%0 Journal Article
%T A Viral Infection Model with a Nonlinear Infection Rate
%A Yumei Yu
%A Juan J. Nieto
%A Angela Torres
%A Kaifa Wang
%J Boundary Value Problems
%D 2009
%I Springer
%R 10.1155/2009/958016
%X 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.
%U http://dx.doi.org/10.1155/2009/958016