Global ETD Search

151	Generating function approach for the effective degree SIR Model Manke, Kurtis 05 January 2021 (has links) The effective degree model has been applied to both SIR and SIS type diseases (those which confer permanent immunity and those which do not, respectively) with great success. The original model considers a large system of ODEs to keep track of the number of infected and susceptible neighbours of an individual. In this thesis, we use a generating function approach on the SIR effective degree model to transform the system of ODEs into a single PDE. This has the advantage of allowing the con- sideration of infinite networks. We derive existence and uniqueness of solutions to the PDE. Furthermore, we show that the linear stability of the PDE is governed by the same disease threshold derived by the ODE model, and we also show the nonlinear instability of the PDE agrees with the same disease threshold. / Graduate math epidemiology partial differential equations SIR disease model
152	Bifurcation analysis and nonstandard finite difference schemes for Kermack and McKendrick type epidemiological models Terefe, Yibeltal Adane 23 May 2013 (has links) The classical SIR and SIS epidemiological models are extended by considering the number of adequate contacts per infective in unit time as a function of the total population in such a way that this number grows less rapidly as the total population increases. A diffusion term is added to the SIS model and this leads to a reaction–diffusion equation, which governs the spatial spread of the disease. With the parameter R0 representing the basic reproduction number, it is shown that R0 = 1 is a forward bifurcation for the SIR and SIS models, with the disease–free equilibrium being globally asymptotic stable when R0 is less than 1. In the case when R0 is greater than 1, for both models, the endemic equilibrium is locally asymptotically stable and traveling wave solutions are found for the SIS diffusion model. Nonstandard finite difference (NSFD) schemes that replicate the dynamics of the continuous SIR and SIS models are presented. In particular, for the SIS model, a nonstandard version of the Runge-Kutta method having high order of convergence is investigated. Numerical experiments that support the theory are provided. On the other hand the SIS model is extended to a Volterra integral equation, for which the existence of multiple endemic equilibria is proved. This fact is confirmed by numerical simulations. / Dissertation (MSc)--University of Pretoria, 2012. / Mathematics and Applied Mathematics / unrestricted Sis and sir epidemiological models Nonstandard finite difference scheme Nsfd UCTD
153	Sayyid Aḥmad Khān and the ʻUlamāʾ : a study in socio-political context Azizalam, Shaista January 1992 (has links) No description available. Ulama -- India
154	Peter Paul Rubens and colour theory : an assessment of the evidence Meyer, Rüdiger January 1995 (has links) No description available. Color in art
155	Rubens and the humanistic garden Brendel, Maria Lydia January 1990 (has links) No description available. Rubens, Peter Paul, Sir, 1577-1640 Gardens in art
156	Rubens at Whitehall Wachna, Pamela Sue. January 1979 (has links) No description available. Whitehall Palace (London, England) Rubens, Peter Paul, Sir, 1577-1640.
157	Rubens' Medici cycle : justification for a heroine Queen Shamy, Tania Solweig. January 2000 (has links) No description available.
158	Rubens' unfinished gallery of Henry IV : one half of 'un bel composto' Schecter, Danial. January 2000 (has links) No description available.
159	The early career of Sir Robert Inglis / Iversen, P. Stuart (Peter Stuart) January 1983 (has links) No description available. Inglis, Robert Harry, Sir, 1786-1855.
160	College for employed adults : a survey of the facilities in Canada for the formal college education of employed adults and a study of the characteristics and achievement of undergraduates in the evening division of the Faculty of arts, science and commerce of Sir George Williams College. Sheffield, Edward F., 1912- January 1941 (has links) No description available. Sir George Williams University. Adult education -- Canada. Universities and colleges -- Canada.

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