All Title Author
Keywords Abstract

A Viral Infection Model with a Nonlinear Infection Rate

DOI: 10.1155/2009/958016

Full-Text   Cite this paper   Add to My Lib


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.


comments powered by Disqus