Results 11 to 20 of about 353 (103)

Lyapunov Functions for Tuberculosis Models with Fast and Slow Progression [PDF]

open access: yes, 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

An SEIR model with modified saturated incidence rate and Holling type II treatment function

open access: yesComputational and Mathematical Biophysics, 2023
In this article, the behavior of an susceptible exposed infected recovered (SEIR) epidemic model with nonlinear incidence rate and Holling type II treatment function is presented and analyzed. Reproduction number of the model is calculated.
Umdekar Shilpa   +2 more
doaj   +1 more source

Metapopulation Dynamics with Migration and Local Competition [PDF]

open access: yes, 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
core   +2 more sources

Stability of a secondary dengue viral infection model with multi-target cells

open access: yesAlexandria 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

Dissipation-Induced Heteroclinic Orbits in Tippe Tops [PDF]

open access: yes, 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

Mathematical analysis of a MERS-Cov coronavirus model

open access: yesDemonstratio 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

Modelling the Effects of Condom Use and Antiretroviral Therapy in Controlling HIV/AIDS among Heterosexuals, Homosexuals and Bisexuals

open access: yesComputational 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

Tippe Top Inversion as a Dissipation-Induced Instability [PDF]

open access: yes, 2004
By treating tippe top inversion as a dissipation-induced instability, we explain tippe top inversion through a system we call the modified Maxwell--Bloch equations. We revisit previous work done on this problem and follow Or's mathematical model [SIAM J.
Bou-Rabee, Nawaf M.   +2 more
core   +1 more source

The Dynamics of an HIV/AIDS Model with Screened Disease Carriers

open access: yesComputational 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

Dynamic of a nonautonomous two-species impulsive competitive system with infinite delays

open access: yesOpen 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
doaj   +1 more source

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