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 33 for “"Basic reproduction"”.
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Mathematical analysis of tuberculosis models with differential infectivity, general contact rates, migration and staged progression
… s stem SE1...En1. The study proves that when the basic reproduction ratio is less than unity in the models, the disease-free equilibrium is globally asymptotically stable and when the basic reproduction ratio is greater than unity, a unique endemic equilibrium exists and happens to be globally …
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Analyzing Cholera Dynamics in Homogeneous and Heterogeneous Environments
… disease mechanisms, and have long provided basic insights in the possible ways to control infectious diseases. This dissertation is concerned with mathematical modeling and analysis of cholera dynamics. First, we study an autonomous model in a homogeneous environment with added controls that …
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Evaluating the Prevalence of Tick-Borne Viruses Circulating in Virginia Using a One-Health Approach
… and (2) estimate transmission parameters and the basic reproduction number underlying tick-borne virus distribution and prevalence via a mathematical model. Here, we discuss the known literature relevant to tick-borne virus emergence; we assessed the presence of specific neutralizing antibodies …
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Using age of infection models to derive an explicit expression for Ro
… infection model, we derive an expression for the basic reproduction number, Ro. We apply this method to find Ro in analogous treatment models. We find, in the model without treatment, Ro depends only on the mean infective period, and not on the infective distribution. In treatment models, Ro …
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Mathematical model for tripledemic disease (COVID-19, RSV, and Influenza)
… to estimate transmission rates, compute the basic reproduction number, forecast infections, and analyze seasonal variations and comparative transmission dynamics among the three diseases. Our models are applied to seasonal weekly rate cases reported by the CDC from fifteen sites across the …
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A cholera model linking between-host, within-host and environmental disease dynamics
… (Disease Free Equilibrium) by calculation of the Basic Reproduction number R_0, when applicable, and the existence and uniqueness of a positive EE (Endemic Equilibrium) solution. We also discuss the conditions needed to achieve local and global stability in each system. Finally, we combine the …
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Tuberkuliozės matematinis modelis su netiesine gydymo funkcija /
… if an infection can be eradicated. The basic reproduction number $R_0$ is the average number of new infections generated by one infectious individual. While in most epidemiological models it is sufficient to decrease $R_0$ to below unity, in the SEIR model bistability may occur and …
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Mathematical Models and Stability Analysis of Cholera Dynamics
… al.</em> [60] in 2010. We formally derive the basic reproduction number <em>R</em>0 for each model by computing the spectral radius of the next generation matrix. We focus our attention on the stability analysis at the disease-free equilibrium which determines the short-term epidemic behavior, …
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Mathematical models for Tuberculosis spread in humans
… to influence policies 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 …
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Lyapunovfunctions in epidemiological modeling
… demonstrates the construction of the basic reproduction number for the SEIR model, and it is shown that the disease-free equilibrium is locally asymptotically stable ifR0 <1, but unstable ifR0 >1. Furthermore, a Lyapunov function is constructed for the Vector-Host model to study the …
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Modelling HPV Vaccination and Screening Strategies to Optimize Treatment
… and vaccination are essential in lowering the basic reproduction number.
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Modeling the Effects of Drugs of Abuse on HIV Infections with Two Viral Species
… higher set point viral load. Calculation of the basic reproduction number for each species shows that the dominant species is determined by a threshold morphine concentration, with the mutant dominating below the threshold and the wild-type dominating above. Stability analysis is performed on the …
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A Hybrid Modeling Approach to Assess the Efficacy of Control Measures on Paratuberculosis on U.S. Dairy Farms
… patterns on the spread of disease. Using the basic reproduction number, the infection risk in cattle in each pen and the entire farm was calculated. It is shown that the overall infection risk is substantially reduced when the average residence time and the population size in high risk pens …
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Fuel Shortages During Hurricanes: Epidemiological Modeling and Optimal Control
… of initial stages of the evacuation. The Basic Reproduction number (R0) value is then varied to produces predictive trends and the optimal refueling strategy is applied to these probable fuel shortage trends to demonstrate possible countermeasures.</p>
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Structured deterministic models applied to malaria and other endemic diseases
… model is reduced to an ODE model with aging. The basic reproduction number <em>R</em><sub>0</sub> is derived for both settings of the model. A novel assumption of the model based on biological evidence is that the infectiousness of chronic infected individuals can be triggered by bites from even …
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Modeling the Impact Of Environmental Factors, Diapause and Control Strategies on Tick and Tick-Borne Disease Dynamics
… ordinary and delay differential equations, basic reproduction numbers and Hopf bifurcation theory. For this purpose, we produce three different models to study the effect of physiological features such as diapause, control strategies and the effect of environmental conditions on tick and …
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Modeling HIV-1 Infection and Immune Responses Under Drugs of Abuse
… pharmacodynamic parameters. Magnitudes of the basic reproduction number, and the numerical simu lations results of our two viral species model show that the wild type virus dominates both in the presence of morphine and in the absence of morphine. The presence of morphine generally results in …
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Centre Manifold Theory for some continuous and Discrete Epidemiological models
… (1927) can be expressed in terms of the basic reproduction number R0. This is defined as the average number of secondary infections that occur when one infective is introduced into a susceptible host population. In this setting and for many diseases, the prediction of the likelihood of …
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Modeling HIV-1 Infection in the Brain: The Effect of the Blood-Brain Barrier
… act as a viral reservoir. We also show that the basic reproduction number largely depends on the overall effectiveness of ART, but it is not strongly affected by the rate of drug penetration through the blood-brain barrier. The effectiveness of ART depends on both pharmacodynamic parameters and a …
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Network modelling for sexually transmitted diseases
… and quantities of interest such as the basic reproduction number and endemic level of the sexually transmitted disease (STD) are obtained. The first model is formulated to describe dynamics of STDs, where the sexual behaviour is considered “faithful”. By being faithful, we mean …
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