Organizers

prof. dr hab. Urszula Foryś

Information

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

Research fields

Biomathematics

List of talks

Jan. 8, 2020, noon
Dominika Jasińska (MCSU Lublin / MIM UW)
Immigration model of infinite age-structured populations
In this talk, we will see some recent results concerning the spatial immigration model of infinite age-structured populations. Using the correlation functions instead of the backward Kolmogorov equation one can consider an infinite chain of …
Dec. 18, 2019, noon
Adam Błoch (Politechnika Łódzka)
Stability of compartmental disease transmission models via Lyapunov functions and basic reproduction number
Stability of the disease-free equilibrium is the crucial part of investigation of a compartmental disease transmission model. One of the most effective tools in study of stability are Lyapunov functions which in case of epidemiological …
Dec. 11, 2019, noon
Marcin Choiński (MIM UW)
Continuous and discrete models of epidemic spread in heterogeneous populations.
Models of spread of infectious disease in heterogeneous populations will be presented. Firstly, the case when population is homogeneous will be considered. The continuous model for this case will be introduced. Next, I will present …
Dec. 4, 2019, noon
Dariusz Wrzosek (MIM UW)
Mathematical models of taxis
Taxis is an oriented movement of biological cells or individuals toward gradient of some stimulus distributed in the environment. This mechanism, ubiquitous in nature, occurs at all levels of complexity of biological systems, starting from …
Nov. 27, 2019, noon
Purnedu Mishra (post-doc MIM UW)
Mathematical modelling of anti-predator behavior in predator-prey systems
Some studies have suggested that prey species stand to benefit most by defending during predator-prey encounters, but species in nature employ anti-predator defenses at various stages of interactions with their predators. The mechanism for maintaining …
Nov. 20, 2019, noon
Iwona Chlebicka (MIM UW)
PDEs in inhomogeneous and anisotropic spaces with general data
I would like to present an introduction to equations describing diffusion-type processes in media of complicated structure. This type of problems require to employ unconventional functions spaces. I will try to give some intuition by …
Nov. 6, 2019, noon
Agnieszka Wiszniewska-Matyszkiel / Mirosław Lachowicz (MIM UW / MIM UW)
"The tragedy of the commons" in various aspects and theory of dynamic games and dynamic optimization / Opinion dynamics: "E pur si spera"?
Oct. 30, 2019, 12:15 p.m.
Aleksadra Puchalska / Miroslaw Lachowicz (MIM UW / MIM UW )
'Impact of exchange in nodes' mechanisms on the asymptotic properties of network transport model / Opinion dynamics: 'E pur si spera'?'
A. Puchalska (MIM UW), Mixed PDE-ODE network problem with McKendrick boundary condition; Abstract: In the talk we present a new network model with dynamics described by transport equation on edges and ODEs in vertices. Transfer …
Oct. 23, 2019, 12:15 p.m.
Dominika Jasińska / Jurij Kozicki (Maria Curie-Sklodowska University, Lublin)
Dynamics of infinite age-structured populations / A Markov process for an infinite interacting particle system in the continuum
(1) Dominika Jasińska (Maria Curie-Sklodowska University, Lublin, and MIM UW, Poland) "Dynamics of infinite age-structured populations": Abstract: A Markov evolution of an infinite age-structured population of migrants is studied. Its members are point entities characterized …
Oct. 16, 2019, 12:15 p.m.
Jacek Miękisz / jan Karbowski (MIM UW / MIM UW)
Towards singular perturbations in Markov jump processes / Biophysical basis of learning and memory
Oct. 9, 2019, 12:15 p.m.
Monika Piotrowska and Marek Bodnar (MIM)
Seminar of Section of Biomathematics and Game Theory
Oct. 9, 2019, 12:15 p.m.
Monika Piotrowska and Marek Bodnar (MIM)
Seminar of Section of Biomathematics and Game Theory
June 12, 2019, 2:15 p.m.
Raffi Vardanyan ((doktorant MIM) )
Three-player games with strategy-dependent time delays
In this presentation the results of the cooperative project with Jacek Miekisz and Marek Bodnar about replicator dynamics with strategy-dependent time delays in three-player games are presented. Certain parameters are considered providing one pure and …
May 29, 2019, 2:15 p.m.
Fayz Ali Al-hag (doktorant MIM)
Sustainability of social optima and Nash equilibria in a differential game of resource extraction
In this presentation we study a game related to a model of sustainability of social optima and Nash equilibria in a differential game of resource extraction in infinite time horizon. We study the social optimum …
April 24, 2019, 2:15 p.m.
Adam Prosiński (Oxford University)
Calculus of variations in the anisotropic setting
In this talk, we will review some recent results concerning existence and regularity of minimizers of anisotropic variational problems. The anisotropy that we have in mind concerns different orders of derivation in different directions, thus …