Organizers

prof. dr hab. Urszula Foryś

Information

Wednesdays, 2:15 p.m. , room: 5070

Research fields

Biomathematics

List of talks

April 4, 2012, 4:15 p.m.
Jurij Kozicki (UMCS)
Markov Dynamics in a Spatial Ecological Model with Dispersion and Competition Part II but hopefully self-contained
March 28, 2012, 4:15 p.m.
Beata Zduniak (Uniwersytet Warszawski)
INFLUENCE OF DELAYED FEEDBACK ON MODIFIED VAN DER POL OSCILLATOR
Modified van der Pol equation can be used to describe the activity of elements of electrical conduction system of human heart: sinoatrial node (SA), atrioventicular node (AV), and His Purkinje system. This model has a …
March 21, 2012, 4:15 p.m.
Jacek Banasiak (KwaZulu-Natal, Durban)
Classical solutions of fragmentation-coagulation equations with unbounded coagulation rates
So far fragmentation-coagulation equations with strong coagulation have been analysed using weak compactness techniques which only yielded weak solutions. Recently we have proved that the fragmentation operator is sectorial which, combined with some interpolation techniques, …
March 14, 2012, 4:15 p.m.
Jurij Kozicki (UMCS)
Markov Dynamics in a Spatial Ecological Model with Dispersion and Competition
The evolution of an individual-based spatial ecological model with dispersion and competition is studied. In the model, an infinite number of individuals, point particles in R^d, reproduce themselves, compete, and die at random. These events …
March 7, 2012, 4:15 p.m.
Urszula Foryś (Uniwersytet Warszawski)
On some SIRC epidemic model and vaccination strategies
We consider a model of SIRC type, taking into account four groups: susceptible, infected, removed and carriers. We study the dynamics in two interesting cases: when a positive steady state does not exist and when …
Feb. 29, 2012, 4:15 p.m.
Tatyana Ryabukha (Institute of Mathematics, National Academy of Sciences of Ukraine and MIMUW)
Equilibrium solutions for a microscopic model of population dynamics
Mirosław Lachowicz (MIMUW)Introduction to Tatiana's talkIn the talk, the problem of existence and uniqueness of equilibrium solutions to a microscopic model of population dynamics will be discussed. The model is a modified Liouville equation corresponding …
Feb. 22, 2012, 4:15 p.m.
Urszula Foryś (Uniwersytet Warszawski)
Chinese reminiscences
Jan. 18, 2012, 4:15 p.m.
Jędrzej Jabłoński (Uniwersytet Warszawski)
case of fish and Daphnia (Modeling mortality of a size-structured population using optimization approach to predator's behaviour)
Existing models of fish predation are either descriptive or lack realistic assumptions on predator's motion. Presented model fills this gap. The pure optimization approach gives answers not only about prey mortality, but also about predator's …
Dec. 14, 2011, 4:15 p.m.
Tatiana Ryabukha (Institute of Mathematics, National Academy of Sciences of Ukraine and MIMUW)
The Liouville Equation for a Stochastic Particle System
Dec. 7, 2011, 4:15 p.m.
Marek Bodnar (Uniwersytet Warszawski)
Friction dominated dynamics of interacting particles locally close to a crystallographic lattice towards conclusion but of course self contained
Nov. 30, 2011, 4:15 p.m.
Marek Bodnar (Uniwersytet Warszawski)
Friction dominated dynamics of interacting particles locally close to a crystallographic lattice. Self-contained continuation
Nov. 23, 2011, 4:15 p.m.
Karol Wawrzyniak (ICM UW & National Centre for Nuclear Research)
On Phenomenology, Dynamics and some Applications of the Minority Game
Minority game (MG) was designed as a microscopic model of adaptive behavior observed in multi-agent systems where being in minority is profitable. It was shown that the MG exhibits different modes of behavior, depending on …
Nov. 16, 2011, 4:15 p.m.
Marek Bodnar (Uniwersytet Warszawski)
Friction dominated dynamics of interacting particles locally close to a crystallographic lattice
We study a system of particles, in general d-dimensional space, that interact by means of pair potential and adjust their positions according to the gradient flow dynamics induced by the total energy of the system. …
Oct. 19, 2011, 4:15 p.m.
Roman Cherniha, (Institute of Mathematics of NASU, National University 'Kyiv-Mohyla Academy ')
Mathematical model for fluid-glucose-albumin transport in dialysis and its steady-state solutions
Mathematical description of fluid and solute transport between blood anddialysis fluid in the peritoneal cavity has not been formulated fully yet,in spite of the well known basic physical laws for such transport. Recentmathematical, theoretical and …
Oct. 12, 2011, 4:15 p.m.
Maria Vela-Perez (IE University, Segovia)
Geodesic paths in simple graphs for some social insects
Social insects are an important example of complex collective behavior.In particular, ant colonies develop diff erent tasks as foraging, buildingand allocation [1]. While they search for food they deposit a pheromonethat it is considered as …