Results 1 to 10 of about 454 (91)
Optimal Intervention Strategies on TB Epidemiology in a Prison Population
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.This paper presents a compartmental model in ordinary differential equations of tuberculosis (TB) disease dynamics in a prison population, which is calibrated to reflect the unique conditions of the Democratic Republic of Congo.
Sibaliwe Maku Vyambwera, Peter Witbooi
semanticscholar +2 more sources
On the Dynamics of Sexually Transmitted Diseases Under Awareness and Treatment
Frontiers in Applied Mathematics and Statistics, 2022 In this paper, we develop and extend the work of Jia and Qin on sexually transmitted disease models with a novel class of non-linear incidence. Awareness plays a central role both in the susceptible and the infectious classes.
S. C. O. Noutchie +3 more
semanticscholar +1 more source
The threshold of a stochastic SIQS epidemic model
Advances in Differential Equations, 2014 In this paper, we discuss the dynamics of a stochastic SIQS epidemic model. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R0. When the noise is small, sufficient conditions for extinction exponentially
Yanni Pang, Yuecai Han, Wenjin Li
semanticscholar +2 more sources
Mathematical Analysis of an Obesity Model with Eating Behaviors
, 2020 Overweight is a social disease, which is transmitted through social networks. A mathematical model is proposed to simulate the dynamics of social obesity, where the structures of individual heterogeneity and overeating behaviors are incorporated.
Wendi Wang
semanticscholar +1 more source
STABILITY ANALYSIS OF A DELAYED FRACTIONAL ORDER SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE
International Journal of Apllied Mathematics, 2019 In this paper, we study the stability of a fractional order SIRS epidemic model with nonlinear incidence rate and time delay, where the fractional derivative is defined in the Caputo sense.
M. Naim, F. Lahmidi, A. Namir
semanticscholar +1 more source
A STOCHASTIC MODEL FOR HIV EPIDEMIC WITH TREATMENT AND INFLOW OF INFECTIVES
International Journal of Apllied Mathematics, 2018 We present a stochastic model of the population dynamics of HIV/AIDS with treatment and inflow of infectives. Starting with a deterministic compartmental model, each of the four ordinary differential equations are stochastically perturbed.
M. Nsuami, P. Witbooi
semanticscholar +1 more source
How to Obtain Long Term Projections for Smoking Behaviour: A Case Study in the Dutch Population
Computational and Mathematical Methods in Medicine, Volume 10, Issue 2, Page 155-164, 2009., 2009 A state‐transition model is presented to project the prevalence rates of never, current and former smokers within the Dutch population. Changes are determined by the transition rates among these three classes: start rates, quit rates and relapse rates. Both the initial prevalence rates and transition rates are calculated from cross‐sectional data using
Maurizio Capannesi +3 more
wiley +1 more source
The Dynamics of an HIV/AIDS Model with Screened Disease Carriers
Computational and Mathematical Methods in Medicine, Volume 10, Issue 4, Page 287-305, 2009., 2009 The presence of carriers usually complicates the dynamics and prevention of a disease. They are not recognized as disease cases themselves unless they are screened and they usually spread the infection without them being aware. We argue that this has been one of the major causes of the spread of human immunodeficiency virus (HIV).
S. D. Hove-Musekwa, F. Nyabadza
wiley +1 more source
Journal of Applied Mathematics, Volume 2004, Issue 3, Page 235-254, 2004., 2004 An SI epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility, natural mortality, and disease‐induced mortality rates depend on age and the force of infection corresponds to a special form of intercohort transmission called proportionate mixing.
M. El-Doma
wiley +1 more source
Vaccination in a model of an epidemic
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 425-429, 2000., 2000 Vaccination has been included in a model which describes an epidemic. A traveling wave solution together with an equilibrium and stability analysis have been done to the model.
M. S. Abual-Rub
wiley +1 more source