Yu, YumeiNieto Roig, Juan JoséTorres Iglesias, Ángela J.Wang, Kaifa2020-06-062020-06-062009Yu, Y., Nieto, J., Torres, A., & Wang, K. (2009). A viral infection model with a nonlinear infection rate. Boundary Value Problems, 2009(1), 958016.1687-2770http://hdl.handle.net/10347/22842A 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.engCopyright © 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 citedhttp://creativecommons.org/licenses/by/2.0Basic Reproduction NumberHomoclinic BifurcationInfection EquilibriumViral Infection ModelDegenerate Singular Pointjournal article10.1155/2009/958016open access