Analysis of a simple vector-host epidemic model with direct transmission.
Cai, Liming, Li, Xuezhi (2010)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Global dynamics of an epidemic model with a ratio-dependent nonlinear incidence rate.”
Analysis of a simple vector-host epidemic model with direct transmission.
Modeling schistosomiasis and HIV/AIDS codynamics.
Mushayabasa, S., Bhunu, C.P. (2011)
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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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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Persistence of an SEIR model with immigration dependent on the prevalence of infection.
Wang, Wenjuan, Xin, Jingqi, Zhang, Fengqin (2010)
Discrete Dynamics in Nature and Society
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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...
Stability analysis of a delayed SIR epidemic model with stage structure and nonlinear incidence.
Tian, Xiaohong, Xu, Rui (2009)
Discrete Dynamics in Nature and Society
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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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Mathematical model of dengue disease transmission with severe DHF compartment.
Nuraini, N., Soewono, E., Sidarto, K.A. (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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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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Modelling the hepatitis C with different types of virus genome.
Moneim, I.A., Mosa, G.A. (2006)
Computational & Mathematical Methods in Medicine
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Rumor propagation model: an equilibrium study.
Piqueira, José Roberto C. (2010)
Mathematical Problems in Engineering
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Global stability of steady solutions for a model in virus dynamics
Hermano Frid, Pierre-Emmanuel Jabin, Benoît Perthame (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider a simple model for the immune system in which virus are able to undergo mutations and are in competition with leukocytes. These mutations are related to several other concepts which have been proposed in the literature like those of shape or of virulence – a continuous notion. For a given species, the system admits a globally attractive critical point. We prove that mutations do not affect this picture for small perturbations and under strong structural assumptions. Based...