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Showing 1 to 7 of 7 for “"Mathematical Epidemiology"”.
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QUALITATIVE AND QUANTITATIVE ANALYSIS OF STOCHASTIC MODELS IN MATHEMATICAL EPIDEMIOLOGY
… rates in three basic deterministic models in mathematical epidemiology and obtain stochastic counterparts. This paper addresses qualitative and quantitative analysis of stochastic SIS model with disease deaths and demographic effects, and stochastic SIR models with/without disease deaths and …
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Bayesian Probabilistic Reasoning Applied to Mathematical Epidemiology for Predictive Spatiotemporal Analysis of Infectious Diseases
Abstract Probabilistic reasoning under uncertainty suits well to analysis of disease dynamics. The stochastic nature of disease progression is modeled by applying the principles of Bayesian learning. Bayesian learning predicts the disease progression, including prevalence and incidence, for a …
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Analysis and Simulation for Homogeneous and Heterogeneous SIR Models
In mathematical epidemiology, disease transmission is commonly assumed to behave in accordance with the law of mass action; however, other disease incidence terms also exist in the literature. A homogeneous Susceptible-Infectious-Removed (SIR) model with a generalized incidence term is presented …
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Mathematical epidemiological models with finite time extinction : the case of African swine fever virus in wildlife areas
In Mathematical Epidemiology disease free states are commonly represented as equilibria of dynamical systems which model the respective epidemiological processes. However, in cases when the equilibrium is zero and is related to extinction (of the population), due to the uniqueness property of a …
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Centre Manifold Theory for some continuous and Discrete Epidemiological models
In mathematical epidemiology, the threshold theory introduced by W.O. Kermack and A.G. McKendrick (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 …
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Markovian and stochastic differential equation based approaches to computer virus propagation dynamics and some models for survival distributions
… virus over the Internet by borrowing ideas from mathematical epidemiology. Large computer networks such as the Internet have become essential in today's technological societies and even critical to the financial viability of the national and the global economy. However, the easy access and …
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Discrete epidemic models with arbitrarily distributed disease stages
… models (or discrete models) in the field of mathematical epidemiology has been limited while continuous-time models (or continuous models) are often times preferred, particularly because disease dynamics do occur continuously in time and more mathematical tools are available for model …