Date and time: November 24, 2025, 2:00 pm Place: Room 503, Institute of Mathematics and Informatics Title: Modelling financial crisis propagation as an epidemic on multiplex networks Lecturer: Dr. Malvina Bozhidarova (Russell Group Limited) Abstrac: We propose a novel framework for modelling the spread of financial crises in complex networks, combining financial data, Extreme Value Theory and an epidemiological transmission model. We accommodate two key aspects of contagion modelling: fundamentals-based contagion, where the transmission is due to direct financial linkages, and pure contagion, where a crisis might trigger additional crises due to global effects. We use stock price, geographical location and economic sector data for a set of companies to construct multiplex networks of four layers, on which a Susceptible-Infected-Recovered transmission model is defined, [...]

The next meeting of the seminar of the Mathematical Modeling and Numerical Analysis Department  will be held on April 23, 2025, at 2:00 pm in Room 478 of IMI - BAS.  A talk on: Multiscale Leading Edge and Bulk Dynamics for Tumour Invasion in Fibrous Environment will be delivered by Dr. Dumitru Trucu (University of Dundee, Шотландия). Abstract: Despite all recent in vivo, in vitro, and in silico advances, the understanding of the genuine biologically multiscale process of solid tumour invasion remains one of the greatest open questions for scientific community. In this talk we present novel mathematical multiscale moving boundary modelling and structural analytical approaches for tumour invasion. Specifically, we focus on characterising mathematically key aspects of the dynamic interactions that the migratory cancer cells [...]

The next meeting of the seminar of the Mathematical Modeling and Numerical Analysis Department  will be held on January 30, 2025, at 2:00 pm in Zoom.  A talk on: Some mathematical aspects of simulation modeling of physiological processes in plants will be delivered by Dr. Alex Topaj (Bureau Hyperborea Ltd). Abstract: The contribution presents the author’s experience of using mathematical methods to describe plant physiology processes in applied crop models. In contrast to the simplified data-based empirical approach, the mechanistic description of plant vital processes in theory allows us to obtain new knowledge and to develop the universal crop models with parameters having physical meaning. Such explanatory models, in addition to the traditional cause-and-effect method (the flow-balance approach, leading to systems of differential or [...]

The next meeting of the seminar of the Mathematical Modeling and Numerical Analysis Department  will be held on September 18, 2024, at 2:00 pm in Room 478 of the Institute of Mathematics and Informatics. A talk on: Singular perturbation theory in epidemic modelling will be delivered by Sara Sottile (University of Bologna, Italy). Abstract: In real world scenarios, the natural phenomena usually evolve on time scales differing by various orders of magnitude. Such separation in time-scales can be found, for example, in the field of chemical oscillations [1], neuroscience [2], ecology [3] or opinion/information spreading [4]. In this context, Geometric Singular Perturbation Theory (GSPT) is a powerful analytical technique which fully exploits the underlying time-scale separation. Epidemiological models also provide a natural fit for these [...]

The seminar of the Mathematical Modeling and Numerical Analysis Department will have its next meeting as follows: Date: November 28, 2023, 2:00 pm Place: Conference Room of IMI - BAS Title: Application of Mathematical and Statistical Models and Methods in Forest and Agricultural Land Monitoring Using Remote Sensing Data Speakers: Prof. Lachezar Filchev, Ch. Assist. Prof. Desislava Ganeva, Ch. Assist. Prof. Ilina Kamenova and Ch. Assist. Prof. Zlatomir Dimitrov from ICIT - BAN  

The next meeting of the seminar of the Department of Mathematical Modeling and Numerical Analysis will be held on March 6, 2023, Monday, at 2:00 pm in Room 503 of the Institute of Mathematics and Informatics. A talk on Fractional models with applications to infectious diseases dynamics and control theory will be delivered by Faïçal Ndaïrou, postdoc fellow under the PICOM program. Abstract. In this talk, I will start by presenting some recent models of fractional calculus and their connection to previously introduced in the litterature. Mainly, I will focus on fractional models with general analytic kernel as they include many existing operators as particular cases. Then, as an application, a detail analysis of a fractional mathematical model of COVID–19 transmission dynamics reflecting realities [...]

The next meeting of the seminar of the Department of Mathematical Modeling and Numerical Analysis will be held on November 28, 2022, Monday, at 2:00 pm, in Room 403 of the Institute of Mathematics and Informatics. A talk on: Numerical solution of the two dimensional stationary Boussinesq Paradigm Equation will be delivered by Krasimir Angelov, in which he will present the results of his dissertation.  

The next meeting of the Department of Mathematical Modelling and Numerical Analysis will be held on November 7, 2022 (Monday) at 2:00 pm in Room 403 of the Institute of Mathematics and Informatics. A talk on: Mathematical modeling of bioprocesses with the use of fractional order derivatives will be delivered by Vladimira Suvandzhieva (doctoral student at the MMNA Department), in which she will present the results of her graduation thesis. Abstract: This work brings together two recently discussed topics: mathematical modeling of a bioreactor and working with derivatives of non-integer order. Generally, it turns out that it is reasonable to replace the integer order derivatives in some of the already well known mathematical models describing bioprocesses with fractional order ones. However, the specific structure [...]