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On the Optimal Control of Vaccination and treatments for an SIR-Epidemic model with Infected Immigrants 带有移民感染的sir流行病模型疫苗接种的最优控制与治疗
IF 0.3 Pub Date : 2016-08-23 DOI: 10.4172/2168-9679.1000230
E. A. Bakare
This paper is proposed to study rigorously the optimal control of vaccination and treatments for an SIR(Susceptible-Infected-Recovered) Epidemic model with infected immigrants. The impact of infected immigrants is studied in order to understand and assess its influence onthe transmission dynamics for an SIR(Susceptible-Infected-Recovered) Epidemic model. The main goal of this work is to find the optimal treatment and vaccination strategies in combination that will minimize the cost of vaccination and treatment as well as the numberof infective and to measure the influence of the flow of infected immigrants in the transmission of disease in a population.Qualitative and quantitative analysis of the model with respect to stability of the disease free equilibrium and endemic equilibrium under the influenceof the two control strategies are carried out.It is established that in the absence of infected immigrants the disease free equilibrium exist and is locally asymptotically stable. Hence, the optimal interventions for the disease control using Pontryagin’s Maximum Principle(PMP) are illustrated and various numerical simulations are performed to discuss the solution.
本文旨在研究具有感染移民的SIR(易感-感染-恢复)流行病模型的疫苗接种和治疗的最优控制问题。研究受感染移民的影响,以了解和评估其对SIR(易感-感染-恢复)流行病模型的传播动力学的影响。这项工作的主要目标是找到最佳的治疗和疫苗接种策略,以最大限度地减少疫苗接种和治疗的成本以及感染人数,并衡量受感染移民流动对人群中疾病传播的影响。对模型在两种控制策略影响下的无病平衡和地方病平衡的稳定性进行了定性和定量分析。证明了在无感染移民存在的情况下,无病平衡是局部渐近稳定的。因此,利用庞特里亚金最大原理(PMP)说明了疾病控制的最佳干预措施,并进行了各种数值模拟来讨论解决方案。
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引用次数: 10
Estimating Gompertz Growth Curves from Marine Mammal Strandings in the Presence of Missing Data. 在数据缺失的情况下估算海洋哺乳动物搁浅的Gompertz生长曲线
Mary Shotwell, Wayne McFee, Elizabeth H Slate

Stranded bottlenose dolphins (Tursiops truncatus) off the coast of South Carolina (SC) provide data essential for population health assessment. Of the 598 bottlenose dolphin strandings in SC from 1993 to 2007, 91 were of sufficient body condition to obtain organ weights. Of these 91 animals, only 52 were brought back to the laboratory for total body weight measurements. Because it is more feasible to transport smaller animals to the laboratory setting for necropsy procedures, a selection bias is present in that data for larger animals are often missing. Regression and propensity score multiple imputation methods are utilized to account for missing data needed to compute growth. Fitted Gompertz growth curves for SC animals with and without adjustment for missing data are compared to those found from the northwestern Gulf of Mexico. South Carolina animals display a trend in lower asymptotic mean total body weights and faster growth rates compared to the Gulf of Mexico population. The differences generally increased in magnitude after imputation methods. South Carolina females were originally estimated to reach larger maximum sizes than Gulf of Mexico females, but after imputation this relationship reversed. The findings suggest selection bias should be accounted for in sampling stranded dolphins.

南卡罗来纳海岸搁浅的宽吻海豚(Tursiops truncatus)为种群健康评估提供了重要数据。从1993年到2007年,在南太平洋搁浅的598只宽吻海豚中,有91只的身体状况足以获得器官重量。在这91只动物中,只有52只被带回实验室进行总体重测量。由于将较小的动物运送到实验室进行尸检更为可行,因此存在选择偏差,因为大型动物的数据经常丢失。使用回归和倾向得分多重插值方法来解释计算增长所需的缺失数据。将拟合的SC动物的Gompertz生长曲线与在墨西哥湾西北部发现的数据进行了比较,并对缺失数据进行了调整。与墨西哥湾的动物相比,南卡罗来纳的动物表现出较低的渐近平均总体重和较快的生长率的趋势。采用代入方法后,差异的幅度普遍增大。南卡罗来纳的雌性最初估计比墨西哥湾的雌性达到更大的最大尺寸,但在推算后,这种关系颠倒了。研究结果表明,在对搁浅海豚进行抽样时,应该考虑到选择偏差。
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引用次数: 0
Quadratic Optimal Control for Bilinear Systems 双线性系统的二次最优控制
IF 0.3 Pub Date : 2007-08-15 DOI: 10.1007/978-3-030-62299-2_11
R. Ayadi, M. Ouzahra
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引用次数: 0
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International Journal of Ecological Economics & Statistics
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