How to run a campaign: Optimal control of SIS and SIR information epidemics

Information spreading in a population can be modeled as an epidemic. Campaigners (e.g., election campaign managers, companies marketing products or movies) are interested in spreading a message by a given deadline, using limited resources. In this paper, we formulate the above situation as an optimal control problem and the solution (using Pontryagin's Maximum Principle) prescribes an optimal resource allocation over the time of the campaign. We consider two different scenarios-in the first, the campaigner can adjust a direct control (over time) which allows her to recruit individuals from the population (at some cost) to act as spreaders for the Susceptible-Infected-Susceptible (SIS) epidemic model. In the second case, we allow the campaigner to adjust the effective spreading rate by incentivizing the infected in the Susceptible-Infected-Recovered (SIR) model, in addition to the direct recruitment. We consider time varying information spreading rate in our formulation to model the changing interest level of individuals in the campaign, as the deadline is reached. In both the cases, we show the existence of a solution and its uniqueness for sufficiently small campaign deadlines. For the fixed spreading rate, we show the effectiveness of the optimal control strategy against the constant control strategy, a heuristic control strategy and no control. We show the sensitivity of the optimal control to the spreading rate profile when it is time varying. (C) 2014 Elsevier Inc. All rights reserved.

Approaches toward (eta(2)-HX) (X = H, SiR (R = Me-3 or Me2Ph), CH3) sigma-complexes of ruthenium

Two new Ru(II)-complexes RuH(Tpms)(PPh3)(2)] 1 (Tpms - (C3H3N2)(3)CSO3, tris-(pyrazolyl) methane sulfonate) and Ru(OTf)(Tpms)(PPh3)(2)] 2 (OTf = CF3SO3) have been synthesized and characterized wherein Ru-H and Ru-OTf are the key reactive centers. Reaction of 1 with HOTf results in the Ru(eta(2)-H-2)(Tpms)(PPh3)(2)]OTf] complex 3, whereas reaction of 1 with Me3SiOTf affords the dihydrogen complex 3 and complex 1 through an unobserved sigma-silane intermediate. In addition, an attempt to characterize the sigma methane complex via reaction of complex 1 with CH3OTf yields complex 2 and free methane. On the other hand, reaction of Ru(OTf)(Tpms)(PPh3)(2)] 2 with H-2 and PhMe2SiH at low temperature resulted in sigma-H-2, 3 and a probable sigma-silane complexes, respectively. However, no sigma-methane complex was observed for the reaction of complex 2 with methane even at low temperature. (C) 2014 Elsevier B. V. All rights reserved.

La urna (1911) de Enrique Banchs : un cancionero argentino del siglo XX

Integran este número de la revista ponencias presentadas en Studia Hispanica Medievalia VIII : Actas de las X Jornadas Internacionales de Literatura Española Medieval, 2011, y de Homenaje al Quinto Centenario del Cancionero General de Hernando del Castillo.

Biological Survey of the Panama Canal Zone (1911)

With the cooperation of several of the executive departments, and of the Field Museum of Natural History, a party of about 10 naturalists was accordingly sent to the zone, and the results so far accomplished have been very satisfactory. Large collections of biological material have been received, including specimens of a considerable number of genera and species new to science. It also seemed important to determine exactly the geographical distribution of the various organisms inhabiting the Isthmus, which is one of the routes by which the animals and plants of South America have entered North America and vice versa. The estimated cost of the survey which would have to be met by the Institution is $11,000...

Collecção das Leis do Imperio do Brasil de 1841

Parte 1 - Atos do Poder Legislativo

Collecção das Leis da Republica dos Estados Unidos do Brazil de 1911

Parte 1 - Atos do Poder Legislativo.

Synopse dos trabalhos da Camara dos Srs. Deputados : relativos ao anno de 1911 : acompanhados de differentes documentos : organizados na Secretaria da mesma Camara

Sinopse dos trabalhos da Câmara dos Deputados, em 1911.

A Escola Normal de Juiz de Fora: crises e permanências (1881-1911)

A motivação apresentada nesta dissertação alimentou-se pela instabilidade evidenciada no processo de criação e na tentativa de consolidação da Escola Normal de Juiz de Fora. Sendo alvo de constantes críticas e debates, o papel da escola normal, assim como sua permanência, motivou propostas, reformas e manifestações, que envolveram não só o poder político, mas também a sociedade. Tais apontamentos foram observados tanto em periódicos da cidade, como o Jornal do Commercio e o Correio de Minas, quanto em documentos encontrados no Arquivo Público Mineiro, como relatórios de inspetores e correspondências de professores.Algumas das publicações presentes nesses periódicos expressaram e, de certa forma, mobilizaram a população a tomar atitudes contra a supressão da mesma, através de abaixo-assinados e representações enviadas ao governo do estado, muitas vezes enaltecendo não só a escola normal, mas principalmente a cidade de Juiz de Fora, considerada a principal da Zona da Mata mineira. Assim, foram mapeadas as discussões sobre a instituição, levantando questões sobre o posicionamento dos diferentes atores sociais acerca da instituição que, mesmo após sua supressão, não deixou de ser alvo de debates. Ainda, teceu-se algumas reflexões acerca da Reforma do Ensino Primário e Normal de João Pinheiro (1906), no que se refere ao ensino normal, mais especificamente no contexto juizforano. Para tanto, foram abordadas questões sobre a preferência da mulher para o magistério,o papel do professor e os institutos equiparados à Escola Normal Modelo de Belo Horizonte. Esse estudo concluiu que as determinações políticas não são produzidas apenas pelos discursos e decisões dos governantes, mas também são influenciáveis e podem ser modificadas por pressões de outros grupos sociais. Tais grupos sociais são formados por indivíduos com ideias e objetivos semelhantes, fazendo parte de um lugar e de uma posição social que os permitam circular e se manifestar em espaços que atinjam proporções significativas, como é o caso da imprensa.

Sea surface temperature and paleo-El Niño events in Santa Barbara Basin, AD 1841-1941

Like pages of a "natural coastal diary", successive layers of anoxic varved sediment in the central Santa Barbara Basin have been used by paleoceanographers to reconstruct aspects of past coastal climate. This report focuses on the end of the "Little Ice Age" (15th to 19th century) and on the beginning of this century, a period known to encompass extreme climate excursions and weather events in the Santa Barbara Basin and other parts of Southern California. El Niño events are known to disrupt Southern California's coastal ecosystems and to cause anomalous weather conditions, but El Niño events in Southern California before 1990 have been largely undocumented.

Geographic variation of the Anderson's Niviventer (Niviventer andersoni) (Thomas, 1911) (Rodentia: Muridae) of two new subspecies in China verified with cranial morphometric variables and pelage characteristics

A total of 66 specimens of Niviventer andersoni with intact skulls was investigated on pelage characteristics and cranial morphometric variables. The data were subjected to principal component analyses as well as to discriminant analyses, and measurement