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 17 of 17 for “"Endemic equilibrium"”.
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Modelling Infectiology and Optimal Control of Dengue Fever Disease Epidemics in Tanzania
… The model presents two disease-free and two endemic equilibrium points. The results show that the disease-free equilibrium point is locally and globally asymptotically stable if the reproduction number is less than unity. Endemic equilibrium point is locally and globally asymptotically stable …
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An SCIR Model of Meningococcal Meningitis
… shows the local stability of the disease free equilibrium, the existence of an endemic equilibrium and computation of the reproduction number, ℜ0 . Using a MATLAB program we simulate a time course of the model using parameters gathered from the World Health Organization. The numerical solution …
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Mathematical analysis of tuberculosis models with differential infectivity, general contact rates, migration and staged progression
… 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 asymptotically stable under certain conditions. Direct and indirect Lyapunov …
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Mathematical modeling of foot and mouth disease (FMD) in Cattle and Buffaloes using vaccination and culling: A Namibia perspective
… of model solutions, as well as the stability of equilibrium points and to ensure that the mathematical solutions were biologically reasonable. Important threshold parameters such as the reproduction numbers were established, which are critical indicators of disease spread. Results from the study …
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A cholera model linking between-host, within-host and environmental disease dynamics
… existence and uniqueness of a DFE (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 …
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A Multi-level Model for a Vector-Borne Organ to Tissue life Cycle Dynamics
… eradicating the infection in a malaria-endemic population. Methodology Mathematical modeling in the study of complex system has proven to be an invaluable tool for understanding and predicting the behaviour and dynamics of a complex system within the domain of complexity science. Thus, …
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Multi-scale and multi-group modeling techniques applied to Cholera and COVID-19
… existence and uniqueness of a DFE (Disease Free Equilibrium) are discussed in light of the number R0, when applicable, as well as the existence and uniqueness of a positive EE (Endemic Equilibrium). The conditions needed to achieve local and global stability in each system are reviewed, and …
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Mathematical Models and Stability Analysis of Cholera Dynamics
… on the stability analysis at the disease-free equilibrium which determines the short-term epidemic behavior, and the endemic equilibrium which determines the long-term disease dynamics. Particularly, we incorporate the Volterra-Lyapunov matrix theory into Lyapunov functions to facilitate the …
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A discrete-time waning immunity model for the spread of an immune escape pathogen
… of damped oscillations in infections about the endemic equilibrium. In Chapter 4, motivated by the surges in hospitalisations associated with the surges in Omicron infections in the community, we investigate whether surges in Omicron infections in a population can be suppressed by vaccination. …
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Epidemiological model of the transmission and spread of Hepatitis B pandemic in Ghana
… in Sub-Saharan Africa designated as an endemic region. Limited studies on hepatitis B, coupled with lack of adequate health care systems and infrastructure, have led to ignorance or misconceptions and stigmatisation about the disease and worsened the disease prevalence in Ghana a …
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An Epidemic Model Structured By The Time Since Last Infection
… the conditions for existence and stability of equilibrium solutions. The TSLI model is simple, yet it has rich dynamics, such as multiple endemic equilibria, endemic equilibria in the absence of vital dynamics, asymptotically stable endemic equilibria even when R<sub>0</sub></p> <p>It has been …
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Centre Manifold Theory for some continuous and Discrete Epidemiological models
… population reads as follows: the disease-free equilibrium is locally asymptotically stable (LAS) when R0 < 1, it is unstable when R0 > 1 and at least one endemic equilibrium (EE) which is LAS is born in this case. In other words, at R0 = 1, a forward bifurcation occurs. However, some diseases …
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Network modelling for sexually transmitted diseases
… 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 individuals are monogamous, and there …
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Mathematical modeling of an epidemic under vaccination in two interacting populations
… 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 finding is that the behaviour of the disease free equilibrium depend on the vaccination rates …
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Mathematical modelling of the HIV/AIDS epidemic and the effect of public health education
… education campaign. We study the existence of equilibrium points and their stability. Original contributions of this dissertation are the modifications on the model of Cai et al. [1], which enables us to use optimal control theory to identify optimal roll-out of strategies to control the …
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The Development and Application of Coupled Multiscale Models of Malaria Disease System
… evolved to substantiate that the infection-free equilibrium is locally and globally asymptotically stable whenever R0 < 1, and the endemic equilibrium exists and is globally asymptotically stable whenever R0 > 1. We applied the vaccination process as a governing measure on the multi-scale model …
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Information spread in networks: games, optimal control, and stabilization
… condition for the existence of a saddle-point equilibrium (SPE) for the underlying zero-sum game. In Attack-II, the designer and the adversary are both capable of altering the measurements of all nodes in the network by injecting global signals. We impose two constraints on both players: a …