TY - JOUR AU - Yu, Yumei AU - Nieto, JuanJ AU - Torres, Angela AU - Wang, Kaifa PY - 2009 DA - 2009/06/29 TI - A Viral Infection Model with a Nonlinear Infection Rate JO - Boundary Value Problems SP - 958016 VL - 2009 IS - 1 AB - 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. SN - 1687-2770 UR - https://doi.org/10.1155/2009/958016 DO - 10.1155/2009/958016 ID - Yu2009 ER -