Laboratoire de Mathématiques Raphaël Salem

UMR 6085 CNRS - Université de Rouen Normandie

Speakers: Serena Dipierro, Benoit Sarrels, Ousman Seydi, Enrico Valdinoci

Program:
10.00 welcome
10.30 Claire Alamichel
11.20 Serena Dipierro
12.10 lunch break
14.00 Enrico Valdinoci
14.50 Ousmane Seydi
15.40 coffee break
16.00 end of the day
 

Titles and abstracts:

Claire Amichel - Study of the influence of the cell nucleus on cell motility: modelling and numerical simulations
Abstract: Cell motility is a phenomenon involved in many biological processes such as cancer spread, immune response, wound healing, or embryonic development. After presenting the biological context, I will present a 2D free-boundary model for this phenomenon. I will present results on the existence and stability of steady states. Finally, I will present a finite element numerical scheme enabling numerical simulations to be carried out, highlighting the influence of the nucleus on cell motility.

Serena Dipierro - (Non)local logistic equations with Neumann conditions
Abstract: In this talk, we consider a problem of population dynamics modeled on a logistic equation with both classical and nonlocal diffusion, possibly in combination with a pollination term.  The environment considered is a niche with zero-flux, according to a new type of Neumann condition. We discuss the situations that are more favorable for the survival of the species, in terms of the first positive eigenvalue. We also analyze the role played by the optimization strategy in the distribution of the resources, showing concrete examples that are unfavorable for survival, in spite of the large resources that are available in the environment.

Ousmane Seydi - Invariance in non-densely defined evolution problems and applications in biology
Abstract: In this talk, I will present some recent results on flow invariance for semilinear systems governed by non-densely defined operators. These results broaden classical invariance theory to cover a wider class of evolution problems that naturally arise in structured population models. Beyond the theoretical developments, I will illustrate how this framework can be applied to questions in population dynamics and mathematical biology, including the analysis of age-structured and eco-epidemiological systems.

Enrico Valdinoci -  Bushfire analysis and modelling
Abstract: This seminar will explore recent applications of mathematical modelling in the study of forest fires, with a focus on forecasting their evolution and planning effective intervention strategies.