Organizers

prof. dr hab. Urszula Foryś

Information

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

Research fields

Biomathematics

List of talks

April 17, 2019, 2:15 p.m.
Dominika Machowska (Uniwersytet Łódzki)
Delayed and cumulative effects of advertising in a cooperative or competitive environment
In this talk, I investigate the goodwill dynamics evolved à la Nerlove–Arrow in which delayed or cumulative effects of advertising is included. As a result, a cooperative differential game is formulated for which I investigate …
March 27, 2019, 2:15 p.m.
Marcin Choiński (Uniwersytet Warszawski (MIM))
Flip bifurcation in discrete models
I will talk about flip bifurcation, which can occur in discrete models. Firstly, I will define what the flip bifurcation is, then I will analyze this kind of bifurcation in Ricker's population equation. The presentation …
March 13, 2019, 2:15 p.m.
Urszula Foryś (Uniwersytet Warszawski (MIM))
More about Lyapunov function for simple epidemic models
During my previous presentation I have shown some examples of Lyapunov functions for simple epidemic model with constant influx to the susceptible population. However, presented functions do not work for no influx. I would like …
March 6, 2019, 2:15 p.m.
Piotr Bajger (doktorant MISDoMP)
Effects of Pharmacokinetics and DNA Repair on the Structure of Optimal Controls in a Simple Model of Radio-chemotherapy
In this talk two models of radiochemotherapy are considered. A reference simple model adopts a classical log-kill hypothesis for chemotherapy and a linear-quadratic response for radiotherapy. The model is represented by first order nonlinear differential …
Feb. 28, 2019, 12:30 p.m.
Natalia Bielczyk (PhD candidate Stichting Solaris Onderzoek en Ontwikkeling, Nijmegen, the Netherlands)
On applied mathematics in brain research & on the open project entitled 'Effective Self-Management for Early Career Researchers in the Natural Sciences
In this seminar, I will review two topics. Firstly, I will briefly review my PhD research within the Donders Graduate School, Donders Institute for Brain, Cognition and Behavior, Nijmegen, the Netherlands. My work concerns developing …
Jan. 23, 2019, 2:15 p.m.
Jacek Sroka (MIM)
Simulating millions of interacting cells modelled with Quasi-Steady State Petri Net
I will present the the Quasi-Steady State Petri Net (QSSPN) model and explain how we can simulate populations of millions of interacting cells with modern cluster computing frameworks (the same that are used to analyse …
Dec. 5, 2018, 2:15 p.m.
Rajani Sinhg
Energy consumption in Bitcoin Mining: A Game Theoretic Analysis
Bitcoin is a decentralized cryptocurrency payment system, working without a single administrator or a third party bank. A bitcoin is created by miners, using complex mathematical "proof of work" procedures by computing hashes. For each …
Nov. 28, 2018, 2:15 p.m.
Krzysztof Fujarewicz (Politechnika Śląska)
“Sensitivity analysis of systems with delays”
During the lecture the structural approach to sensitivity analysis, both forward and adjoint, will be presented. It is assumed that the system with discrete delay(s) is given in a structural form – as a block …
Nov. 14, 2018, 2:15 p.m.
Marcin Choiński (Uniwersytet Warszawski (MIM))
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission - KONTYNUACJA
I will talk about the results presented in the article of P. van den Driessche and J. Watmough. The definition of the basic reproduction number (R0) and the criterion for the existence and stability of …
Nov. 7, 2018, 2:15 p.m.
Marcin Choiński (Uniwersytet Warszawski (MIM))
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
I will talk about the results presented in the article of P. van den Driessche and J. Watmough. The definition of the basic reproduction number (R0) and the criterion for the existence and stability of …
Oct. 24, 2018, 2:15 p.m.
Mariusz Bodzioch (Uniwersytet Warmińsko-Mazurski w Olsztynie)
SIS criss-cross models of tuberculosis in heterogenous populations
We propose a model of tuberculosis (TB) transmission in a heterogeneous population consisting of two different subpopulations, like homeless and non-homeless people. We use the criss-cross model to describe the illness dynamics. This criss-cross model …
June 6, 2018, 2:15 p.m.
Katarzyna Szymańska-Dębowska (Politechnika Łódzka)
Canard solutions in equations with backward bifurcations
We consider a delayed exchange of stabilities for solutions of a singularly perturbed nonautonomous equation in the case when a backward bifurcation of its quasi--steady (critical) manifolds occurs. This result is applied to provide a …
May 30, 2018, 2:15 p.m.
Rajani Singh (Uniwersytet Warszawski (MIM))
An infinite horizon dynamic optimization problem with constraints and applications to resource extraction problems
I would like to present our research work where we analyse an infinite horizon dynamic optimization problem -- a generalization of a linear quadratic problem with state dependent constraints. This model suits well extraction of …
May 23, 2018, 2:15 p.m.
Adam Korpusik (Uniwersytet Warmińsko-Mazurski w Olsztynie)
Best" nonlocal discretization method for 2-dimensional population models
I will present a nonstandard finite difference method designed for numerical simulation of 2-dimensional mathematical models of population dynamics. The proposed method is based solely on the principle of nonlocal discretization. Independently of the chosen …
May 16, 2018, 2:15 p.m.
Marcin Choiński (Uniwersytet Warszawski (MIM))
Analysis of a criss-cross model of tuberculosis for homeless and non-homeless subpopulations
We consider a criss-cross model describing tuberculosis epidemic dynamics, which is a modification of the model presented in Romaszko et al. In the model the population is divided into subpopulations of non-homeless and homeless people. …