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A new nonmonotone adaptive trust region line search method for unconstrained optimization 一种新的无约束优化的非单调自适应信赖域线搜索方法
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2020-04-10 DOI: 10.1186/s13362-020-00080-6
Xinyi Wang, Xianfeng Ding, Quan Qu
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引用次数: 1
Modeling the transmission dynamics of varicella in Hungary 匈牙利水痘传播动力学建模
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2020-04-10 DOI: 10.1186/s13362-020-00079-z
János Karsai, Rita Csuma-Kovács, Ágnes Dánielisz, Zsuzsanna Molnár, János Dudás, Teodóra Borsos, Gergely Röst
Vaccines against varicella-zoster virus (VZV) are under introduction in Hungary into the routine vaccination schedule, hence it is important to understand the current transmission dynamics and to estimate the key parameters of the disease. Mathematical models can be greatly useful in advising public health policy decision making by comparing predictions for different scenarios. First we consider a simple compartmental model that includes key features of VZV such as latency and reactivation of the virus as zoster, and exogeneous boosting of immunity. After deriving the basic reproduction number $R_{0}$, the model is analysed mathematically and the threshold dynamics is proven: if $R_{0}leq 1$ then the virus will be eradicated, while if $R_{0}>1$ then an endemic equilibrium exists and the virus uniformly persists in the population. Then we extend the model to include seasonality, and fit it to monthly incidence data from Hungary. It is shown that besides the seasonality, the disease dynamics has intrinsic multi-annual periodicity. We also investigate the sensitivity of the model outputs to the system parameters and the underreporting ratio, and provide estimates for $R_{0}$.
匈牙利正在将水痘带状疱疹病毒(VZV)疫苗引入常规疫苗接种计划，因此了解当前的传播动态并估计该疾病的关键参数非常重要。通过比较不同情景的预测，数学模型在为公共卫生政策决策提供建议方面非常有用。首先，我们考虑一个简单的区室模型，其中包括VZV的关键特征，如病毒的潜伏期和带状疱疹的再激活，以及外源性免疫增强。在得到基本繁殖数$R_{0}$后，对模型进行数学分析，并证明了阈值动力学:如果$R_{0}leq 1$，则病毒将被根除，而如果$R_{0}>1$，则存在一种地方性平衡，病毒在人群中均匀地持续存在。然后，我们将模型扩展到包括季节性因素，并将其拟合到匈牙利的每月发病率数据中。结果表明，除季节性外，病害动态还具有内在的多年周期性。我们还研究了模型输出对系统参数和漏报率的敏感性，并提供了$R_{0}$的估计。
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引用次数: 7
A projected primal-dual gradient optimal control method for deep reinforcement learning 一种用于深度强化学习的投影原对偶梯度最优控制方法
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2020-04-07 DOI: 10.1186/s13362-020-00075-3
Simon Gottschalk, M. Burger, M. Gerdts
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引用次数: 0
Inventory models with reverse logistics for assets acquisition in a liquefied petroleum gas company 某液化石油气公司资产收购的逆向物流库存模型
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2020-04-07 DOI: 10.1186/s13362-020-00078-0
Cristina Lopes, Aldina Correia, Eliana Costa e Silva, Magda Monteiro, Rui Borges Lopes
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引用次数: 4
Uncertainty quantification with risk measures in production planning 生产计划中不确定性量化与风险度量
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2020-02-18 DOI: 10.1186/s13362-020-00074-4
S. Göttlich, S. Knapp
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引用次数: 9
Simulation and multi-objective optimization to improve the final shape and process efficiency of a laser-based material accumulation process 模拟和多目标优化，以提高激光材料积累过程的最终形状和工艺效率
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2020-01-31 DOI: 10.1186/s13362-020-0070-y
E. Bänsch, Andreas Luttmann, J. Montalvo-Urquizo, A. Schmidt, M. G. Villarreal-Marroquin
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引用次数: 3
Linear behavior in Covid19 epidemic as an effect of lockdown. 封锁对covid - 19疫情的影响
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2020-01-01 Epub Date: 2020-11-30 DOI: 10.1186/s13362-020-00095-z
Dario Bambusi, Antonio Ponno

We propose a mechanism explaining the approximately linear growth of Covid19 world total cases as well as the slow linear decrease of the daily new cases (and daily deaths) observed (in average) in USA and Italy. In our explanation, we regard a given population (the whole world or a single nation) as composed by many sub-clusters which, after lockdown, evolve essentially independently. The interaction is modeled by the fact that the outbreak time of the epidemic in a sub-cluster is a random variable with probability density slowly varying in time. The explanation is independent of the law according to which the epidemic evolves in the single sub cluster.

我们提出了一种机制来解释covid - 19世界总病例的近似线性增长以及美国和意大利观察到的(平均)每日新病例(和每日死亡人数)的缓慢线性下降。在我们的解释中，我们认为一个给定的人口(整个世界或一个国家)由许多子集群组成，这些子集群在封锁后基本上是独立发展的。这种相互作用是通过一个子集群中流行病的爆发时间是一个概率密度随时间缓慢变化的随机变量来建模的。这种解释独立于流行病在单个子群中演变的规律。
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引用次数: 4
Maximum Entropy Principle 最大熵原理
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2020-01-01 DOI: 10.1007/978-3-030-35993-5_2
V. D. Camiola, G. Mascali, V. Romano
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引用次数: 1
Scientific Computing in Electrical Engineering 电气工程中的科学计算
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2020-01-01 DOI: 10.1007/978-3-030-44101-2
Jason Pesnell
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引用次数: 1
An age and space structured SIR model describing the Covid-19 pandemic. 描述 Covid-19 大流行病的年龄和空间结构 SIR 模型。
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2020-01-01 Epub Date: 2020-08-08 DOI: 10.1186/s13362-020-00090-4
Rinaldo M Colombo, Mauro Garavello, Francesca Marcellini, Elena Rossi

We present an epidemic model capable of describing key features of the Covid-19 pandemic. While capturing several qualitative properties of the virus spreading, it allows to compute the basic reproduction number, the number of deaths due to the virus and various other statistics. Numerical integrations are used to illustrate the adherence of the evolutions described by the model to specific well known real features of the present pandemic. In particular, this model is consistent with the well known relevance of quarantine, shows the dramatic role of care houses and accounts for the increase in the death toll when spatial movements are not constrained.

Electronic supplementary material: The online version of this article (10.1186/s13362-020-00090-4) contains supplementary material.

我们提出的流行病模型能够描述 Covid-19 大流行病的主要特征。该模型在捕捉病毒传播的若干定性特征的同时，还能计算基本繁殖数量、病毒导致的死亡人数以及其他各种统计数据。数值积分用于说明该模型所描述的演变与当前大流行病众所周知的具体实际特征的一致性。特别是，该模型与众所周知的检疫相关性相一致，显示了护理之家的巨大作用，并说明了在空间移动不受限制的情况下死亡人数的增加：本文在线版（10.1186/s13362-020-00090-4）包含补充材料。
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引用次数: 0
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