Boundedness enforced by mildly saturated conversion in a chemotaxis-May–Nowak model for virus infection

Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion

On a Chemotaxis Model with Saturated Chemotactic Flux

We propose a PDE chemotaxis model, which can be viewed as a regularization of the Patlak-Keller-Segel (PKS) system. Our modification is based on a fundamental physical property of the chemotactic flux function—its boundedness. This means that the cell velocity is proportional to the magnitude of the chemoattractant gradient only when the latter is small, while when the chemoattractant gradient ...

Boundedness and exponential convergence in a chemotaxis model for tumor invasion

Boundedness and Exponential Convergence of a Chemotaxis Model for Tumor Invasion

We revisit the following chemotaxis system modeling tumor invasion

Stability Analysis of a Fractional Order Model of HIV virus and AIDS Infection in the Community

In  this  paper a  non-linear  model  with  fractional  order  is  presented  for  analyzing  and  controlling the  spread  of  HIV virus.  Both  the  disease-free  equilibrium and the endemic equilibrium are  found  and  their  stability is  discussed. The basic reproduction number , which is a function of the constant parameters in the model, plays an essential  role in the stability of  the ...