Mathematical model for HIV/AIDS with complacency in a population with declining prevalence.
Baryarama, F., Mugisha, J.Y.T., Luboobi, L.S. (2006)
Computational & Mathematical Methods in Medicine
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Baryarama, F., Mugisha, J.Y.T., Luboobi, L.S. (2006)
Computational & Mathematical Methods in Medicine
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Roberts, M.G. (2000)
Journal of Applied Mathematics and Decision Sciences
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Moghadas, Seyed M., Gumel, Abba B., McLeod, Robert, Gordon, Richard (2003)
Journal of Theoretical Medicine
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Mushayabasa, S., Bhunu, C.P. (2011)
Computational & Mathematical Methods in Medicine
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Soewono, Edy, Supriatna, Asep K. (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Baryarama, F., Mugisha, J.Y.T., Luboobi, L.S. (2006)
Computational & Mathematical Methods in Medicine
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de Arazoza, H., Lounes, R., Hoang, T., Interian, Y. (2000)
Journal of Theoretical Medicine
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W. E. Fitzgibbon, M. Langlais, J. J. Morgan, D. Pontier, C. Wolf (2003)
Banach Center Publications
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Global existence results and long time behavior are provided for a mathematical model describing the propagation of Feline Panleucopenia Virus (FPLV) within a domestic cat population; two transmission modes are involved: a direct one from infective cats to susceptible ones, and an indirect one from the contaminated environment to susceptible cats. A more severe impact of the virus on young cats requires an age-structured model.
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...