On the optimal control of propagation fronts

A Bressan, MT Chiri, N Salehi - Mathematical Models and Methods …, 2022 - World Scientific
We consider a controlled reaction–diffusion equation, motivated by a pest eradication
problem. Our goal is to derive a simpler model, describing the controlled evolution of a …

The tragedy of the commons: A Mean-Field Game approach to the reversal of travelling waves

Z Kobeissi, I Mazari-Fouquer, D Ruiz-Balet - Nonlinearity, 2024 - iopscience.iop.org
The goal of this paper is to investigate an instance of the tragedy of the commons in spatially
distributed harvesting games. The model we choose is that of a fishes' population governed …

Controlled traveling profiles for models of invasive biological species

A Bressan, M Zhang - ESAIM: Control, Optimisation and Calculus of …, 2024 - esaim-cocv.org
We consider a family of controlled reaction-diffusion equations, describing the spatial
spreading of an invasive biological species. For a given propagation speed c∈ IR, we seek …

The sharp interface limit of an Ising game

WM Feldman, IC Kim, AZ Palmer - ESAIM: Control, Optimisation …, 2024 - esaim-cocv.org
The Ising model of statistical physics has served as a keystone example of phase transitions,
thermodynamic limits, scaling laws, and many other phenomena and mathematical …

Optimal solutions for a class of set-valued evolution problems

S Bianchini, A Bressan, MT Chiri - Calculus of Variations and Partial …, 2025 - Springer
The paper is concerned with a class of optimization problems for moving sets t↦ Ω (t)⊂ R 2,
motivated by the control of invasive biological populations. Assuming that the initial …

Spatial modeling of invasion dynamics: applications to biological control of Aedes spp.(Diptera culicidae)

TQN Nguyen - 2024 - theses.hal.science
In this thesis, we focus on mathematical modeling and analysis of invasion dynamics, with
application to the biological control of Aedes mosquitoes, vectors of various diseases such …

[图书][B] Traveling Waves Arising in the Approximation and Control of PDEs

M Zhang - 2023 - search.proquest.com
The Pennsylvania State University The Graduate School TRAVELING WAVES ARISING IN
THE APPROXIMATION AND CONTROL OF PDES A Dissert Page 1 The Pennsylvania State …

[PDF][PDF] Controlling the spread of invasive biological species

MT Chiri - dcn.nat.fau.eu
Controlling the spread of invasive biological species Page 1 Controlling the spread of invasive
biological species Maria Teresa Chiri Department of Mathematics and Statistics …