Optimal control of a fractional order model for granular SEIR epidemic with uncertainty [0.03%]
不确定条件下粒度SEIR流行病分数阶模型的最优控制问题研究
Nguyen Phuong Dong,Hoang Viet Long,Alireza Khastan
Nguyen Phuong Dong
In this study, we present a general formulation for the optimal control problem to a class of fuzzy fractional differential systems relating to SIR and SEIR epidemic models. In particular, we investigate these epidemic models in the uncerta...
Veniamin Smirnov,Zhuanzhuan Ma,Dimitri Volchenkov
Veniamin Smirnov
An event is extreme if its magnitude exceeds the threshold. A choice of a threshold is subject to uncertainty caused by a method, the size of available data, a hypothesis on statistics, etc. We assess the degree of uncertainty by the Shanno...
Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China [0.03%]
考虑未检测感染的冠状病毒疾病2019（COVID-19）传播的数学建模：中国的情况
B Ivorra,M R Ferrández,M Vela-Pérez et al.
B Ivorra et al.
In this paper we develop a mathematical model for the spread of the coronavirus disease 2019 (COVID-19). It is a new θ-SEIHRD model (not a SIR, SEIR or other general purpose model), which takes into account the known special characteristic...
Topological data analysis to model the shape of immune responses during co-infections [0.03%]
用于联合感染期间建模免疫反应形状的拓扑数据分析
Karin Sasaki,Dunja Bruder,Esteban A Hernandez-Vargas
Karin Sasaki
Co-infections by multiple pathogens have important implications in many aspects of health, epidemiology and evolution. However, how to disentangle the non-linear dynamics of the immune response when two infections take place at the same tim...
Effects of awareness diffusion and self-initiated awareness behavior on epidemic spreading - An approach based on multiplex networks [0.03%]
基于多层网络的 Awareness 扩散和自发行为对传染病传播的影响研究
Jia-Qian Kan,Hai-Feng Zhang
Jia-Qian Kan
In this paper, we study the interplay between the epidemic spreading and the diffusion of awareness in multiplex networks. In the model, an infectious disease can spread in one network representing the paths of epidemic spreading (contact n...
Weighted multifractal cross-correlation analysis based on Shannon entropy [0.03%]
基于香农熵的加权多重分形交叉相关分析
Hui Xiong,Pengjian Shang
Hui Xiong
In this paper, we propose a modification of multifractal cross-correlation analysis based on statistical moments (MFSMXA) method, called weighted MFSMXA method based on Shannon entropy (W-MFSMXA), to investigate cross-correlations and cross...
Epidemic spreading on hierarchical geographical networks with mobile agents [0.03%]
具有移动智能体的分形地理网络上的流行病传播
Xiao-Pu Han,Zhi-Dan Zhao,Tarik Hadzibeganovic et al.
Xiao-Pu Han et al.
Hierarchical geographical traffic networks are critical for our understanding of scaling laws in human trajectories. Here, we investigate the susceptible-infected epidemic process evolving on hierarchical networks in which agents randomly w...
FRACTAL DIMENSION ESTIMATION WITH PERSISTENT HOMOLOGY: A COMPARATIVE STUDY [0.03%]
基于持续同调的分形维数估计之比较研究
Jonathan Jaquette,Benjamin Schweinhart
Jonathan Jaquette
We propose that the recently defined persistent homology dimensions are a practical tool for fractal dimension estimation of point samples. We implement an algorithm to estimate the persistent homology dimension, and compare its performance...
Predicting seizure by modeling synaptic plasticity based on EEG signals - a case study of inherited epilepsy [0.03%]
基于EEG信号建模突触可塑性以预测癫痫发作——一个遗传性癫痫病例研究
Honghui Zhang,Jianzhong Su,Qingyun Wang et al.
Honghui Zhang et al.
This paper explores the internal dynamical mechanisms of epileptic seizures through quantitative modeling based on full brain electroencephalogram (EEG) signals. Our goal is to provide seizure prediction and facilitate treatment for epilept...
A matrix-based approach to solving the inverse Frobenius-Perron problem using sequences of density functions of stochastically perturbed dynamical systems [0.03%]
基于随机动力系统的密度函数序列的逆Frobenius-Perron问题的矩阵解法研究
Xiaokai Nie,Daniel Coca
Xiaokai Nie
The paper introduces a matrix-based approach to estimate the unique one-dimensional discrete-time dynamical system that generated a given sequence of probability density functions whilst subjected to an additive stochastic perturbation with...