This paper deals with a set of three partial differential equations involving time-fractional
derivatives and nonlinear diffusion operators. This model helps us to understand the HIV …

This paper considers the nonlinear system of cancer invasion model with haptotaxis effects
in a bounded domain Ω⊂ R n under the homogeneous Neumann and Robin type boundary …

We establish the existence of nonnegative weak solutions to nonlinear reaction–diffusion
system with cross‐diffusion and nonstandard growth conditions subject to the homogeneous …

This work illustrate the solvability of the system consist of tumor cells of two types along with
epithelial cells and mesenchymal densities. The role of proteins matrix metalloproteinases …

One of the calamities in the health sector during the recent years is COVID-19 (Coronavirus
Disease-2019). The COVID-19 pandemic not only leads to a health crisis but also an …

We illustrate the solvability through weak-renormalized solutions for an invasion system of
healthy tissue by a solid tumor under the Dirichlet boundary conditions and the assumptions …

In this paper, we consider a nonlinear cancer invasion mathematical model with
proliferation, growth and haptotaxis effects. We obtain lower bounds for the finite-time blow …

This work deals with the existence of the system consists of coupling dynamics of the two
types of tumor cells among the density of epithelial cells (ECs) and the mesenchymal cells …