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Cotygodniowe seminarium badawcze.
2020-01-22, godz. 12:00, 5070
Mateusz Dębowski (MIM UW)
Mathematical aspects of the initial stage of M-phase of the cell cycle
We are going to present a specific mathematical model describing dynamics of proteins in the initial stage of M-phase of the cell cycle. We are going to show the importance and some mathematical aspects of appearance of inflection points of some of the variables involved in process....
2020-01-08, godz. 12:00, 5070
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 linear equations. By employing the correlation functions we...
2019-12-18, godz. 12:00, 5070
Adam Błoch (Politechnika Łódzka)
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 models are strictly connected with the basic reproduction number...
2019-12-11, godz. 12:00, 5070
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 the continuous model for the case of heterogeneous population. The s...
2019-12-04, godz. 12:00, 5070
Dariusz Wrzosek (MIM UW)
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 a sub-cellular level through tissue levels up to the intersp...
2019-11-27, godz. 12:00, 5070
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 complex food webs has been a central issue in ec...
2019-11-20, godz. 12:00, 5070
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 showing their nice properties and difficulties one faces while...
2019-11-06, godz. 12:00, 5070
Agnieszka Wiszniewska-Matyszkiel / Mirosław Lachowicz (MIM UW / MIM UW)
2019-10-30, godz. 12:15, 5070
Aleksadra Puchalska / Miroslaw Lachowicz (MIM UW / MIM UW )
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 from edges is defined by McKendrick boundary conditions. System can ...
2019-10-23, godz. 12:15, 5070
Dominika Jasińska / Jurij Kozicki (Maria Curie-Sklodowska University, Lublin)
(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 by their spat...
