On the time to reach a critical number of infections in epidemic models with infective and susceptible immigrants.

In this paper we examine the time T to reach a critical number K0 of infections during an outbreak in an epidemic model with infective and susceptible immigrants. The underlying process X, which was first introduced by Ridler-Rowe (1967), is related to recurrent diseases and it appears to be analytically intractable. We present an approximating model inspired from the use of extreme values, and we derive formulae for the Laplace-Stieltjes transform of T and its moments, which are evaluated by using an iterative procedure. Numerical examples are presented to illustrate the effects of the contact and removal rates on the expected values of T and the threshold K0, when the initial time instant corresponds to an invasion time. We also study the exact reproduction number Rexact,0 and the population transmission number Rp, which are random versions of the basic reproduction number R0.

Contribution to Real-Time Estimation of Crop Phenological States in a Dynamical Framework Based on NDVI Time Series: Data Fusion With SAR and Temperature

In this study, a methodology based in a dynamical framework is proposed to incorporate additional sources of information to normalized difference vegetation index (NDVI) time series of agricultural observations for a phenological state estimation application. The proposed implementation is based on the particle filter (PF) scheme that is able to integrate multiple sources of data. Moreover, the dynamics-led design is able to conduct real-time (online) estimations, i.e., without requiring to wait until the end of the campaign. The evaluation of the algorithm is performed by estimating the phenological states over a set of rice fields in Seville (SW, Spain). A Landsat-5/7 NDVI series of images is complemented with two distinct sources of information: SAR images from the TerraSAR-X satellite and air temperature information from a ground-based station. An improvement in the overall estimation accuracy is obtained, especially when the time series of NDVI data is incomplete. Evaluations on the sensitivity to different development intervals and on the mitigation of discontinuities of the time series are also addressed in this work, demonstrating the benefits of this data fusion approach based on the dynamic systems.

Elpis Israel : an exposition of the Kingdom of God, with reference to the time of the end, and the age to come, to which is added Chronikon Hebraikon ... /

Mode of access: Internet.

The life of James, Duke of Ormond : containing an account of the most remarkable affairs of his time, and particularly of Ireland under his government ; with appendix and a collection of letters, serving to verify the most material facts in the said history /

Previous ed. publ. under title: An history of the life of James, Duke of Ormond.

An Act for limiting the time of service in the Army... : an act for punishing mutiny and desertion... together with rules and articles of war.

Mode of access: Internet.

Banks and Bankers of the Keystone State: containing a complete history of the banking interests of Pennsylvania from the organization of the first bank in 1780 to the present time, together with portraits and biographical sketches of the prominent figures in a century and a quarter of financial history.

Mode of access: Internet.

A sketch of all the invasions or descents upon the British Islands, from the landing of William the Conqueror. Translated from the French, with additions, and continuation to the present time

Mode of access: Internet.

Memoirs of Richard Cumberland : containing an account of his life and writings, interspersed with anecdotes and characters of several of the most distinguished persons of his time, with whom he had intercourse and connnexion /

"Supplement": p. [301]-340.

Rabbinical literature: or, The traditions of the Jews, contained in their Talmud and other mystical writings. Likewise the opinions of that people concerning Messiah, and the time and manner of his appearing; with an appendix comprizing Buxtorf's account of the religious customs and ceremonies of that nation; also, A preliminary enquiry into the origin, progress, authority, and usefulness of these traditions; wherein the sense of the strange allegories in the Talmud and Jewish authors is explained.

The first edition of the German original was issued Frankfurt, 1700, under the title "Entdecktes judenthum", but was suppressed until after a second edition appeared at Königsberg, 1711. Editions of the translation, with preface by J.P. Stehelin, were issued 1732-34 and 1742 under title: The traditions of the Jews ...

Ninth report with inventory of monuments and constructions in the outer Hebrides, Skye and the Small Isles.

Herbert Maxwell, chairman.

Antigua and the Antiguans: a full account of the colony and its inhabitants from the time of the Caribs to the present day, interspersed with anecdotes and legends. Also, an impartial view of slavery and the free labour systems; the statistics of the island, and biographical notices of the principal families ...

Halkett and Laing, following a passing reference to this work in Notes and queries, March 12, 1852, p. 259, ascribe the authorship to "Mrs. Flannigan". and they are followed by Cushing. V. L. Oliver, however, in his History of the island of Antigua, London, 1894-99, v. 1, p. iv. attributes the work to "Mrs. Lanaghan".

The history of the Jews : from the earliest period to the present time / by H. H. Milman ; with maps and engravings.

Mode of access: Internet.

Blair's chronological and historical tables : from the creation to the present time, with additions and corrections from the most authentic writers, including the computation of St. Paul, as connecting the period from the exode to the temple.

"The present volume has been reconstructed from the folio edition by a literary friend [John Sharpe] ... the ... revision of the manuscript ... having been intrusted to myself."--Sir Henry Ellis, in preface (dated 1844) cf. also Lowndes.

Gallus; or, Roman scenes of the time of Augustus. With notes and excursuses illustrative of the manners and customs of the Romans.

Mode of access: Internet.