A two-dimensional model for the transmission of dengue fever disease.
Soewono, Edy, Supriatna, Asep K. (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Soewono, Edy, Supriatna, Asep K. (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Kovács, Sándor (2010)
Acta Universitatis Sapientiae. Mathematica
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Mushayabasa, S., Bhunu, C.P. (2011)
Computational & Mathematical Methods in Medicine
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Cai, Liming, Li, Xuezhi (2010)
Discrete Dynamics in Nature and Society
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Baryarama, F., Mugisha, J.Y.T., Luboobi, L.S. (2006)
Computational & Mathematical Methods in Medicine
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Alavez-Ramírez, J., Fuentes-Allen, J.L., López-Estrada, J. (2011)
Computational & Mathematical Methods in Medicine
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Yuan, Sanling, Li, Bo (2009)
Discrete Dynamics in Nature and Society
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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...
Tumwiine, J., Mugisha, J.Y.T., Luboobi, L.S. (2007)
Computational & Mathematical Methods in Medicine
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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....
Piqueira, José Roberto C. (2010)
Mathematical Problems in Engineering
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Huo, Hai-Feng, Dang, Shuai-Jun, Li, Yu-Ning (2010)
Abstract and Applied Analysis
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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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