Zhu, YuWang, LiangQiu, Zhipeng
17页查看更多>>摘要：In this paper, a stochastic cholera epidemic model subjected to a Brownian motion noise and a Levy jump process noise is formulated. The asymptotic behaviors around the equilibriums of the corresponding deterministic model are investigated. It is shown that the expected time average of the distance between the stochastic solution and the equilibriums of the associated deterministic model is small when the noise intensities are small, and the solution will oscillate around these steady states. The amplitude of vibration not only depends on the intensities of the Brownian motion noise but also the Levy noise. Numerical examples are carried out to illustrate the theoretical results. (c) 2022 Elsevier B.V. All rights reserved.
原文链接:
NSTL
Elsevier
Zhang, LimingLi, HaihongDai, QionglinYang, Junzhong...
9页查看更多>>摘要：Human beings and natural creatures often migrate in search of better environments. When both local and global environments can be perceived by individuals, they may determine whether to migrate or not based on the comparison. If the individuals realize the local environments are worse than the global ones, they are more likely to leave their original place. Otherwise, they may choose to stay still. Considering these, we study the evolutionary games in a dynamically changing population on a square lattice, in which the players migrate based on the comparison between local and global environments. The simulation results show that cooperation can be significantly promoted. By examining the strategy patterns during the evolution, we find there exist two evolutionary stages that account for the enhancement of cooperation. One is the clustering of cooperators, in which cooperator clusters get strengthened by slow migration of cooperators and fast migration of defectors. The other is the coalescence of cooperator clusters, which induces further increment of the cooperation level. Besides, we investigate the effects of two different types of noises on cooperation, which are introduced in migration and in strategy imitation, respectively. The results reveal that cooperation could be enhanced by low migration noise whereas high strategy-adoption noise.(c) 2022 Elsevier B.V. All rights reserved.
原文链接:- NSTL
- Elsevier
Davis, SergioPeralta, JoaquinLoyola, Claudia
9页查看更多>>摘要：Homogeneous melting of a crystal is mediated by forming a metastable solid phase, in which vacancy-interstitial pairs and other more complex defects are created, as shown by microcanonical computer simulation during the last two decades. Additionally, highly inhomogeneous melting has gained the most interest because of its presence in experiments, such as laser impact. Understanding the fundamentals of this highly inhomogeneous melting will allow us to project these phenomena both to theory and applied cases. In this work, we present evidence via molecular dynamics simulations of a metastable solid phase in BCC tungsten produced from a highly inhomogeneous, nonequilibrium initial condition where a single atom contributes kinetic energy of approximately 0.74 keV. Despite the striking difference between this highly inhomogeneous energy injection and homogeneous melting (as is implemented, for instance, in the Z-method), the obtained critical superheated solid-state has a lifetime reaching up to 200 ps and can be described by a waiting time distribution, in qualitative agreement with previous studies on superheating (C) 2022 Elsevier B.V. All rights reserved.
原文链接:- NSTL
- Elsevier
