Stability of a two-strain tuberculosis model with general contact rate.
Huo, Hai-Feng, Dang, Shuai-Jun, Li, Yu-Ning (2010)
Abstract and Applied Analysis
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Displaying similar documents to “Dynamics of Tuberculosis: The effect of Direct Observation Therapy Strategy (DOTS) in Nigeria”
Stability of a two-strain tuberculosis model with general contact rate.
On the dynamics of a vaccination model with multiple transmission ways
Shu Liao, Weiming Yang (2013)
International Journal of Applied Mathematics and Computer Science
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In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the disease-free and endemic equilibria is carried out, and bifurcation theory is applied to explore a variety of dynamics of this model. In addition, we present numerical simulations to verify the model predictions. Mathematical results suggest that vaccination is helpful for disease control by decreasing the control reproduction number...
Global dynamics of a HIV transmission model.
Kovács, Sándor (2010)
Acta Universitatis Sapientiae. Mathematica
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On oscillatory pattern of malaria dynamics in a population with temporary immunity.
Tumwiine, J., Mugisha, J.Y.T., Luboobi, L.S. (2007)
Computational & Mathematical Methods in Medicine
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Subthreshold domain of bistable equilibria for a model of HIV epidemiology.
Corbett, B.D., Moghadas, S.M., Gumel, A.B. (2003)
International Journal of Mathematics and Mathematical Sciences
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Modeling schistosomiasis and HIV/AIDS codynamics.
Mushayabasa, S., Bhunu, C.P. (2011)
Computational & Mathematical Methods in Medicine
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Stability results for a class of differential equation and application in medicine.
Zhan, Qingyi, Xie, Xiangdong, Zhang, Zhifang (2009)
Abstract and Applied Analysis
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Mathematical analysis of a within-host model of malaria with immune effectors and Holling type II functional response
F. Gazori, M. Hesaaraki (2015)
Applicationes Mathematicae
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In this paper, we consider a within-host model of malaria with Holling type II functional response. The model describes the dynamics of the blood-stage of parasites and their interaction with host cells, in particular red blood cells and immune effectors. First, we obtain equilibrium points of the system. The global stability of the disease-free equilibrium point is established when the basic reproduction ratio of infection is R₀< 1. Then the disease is controllable and dies out....