Individual-Based Models and Their Limits

Ryszard Rudnicki, born in 1957, holds an M.Sc. in Mathematics (1980), a Ph.D. (1987), and a Habilitation (1993) from the University of Silesia, Katowice, Poland. He was awarded the scientific title of Professor in 2001 by the Institute of Mathematics of the Polish Academy of Sciences (IMPAS). He currently serves as a Full Professor, the Head of the Katowice Branch of IMPAS, and the Vice-Director of the Mathematical Center for Applications in Science and Technology at IMPAS.From 1980 to 2012, he worked in the Department of Mathematics at the University of Silesia, Katowice. His professional interests include biomathematics, dynamical systems, stochastic processes, and differential equations. He has authored 100 scientific papers, most of which focus on the application of mathematics to biological problems. He has also written four books, including the monograph Piecewise Deterministic Processes in Biological Models (Springer, 2017) with M. Tyran-Kamińska, published in the same series as his proposed book. Several of his papers focus on Individual-Based Models and limit theorems.Radosław Wieczorek is an adjunct professor at the Institute of Mathematics, University of Silesia in Katowice. He graduated both mathematics and physics, but chose to work in biomathematics and got his PhD for the research on fragmentation-coagulation models of phytoplankton at the Institute of Mathematics of Polish Academy of Sciences. His research interests focus on individual-based stochastic processes, especially applied to biological phenomena. He has written a number of papers concerning convergence of the individual-based models.

• - 1. Models.- 2. Limit Passages.- 3. Central Limit-type Theorems.- 4. Selected Superprocesses.- 5. Phenotype Models.- 6. Modelling of Phytoplankton Dynamics.- 7. Chemotaxis Models.