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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Corbett, B.D., Moghadas, S.M., Gumel, A.B. (2003)
International Journal of Mathematics and Mathematical Sciences
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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...
D.P. Moualeu, S. Bowong, J.J. Tewa, Y. Emvudu (2012)
Mathematical Modelling of Natural Phenomena
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Tuberculosis (TB) remains a major global health problem. A possible risk factor for TB is diabetes (DM), which is predicted to increase dramatically over the next two decades, particularly in low and middle income countries, where TB is widespread. This study aimed to assess the strength of the association between TB and DM. We present a deterministic model for TB in a community in order to determine the impact of DM in the spread of the ...
Cai, Liming, Li, Xuezhi (2010)
Discrete Dynamics in Nature and Society
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