RT Journal Article
T1 A Viral Infection Model with a Nonlinear Infection Rate
A1 Yu, Yumei
A1 Nieto Roig, Juan José
A1 Torres Iglesias, Ángela J.
A1 Wang, Kaifa
K1 Basic Reproduction Number
K1 Homoclinic Bifurcation
K1 Infection Equilibrium
K1 Viral Infection Model
K1 Degenerate Singular Point
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.
PB SpringerOpen
SN 1687-2770
YR 2009
FD 2009
LK http://hdl.handle.net/10347/22842
UL http://hdl.handle.net/10347/22842
LA eng
NO Yu, Y., Nieto, J., Torres, A., & Wang, K. (2009). A viral infection model with a nonlinear infection rate. Boundary Value Problems, 2009(1), 958016.
NO This work is supported by the National Natural Science Fund of China nos. 30770555 and10571143, the Natural Science Foundation Project of CQ CSTC 2007BB5012, and the ScienceFund of Third Military Medical University 06XG001
DS Minerva
RD 22 abr 2026