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 20 of 30 for “"SIR model"”.
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The SIR Model When S(t) is a Multi-Exponential Function.
<p>The SIR can be expressed either as a system of nonlinear ordinary differential equations or as a nonlinear Volterra integral equation. In general, neither of these can be solved in closed form. In this thesis, it is shown that if we assume <em>S</em>(<em>t</em>) is a finite multi-exponential, …
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Spatial spread of infectious diseases
… thesis we do a comparative study of diffusive models with non-diffusive models, looking at the effect movements in the form of simple diffusion have on the spreading of infectious diseases. This study is undertaken within the context of the SI and SIR models, two of the most fundamental models …
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Analysis and Simulation for Homogeneous and Heterogeneous SIR Models
… A homogeneous Susceptible-Infectious-Removed (SIR) model with a generalized incidence term is presented along with analytic and numerical results concerning effects of the generalization on the global disease dynamics. The spatial heterogeneity of the metapopulation with nonrandom directed …
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Large Scale Disease Modeling
<p>In this we study large scale disease modeling. After understanding the mechanics behind the SIR disease model in an ODE sense, we will apply this knowledge to model disease spread in more and more increasing advanced cellular automata. Eventually, some of our cellular automata will include long …
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An SCIR Model of Meningococcal Meningitis
A model for meningitis is developed by adding a class of carriers to the basic SIR model. This model is used to analyze the impact a vaccination program can have on the health of the population of epidemic prone countries. Analysis of the model shows the local stability of the disease free …
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Complex Urban Road Networks: Static Structures and Dynamic Processes
… we advocate the use of epidemic theory to model the spreading of traffic congestion in urban cities. Specifically, we use the Susceptible - Infected - Recov- ered (SIR) model but propose to explicitly consider the road network structure in the model to understand the contagion process of …
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Assessing the Effectiveness of Lockdowns and Mask Mandates on Reducing COVID-19 Infections in Essential Worker Populations
… guidance for decision-making. Several epidemic models have been proposed to understand and forecast the dynamics of spread of infectious diseases. Only a few, however, account for the role of "essential" workers, who must keep interacting face-to-face with others during a pandemic. In this work, …
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Mathematical models for vector-borne disease: effects of periodic environmental variations.
Firstly, I proposed a very simple SIS/SIR model for a general vector-borne disease transmission considering constant population sizes over the season, where contact between the host and the vector responsible of the transmission is assumed to occur only during the summer of each year. I discussed …
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Limit Cycles and Dynamics of Rumor Models
… discusses limit cycles and behavior of rumor models. The first part presents the deterministic Daley-Kendall model (DK) with arrivals and departures and comparison of the Susceptibles, Infectives and Removed (SIR) model and the DK model. The second result is a part of the qualitative analysis …
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Using small world models to study infection communication and control
The modelling of infection transmission has taken many forms: The simple Susceptible-Infected-Removed (SIR) model yields good epidemiological results, but is not well suited to the modelling of the application of interventions. Attention has focused in recent years on graph (network) models and …
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Epidemic Simulation and Mitigation via Evolutionary Computation
… science, and mathematics to generate epidemic models, vaccines, and vaccination strategies to mitigate unfavourable outcomes. To this end, a generative representation to create personal contact networks, representing the social connections within a population, known as the Local THADS-N …
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Mathematical Modeling of Dengue Viral Infection
… in disease severity, we develop mathematical models of within-host virus-cell interaction, epidemiological models of virus transmission, and a combination of the within-host and between-host models. The main results of this thesis focus on the within-host model. We model the effects of …
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Biosecurity and risk analysis for cow-calf enterprises: a simulation model for Bovine Viral Diarrhea Virus
A Monte Carlo model was developed to determine the cost-effectiveness of different biosecurity strategies for Bovine Viral Diarrhea Virus (BVDV) on cow-calf farms. Where possible, risk distributions were defined in the course of a critical literature review covering all publications since 1990 …
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Mathematical modeling, analysis, and simulation of Cholera dynamics
We propose multiple models to investigate the transmission dynamics of cholera. At first, we consider the intrinsic growth of cholera bacteria in cholera transmission and find that the regular threshold dynamics take place if the intrinsic growth is logistic; there are multiple endemic equilibria …
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Modeling the Effects of Traffic Reduction on the Severity of the COVID-19 Epidemic in U.S. States
… from the Susceptible-Infected-Recovered (SIR) model.</p> <p>As a result of state and national governmental restrictions and public perception of the virus, traffic patterns were severely altered throughout the peak of the pandemic in 2020 and 2021. Traffic volumes experienced the greatest …
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Epidemiological Models For Mutating Pathogens With Temporary Immunity
… A considerable amount of work has been done in modeling the dynamics of diseases by systems of ordinary differential equations. But there are very few mathematical models that deal with the genetic mutations of a pathogen. In-fact, not much has been done to model the dynamics of mutations of …
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MODELING THE DYNAMICS OF INFECTIOUS DISEASES WITH Latency IN SPATIALLY HETEROGENEOUS Environments
… heterogeneous environment, we derive three new models of SIR type, which are more realistic than the existing related ones. The first one considers a 2-patch environment and ignores the demographic structure. The model is given by a system of delay differential equations (DDEs). It is a …
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A new theoretical treatment of pathogen and host evolution
… of those descendants will be. Despite this, models of pathogen evolution have nearly all been deterministic, treating values such as transmission and virulence as parameters that can be known ahead of time. I present a broadly applicable analytic approach for modeling pathogen evolution in …
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Statistical methods for longitudinal medical data with applications
… data. They range from generalized mixed- effect models, growth and evolution modeling (often combined with the mixed- effects structures), to time-to-events analyses. However, such statistical methodologies might sometimes involve complicated issues to deal with, especially those related to …
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Interval Markov chains: performance measures and sensitivity analysis.
… Markov chains, we considered the Markovian SIR (susceptible-infectious-recovered) epidemic model and looked to extend the concepts developed for the unstructured interval Markov chains. Two important performance measures, namely the mean final epidemic size and mean epidemic duration, were …
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