Pascal Van Gerven ◽  
Petra Hurks

2013 ◽  
Author(s):  
Hanne Schevernels ◽  
Ruth Krebs ◽  
Liesbet Van der Borght ◽  
Carsten Boehler

Sign in / Sign up

Export Citation Format

Share Document