Results 11 to 20 of about 350 (105)
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
An SEIR model with modified saturated incidence rate and Holling type II treatment function
Computational 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
Bifurcation analysis of HIV infection model with cell-to-cell transmission and non-cytolytic cure
Computational and Mathematical Biophysics, 2023 A mathematical model is proposed and discussed to study the effect of cell-to-cell transmission, the non-cytolytic process, and the effect of logistic growth on the dynamics of HIV in vivo.
Prakash Surya +2 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
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
Three Dimensional System of Globally Modified Navier-Stokes Equations with Infinite Delays [PDF]
, 2010 Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, under suitable additional conditions, we obtain global ...
Marín Rubio, Pedro +2 more
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Modelling Immune Response and Drug Therapy in Human Malaria Infection
Computational and Mathematical Methods in Medicine, Volume 9, Issue 2, Page 143-163, 2008., 2008 A new intra‐host model of malaria that describes the dynamics of the blood stages of the parasite and its interaction with red blood cells and immune effectors is proposed. Local and global stability of the disease free equilibrium are investigated. Conditions for existence and uniqueness of the endemic equilibrium are derived.
C. Chiyaka, W. Garira, S. Dube
wiley +1 more source
On Behaviour of a Host-vector Epidemic Model with Non-linear Incidence [PDF]
, 2012 In this paper we find the possible phase portraits and bifurcations for a general class of host-vector epidemic models with non-linear incidence function generalizing the Ross model.Key words: Epidemics; Non-linear incidence; Global analysis ...
Akoto, Bismark +2 more
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Hopf periodic orbits for a ratio-dependent predator-prey model with stage structure [PDF]
, 2016 Agraïments: The second author is partially supported by Dirección de Investigación DIUBB 1204084/R.A ratio-dependent predator-prey model with stage structure for prey was investigated in [8].
Llibre, Jaume, Vidal, Claudio
core +5 more sources
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
doaj +1 more source