The Department of Mathematics - College of Education for Pure Sciences at the University of Basrah discussed a PhD thesis on the analysis of the finite element method for some nonlinear partial differential equations for chemical attraction problems.
The thesis presented by the researcher Sattar Mozan Hassan Yousef included a mathematical and numerical analysis of four interfering propagation systems that arise in applied mathematics. The first system is the chemoattraction model of two competing colonies using the Keller-Segel model which represents the directed movement of cellular organisms towards an area with a high concentration of a chemical released by the colonies, which studies the population dynamics of two competitive biological species attracted by the same food. The second system is the Keller-Segel model with additional boundaries of overlapping self-diffusion and a logistic source that is designed to describe the movement of colonies as a chemical attractant or chemical repellent.
