scholarly journals Diffusion in crowded environments: Trapped by the drift

2021 ◽  
Vol 104 (4) ◽  
Author(s):  
Piotr Kubala ◽  
Michał Cieśla ◽  
Bartłomiej Dybiec
Keyword(s):  
2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Fane Feng ◽  
Ting Lei ◽  
Nanrong Zhao

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Sibaliwe Maku Vyambwera ◽  
Peter Witbooi

We propose a stochastic compartmental model for the population dynamics of tuberculosis. The model is applicable to crowded environments such as for people in high density camps or in prisons. We start off with a known ordinary differential equation model, and we impose stochastic perturbation. We prove the existence and uniqueness of positive solutions of a stochastic model. We introduce an invariant generalizing the basic reproduction number and prove the stability of the disease-free equilibrium when it is below unity or slightly higher than unity and the perturbation is small. Our main theorem implies that the stochastic perturbation enhances stability of the disease-free equilibrium of the underlying deterministic model. Finally, we perform some simulations to illustrate the analytical findings and the utility of the model.


Robotica ◽  
2016 ◽  
Vol 35 (5) ◽  
pp. 1176-1191
Author(s):  
Dugan Um ◽  
Dongseok Ryu

SUMMARYAs various robots are anticipated to coexist with humans in the near future, safe manipulation in unknown, cluttered environments becomes an important issue. Manipulation in an unknown environment, however, has been proven to be NP-Hard and the risk of unexpected human--robot collision hampers the dawning of the era of human--robot coexistence. We propose a non-contact-based sensitive skin as a means to provide safe manipulation hardware and interleaving planning between the workspace and the configuration space as software to solve manipulation problems in unknown, crowded environments. Novelty of the paper resides in demonstration of real time and yet complete path planning in an uncertain and crowded environment. To that end, we introduce the framework of the sensor-based interleaving planner (SBIP) whereby search completeness and safe manipulation are both guaranteed in cluttered environments. We study an interleaving mechanism between sensation in a workspace and execution in the corresponding configuration space for real-time planning in uncertain environments, thus the name interleaving planner implies.Applications of the proposed system include manipulators of a humanoid robot, surgical manipulators, and robotic manipulators working in hazardous and uncertain environments such as underwater, unexplored planets, and unstructured indoor spaces.


2021 ◽  
Vol 16 (4) ◽  
pp. 336-344
Author(s):  
Kyungseok Oh ◽  
Sunghyun Kim ◽  
Jinseop Kim ◽  
Seunghwan Lee

2016 ◽  
pp. 247-259
Author(s):  
Michael Senske ◽  
Simon Ebbinghaus ◽  
Christian Herrmann

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