A Viral Infection Model with a Nonlinear Infection Rate
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Título: | A Viral Infection Model with a Nonlinear Infection Rate |
Autor/a: | Yu, Yumei Nieto Roig, Juan José Torres Iglesias, Ángela Juana Wang, Kaifa |
Centro/Departamento: | Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización Universidade de Santiago de Compostela. Departamento de Psiquiatría, Radioloxía, Saúde Pública, Enfermaría e Medicina |
Palabras chave: | Basic Reproduction Number | Homoclinic Bifurcation | Infection Equilibrium | Viral Infection Model | Degenerate Singular Point | |
Data: | 2009 |
Editor: | SpringerOpen |
Cita bibliográfica: | Yu, Y., Nieto, J., Torres, A., & Wang, K. (2009). A viral infection model with a nonlinear infection rate. Boundary Value Problems, 2009(1), 958016. |
Resumo: | A viral infection model with a nonlinear infection rate is constructed based on empirical evidences. Qualitative analysis shows that there is a degenerate singular infection equilibrium. Furthermore, bifurcation of cusp-type with codimension two (i.e., Bogdanov-Takens bifurcation) is confirmed under appropriate conditions. As a result, the rich dynamical behaviors indicate that the model can display an Allee effect and fluctuation effect, which are important for making strategies for controlling the invasion of virus. |
Versión do editor: | https://doi.org/10.1155/2009/958016 |
URI: | http://hdl.handle.net/10347/22842 |
DOI: | 10.1155/2009/958016 |
ISSN: | 1687-2770 |
Dereitos: | Copyright © 2009 Yumei Yu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited |
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