Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 14 of 14 for “"reproductive number"”.
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Mathematical modeling of an epidemic under vaccination in two interacting populations
… threshold parameter and we call it a vaccination reproductive number. This invariant determines whether the disease will die out or becomes endemic on the (in particular, local) population. Then we present the stability analysis of equilibrium points and the effect of vaccination. Our primary …
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Within Host and Multiscale Models of Usutu and SARS-CoV-2 Viral Infections with Animal Hosts
… viral strain dynamics, and correlated high basic reproductive number with short infected cell lifespan (indicative of immune responses) and correlated low basic reproductive number with low viral peaks and longer lasting viremia (due to lower infection rates and high infected cell lifespan). We …
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Mathematical models for Tuberculosis spread in humans
… for decision making. The basic reproduction number for each model is calculated by using the next generation method and conditions for disease elimination/persistence are determined. Numerical simulation results show that for the first model, R0 > 1; implying that the disease-free equilibrium …
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West Nile Virus Seroreversion and the Influence of Herd Immunity on Disease Risk in a Long-term Study of Free-ranging Birds
… of West Nile virus (WNV) is driven by the number of susceptible avian hosts. The quantity of susceptible hosts is determined by 1) recruitment of juvenile birds during the breeding season, 2) adult birds previously unexposed to WNV, and 3) adult birds with waning antibody titers. Although …
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Statistical applications in the analysis of vaccine preventable diseases
… of that outbreak. A key parameter is the reproductive number and this was monitored for pandemic influenza using routinely collected data. Then postcode data was added to develop a spatial model for estimating the rate of spread.For vaccine-preventable diseases, the primary intervention …
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Mathematical Modeling of Malaria: Theories of Malaria Elimination
… the human component of malarial R0, the basic reproductive number. I then compare this value to those from three other models and describe how this quantity can be used to model malaria transmission. The second application of the model incorporates the effects of drug treatment on progression …
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Stochastic and Renewal Methods Applied to Epidemic Models
… magnitude of the disease spread depends on the Reproductive Number (R = beta/mu). In the long run, the stochastic equilibrium and the deterministic equilibrium yield the same infected size equilibrium (1-(1/R)) in proportion. Finally, the asymptotic distribution of the infected size is shown to …
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THE ECOLOGY OF TICK-BORNE RELAPSING FEVER IN WESTERN NORTH AMERICA
… model to calculate R<sub>0</sub>, the basic reproductive number of the disease system. The effect of antigenic variation of the spirochete was assessed by adding relapsing classes to the model, which resulted in an increase of R<sub>0</sub>. We confirmed the suitability of coniferous forests …
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THE ECOLOGY OF TICK-BORNE RELAPSING FEVER IN WESTERN NORTH AMERICA
… model to calculate R<sub>0</sub>, the basic reproductive number of the disease system. The effect of antigenic variation of the spirochete was assessed by adding relapsing classes to the model, which resulted in an increase of R<sub>0</sub>. We confirmed the suitability of coniferous forests …
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Characterisation of the Ugandan HIV epidemic with full-length genome sequence data from 1986 to 2016
… recombinant forms (URFs), representing a large number of independent superinfection events, which is consistent with the size and age of the epidemic. There are wide scale patterns of recombination along the genome, which are described. Specifically, the region of envelope from C2 of gp120 to …
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Hybrid methodology for Markovian epidemic models
… is particularly important when only a small number of infectious individuals are present, during which stage the probability of epidemic fade out is considerable. Unfortunately, the simple SIR CTMC has a state space of order N², where N is the size of the population being modelled, and hence …
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Epidemiological Models For Mutating Pathogens With Temporary Immunity
… infection at a present time is determined by the number of infectives in the past). We begin with reviewing some basic models. These basic models are the building blocks for the later, more detailed models. Next we consider the model for mutation of pathogen and discuss its implications. Finally, …
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The Development and Application of Coupled Multiscale Models of Malaria Disease System
… pathogen load (GH and PV ) decreases and the reproductive number can be reduced by 89.09%, that is, the transmission of malaria can be reduced on the dynamics of individual level and population-level.We also evolved the multi-scale model with the human immune response on a within-human …
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Mathematical Modeling, Analysis and Control of Some Infectious Diseases
… law. For both models an estimate of the Basic Reproductive Number related to the spatial case is provided, comparing it later with the one corresponding to the non-spatial model. The conditions are given for which this quantity constitutes a threshold value for the eradication of the infection …