Results 11 to 20 of about 367 (108)
Lyapunov Functions for Tuberculosis Models with Fast and Slow Progression [PDF]
, 2006 The spread of tuberculosis is studied through two models which include fast and slow progression to the infected class. For each model, Lyapunov functions are used to show that when the basic reproduction number is less than or equal to one, the disease ...
McCluskey, C. Connell
core +2 more sources
Mathematical analysis of a MERS-Cov coronavirus model
Demonstratio Mathematica, 2022 In this study, we have proposed a mathematical model to describe the dynamics of the spread of Middle East Respiratory Syndrome disease. The model consists of six-coupled ordinary differential equations.
DarAssi Mahmoud H. +2 more
doaj +1 more source
Metapopulation Dynamics with Migration and Local Competition [PDF]
, 2002 MSC2000: primary 34D15, 34D23, 92B05; secondary 34K60, 34E13, 92D40.Many patch-based metapopulation models assume that the local population within each patch is at its equilibrium and independent of changes in patch occupancy.
Feng, Zhilan, Yi, Yingfei, Zhu, Huaiping
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A delayed SIR epidemic model with a general incidence rate [PDF]
, 2013 A delayed SIR epidemic model with a generalized incidence rate is studied. The time delay represents the incubation period. The threshold parameter, $R_0(\tau)$ is obtained which determines whether the disease is extinct or not.
Hattaf, Khalid +3 more
core +5 more sources
Dissipation-Induced Heteroclinic Orbits in Tippe Tops [PDF]
, 2008 This paper demonstrates that the conditions for the existence of a dissipation-induced heteroclinic orbit between the inverted and noninverted states of a tippe top are determined by a complex version of the equations for a simple harmonic oscillator ...
Bou-Rabee, Nawaf M. +2 more
core +3 more sources
Stability of a secondary dengue viral infection model with multi-target cells
Alexandria Engineering Journal, 2022 Dengue is one of the vector-borne diseases spread in most parts of the world. The number of infected individuals is increased each year. This paper proposes a mathematical model describing the secondary dengue viral infection in micro-environment.
M.A. Alshaikh +2 more
doaj +1 more source
A mathematical model to study the spread of COVID-19 and its control in India
Computational and Mathematical Biophysics, 2023 In this article, a nonlinear mathematical model is proposed and analyzed to study the spread of coronavirus disease (COVID-19) and its control. Due to sudden emergence of a peculiar kind of infection, no vaccines were available, and therefore, the ...
Naresh Ram +3 more
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Computational and Mathematical Methods in Medicine, Volume 11, Issue 3, Page 201-222, 2010., 2010 A deterministic compartmental sex‐structured HIV/AIDS model for assessing the effects of homosexuals and bisexuals in heterosexual settings in which homosexuality and bisexuality issues have remained taboo is presented. We extend the model to focus on the effects of condom use as a single strategy approach in HIV prevention in the absence of any other ...
Noble Malunguza +3 more
wiley +1 more source
Dynamic of a nonautonomous two-species impulsive competitive system with infinite delays
Open Mathematics, 2019 In this paper, we consider a nonautonomous two-species impulsive competitive system with infinite delays. By the impulsive comparison theorem and some mathematical analysis, we investigate the permanence, extinction and global attractivity of the system,
He Mengxin, Li Zhong, Chen Fengde
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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