Integrating stochastic chemotaxis-haptotaxis mechanisms in cancer invasion: A multiscale derivation and computational perspective [0.03%]
整合随机趋化-附着机制在癌症侵袭中的作用：多尺度推导与计算视角
Abdelghafour Atlas,Mostafa Bendahmane,Fahd Karami et al.
Abdelghafour Atlas et al.
This paper deals with the multiscale derivation of a nonlinear stochastic chemotaxis-haptotaxis system of cancerous tissue invasion from a new stochastic kinetic theory model based on the micro-macro decomposition technique. We show that th...
A fatigue driving detection method based on local maximum refined composite multi-scale normalized dispersion entropy and SVM [0.03%]
基于局部最大精化复合多尺度标准化离散熵和支持向量机的疲劳驾驶检测方法
Zhanghong Wang,Haitao Zhu,Huaquan Chen et al.
Zhanghong Wang et al.
Multi-scale dispersion entropy (MDE) has been extensively applied to capture the nonlinear features of electroencephalography (EEG) signals for fatigue driving detection. However, MDE suffers from information loss and limited robustness dur...
Considering experimental frame rates and robust segmentation analysis of piecewise-linear microparticle trajectories [0.03%]
考虑实验帧率和分段线性微粒轨迹的鲁棒分割分析
Keisha J Cook,Nathan Rayens,Linh Do et al.
Keisha J Cook et al.
The movement of intracellular cargo transported by molecular motors is commonly marked by switches between directed motion and stationary pauses. The predominant measure for assessing movement is effective diffusivity, which predicts the me...
Stability and bifurcation analysis in predator-prey system involving Holling type-II functional response [0.03%]
含有Holling型II功能反应的捕食者-食饵系统中的稳定性与分支分析
Jocirei D Ferreira,Wilmer L Molina,Jhon J Perez et al.
Jocirei D Ferreira et al.
In this article, we focused on the study of codimension-one Hopf bifurcations and the associated Lyapunov stability coefficients in the context of general two-dimensional reaction-diffusion systems defined on a finite fixed-length segment. ...
Mathematical models to characterize the early phase of the COVID-19 pandemic in New Mexico, USA [0.03%]
美国新墨西哥州COVID-19大流行早期阶段的数学建模特征研究
Annika Vestrand,Gilberto González-Parra
Annika Vestrand
In this paper, we use a variety of mathematical models to characterize the early phase of the COVID-19 pandemic in New Mexico. We use both empirical and mechanistic models based on differential equations to examine the dynamics of the pande...
A meta-population model of malaria with asymptomatic cases, transmission blocking drugs, migration and screening [0.03%]
一个包含无症状感染、传播阻断药物、移民和筛查的疟疾元群体模型
S Y Tchoumi,J Banasiak,R Ouifki
S Y Tchoumi
We consider a two-Patch malaria model, where the individuals can freely move between the patches. We assume that one site has better resources to fight the disease, such as screening facilities and the availability of transmission-blocking ...
Dynamics of stochastic diffusive coral reef ecosystems with Lévy noise [0.03%]
Levy噪声下的随机扩散珊瑚礁生态系统的动力学
Zaitang Huang,Zhiye Zhong,Yousu Huang et al.
Zaitang Huang et al.
This paper was mainly concerned with the asymptotic dynamics of stochastic diffusive coral reef ecosystems with Lévy noise. First, we proved the well-posedness and energy estimates of solution. Second, under some suitable conditions, we pr...
Stable periodic solutions of a delayed reaction-diffusion model of Hes1-mRNA interactions [0.03%]
具时滞的Hes1-mRNA相互作用反应扩散模型的稳定周期解
Mohammed Alanazi,Majid Bani-Yaghoub,Bi-Botti C Youan
Mohammed Alanazi
Hes1 (Hairy and enhancer of split 1) is a transcriptional repressor that plays a fundamental role in the regulation of embryogenesis and cell lineage specification. The temporal dynamics of Hes1 mRNA and Hes1 protein expression are known to...
Cooperation-conflict dynamics and ecological resilience under environmental disturbances [0.03%]
干扰环境下合作-冲突动力学及生态恢复力关系研究
Suvranil Chowdhury,Sujit Halder,Kaushik Kayal et al.
Suvranil Chowdhury et al.
Ecosystem stability is increasingly threatened by rapid environmental fluctuations that alter species interactions and survival strategies. Traditional steady-state analyses often overlook transient dynamics that govern ecosystem responses ...
On the rate of clinical AIDS on diagnosis: The mathematical interpretation and goal for the successful control of HIV/AIDS [0.03%]
诊断时临床艾滋病的发展速度：艾滋病毒/艾滋病成功控制的数学解释及目标
Seiko Fujiwara,Hiroshi Nishiura
Seiko Fujiwara
The most widely used measurement of transmission dynamics in real time is the effective reproduction number $ R/left(t/right) $. However, in the context of human immunodeficiency virus (HIV)/acquired immunodeficiency syndrome (AIDS), $ R/le...