{"title":"On the Optimal Control of Vaccination and treatments for an SIR-Epidemic model with Infected Immigrants","authors":"E. A. Bakare","doi":"10.4172/2168-9679.1000230","DOIUrl":"https://doi.org/10.4172/2168-9679.1000230","url":null,"abstract":"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 on\u0000the 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 number\u0000of 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 influence\u0000of 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(\u0000PMP) are illustrated and various numerical simulations are performed to discuss the solution.","PeriodicalId":42286,"journal":{"name":"International Journal of Ecological Economics & Statistics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2016-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70863421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Estimating Gompertz Growth Curves from Marine Mammal Strandings in the Presence of Missing Data.","authors":"Mary Shotwell, Wayne McFee, Elizabeth H Slate","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>Stranded bottlenose dolphins (<i>Tursiops truncatus</i>) 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.</p>","PeriodicalId":42286,"journal":{"name":"International Journal of Ecological Economics & Statistics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4011081/pdf/nihms259225.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"32329371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quadratic Optimal Control for Bilinear Systems","authors":"R. Ayadi, M. Ouzahra","doi":"10.1007/978-3-030-62299-2_11","DOIUrl":"https://doi.org/10.1007/978-3-030-62299-2_11","url":null,"abstract":"","PeriodicalId":42286,"journal":{"name":"International Journal of Ecological Economics & Statistics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2007-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50970721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}