Organizers

prof. dr hab. Urszula Foryś

Information

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

Research fields

Biomathematics

List of talks

April 2, 2025, 2:15 p.m.
Bartłomiej Morawski
Neural mass decision-making model with time delay and Hill function
The model of two neuron populations will be investigated, each receiving external signals and influencing each other, which leads to changes in their individual activities. This situation is described using a system of delay differential …
March 26, 2025, 2:15 p.m.
Marcin Choiński (SGGW)
A contiunous-time SIS criss-cross model of co-infection in a heterogeneous population
We introduce and analyze a continuous-time model of co-infection dynamics in a heterogeneous population consisting of two subpopulations that differ in the risk of getting infected by individuals with both diseases. We assume that each …
March 19, 2025, 2:15 p.m.
Mikołaj Rosman (Politechnika Gdańska)
Bistability and chaos in the discrete two-gene Andrecut-Kauffman model
We numerically analyze the dynamics of the two-gene discrete Andrecut-Kauffman model with distinct reaction rates α1 and α2. By exploring bifurcation diagrams and computing the maximum Lyapunov exponent, we identify parameter regions exhibiting chaotic behavior …
March 5, 2025, 2:15 p.m.
Jacek Banasiak (University of Pretoria, South Africa/Politechnika Łódzka)
Direct Lyapunov method - known and less known
The Lyapunov method is the workhorse of the stability theory of dynamical systems. However, mostly only a few possibilities the theory offers are used. In this mostly survey lecture, we will talk about the history …
Feb. 26, 2025, 2:15 p.m.
Silvia Faggian (Dipartimento di Economia, Università "Ca'Foscari" Venezia)
On competition for spatially distributed resources in networks: recent advances
This study examines the dynamics of the exploitation of a natural resource distributed among and flowing between several nodes connected via a weighted, directed network. The network represents the locations and interactions of the resource …
Jan. 22, 2025, 2:15 p.m.
Aleksandra Puchalska (MIM UW)
Pangraphs as models of higher-order interactions
In a classical setting the relations in the ecosystems are modelled by graphs that portray pairwise interactions between species. It is well-proven, though, that higher-order interactions (HOIs) involving simultaneously more than two objects exist in …
Jan. 15, 2025, 2:15 p.m.
Mirosław Lachowicz (MIM UW)
LLull, Condorcet, Schumpeter, and in the end dynamic systems win anyway
There will be a bit about LLull, Condorcet and Schumpeter. I will focus on the idea that what is really interesting about this comes down to questions in dynamical systems.
Dec. 11, 2024, 2:15 p.m.
Svetlana Boyarchenko (The University of Texas at Austin, USA)
Optimal stopping in models with random observations
Quantifying risks related to events that arrive at random times, along with the frequency of their arrivals, is crucial in fields such as finance, insurance, cybersecurity, and disaster management. The standard assumption in the literature …
Nov. 27, 2024, 2:15 p.m.
Argha Mondal (Sidho-Kanho-Birsha University, India and University of Essex, UK)
The role of Mathematical pathways in modeling Computational Neurosciences
UWAGA: Seminarium odwołane. Odbędzie się prawdopodobnie za tydzień online. We study the Mathematical Frameworks for complex analysis of excitatory/oscillatory single neurons and networks for functional mechanisms. It exhibits a highly complex dynamical behavior interconnected via …
Nov. 20, 2024, 2:15 p.m.
Elżbieta Pliś (Uniwersytet Ekonomiczny w Krakowie)
Diversity and evolution of the economic system
In the evolutionary approach to economics, the dynamic of diversity is of particular interest. To analyze the mutual influence of economic evolution on economic diversity, we can use the concept of diversity proposed by Nehring …
Nov. 6, 2024, 2:15 p.m.
Joanna Rencławowicz (IM PAN)
Analysis of two-strain host-vector dengue model with vertical transmission
Dengue fever is a typical mosquito-borne infectious disease. We propose two-strain model describing the dynamics of dengue transmission by both mosquitoes (vectors) and humans (hosts). We include secondary infections (with other strain), causing a severe …
Oct. 30, 2024, 2:15 p.m.
Agnieszka Kozdęba (Uniwersytet Rolniczy w Rzeszowie, doktorantka UJ)
Zastosowanie kawałkami deterministycznych procesów Markowa w modelach stochastycznej ekspresji genów
Oct. 23, 2024, 2:15 p.m.
Anupam Priyadarshi (Banaras Hindu University, India)
Bifurcation Analysis and Optimal Control of a Discrete-Time Tumor Model
Among several treatment approaches for cancer, immunotherapy has emerged as a highly promising approach in modern cancer treatment. We propose a discretized version of a three-dimensional cancer model to explore the interactions between tumor cells, …
Oct. 16, 2024, 2:15 p.m.
Marek Kryspin (Politechnika Wrocławska)
ODEs with general delay. Continuous dependence on measures
The talk will present results concerning non-autonomous linear ODEs with delay (defined by an integral with respect to time-varying measures). In addition to standard results on the existence and uniqueness of solutions for such equations, …
Oct. 9, 2024, 2:15 p.m.
Maria Vela-Pérez (Universidad Complutense de Madrid)
Mathematical modeling for the COVID-19 pandemic
Since the emergence of the novel coronavirus SARS-CoV-2 in 2019, numerous mathematical models have been developed to analyze the progression of the COVID-19 pandemic [1, 2]. By late 2020, with the distribution of vaccines and …