About Me

Scientific interests

A delay differential equation is an equation in which the derivative of a function at time t depends not only on the time t but also on some time (or times) smaller than t. This dependence may be discrete (the derivative depends on some points in the past) or continuous (the derivative depends on some time interval). Delay differential equations generate an infinite dimensional dynamical system. I am studying such systems, examining their asymptotical properties, finding stationary solutions, and proving their stability.

I am interested in studying such systems from a (mathematical) theoretical point of view. However, I prefer systems that are inspired by biological or medical problems and model natural processes. Although the possibilities of analytical studies are limited, they are important and help verify if numerical results are correct.

Sometimes, I study also ordinary differential equations, and reaction-diffusion systems and work with optimal control problems.

My google scholar profile.

Education

Habilitation (2012): Analysis of mathematical properties of delay differential equations that appear in mathematical models of tumour growth or in models of immune system.

Ph.D. thesis (2001): Properties of the solution to DDE versus properties of the solution to ODE, tutor: Mirosław Lachowicz;

Master thesis (1998): Marchuk's Model with immune reactivity depending on time, tutor: Urszula Foryś;