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Motivated by the control of invasive biological populations, we consider a class of optimization problems for moving sets $t\mapsto \Omega(t)\subset\mathbb{R}^2$. Given an initial set $\Omega_0$, the goal is to minimize the area of the…

Optimization and Control · Mathematics 2022-01-06 Alberto Bressan , Maria Teresa Chiri , Najmeh Salehi

We study a dynamical model of a population of cooperators and defectors whose actions have long-term consequences on environmental "commons" - what we term the "resource". Cooperators contribute to restoring the resource whereas defectors…

Systems and Control · Computer Science 2025-05-06 Keith Paarporn , Ceyhun Eksin , Joshua S. Weitz , Yorai Wardi

The Sterile Insect Technique (SIT) against insect pests and insect vectors consists of releasing males that have been previously sterilized in order to reduce or eliminate a specific wild population. We study this complex control question…

Optimization and Control · Mathematics 2026-05-26 Cédric Join , Luis Almeida , Michel Fliess

A deterministic nonlinear ordinary differential equation model for mosquito dynamics in which the mosquitoes can quest for blood either within a human population or within non-human/vertebrate populations is derived and studied. The model…

Populations and Evolution · Quantitative Biology 2024-12-10 Gideon A. Ngwa , Bime M. Ghakanyuy , Miranda I. Teboh-Ewungkem , Jacek Banasiak

This paper studies a model for the optimal control (by a centralized economic agent which we call the planner) of pollution diffusion over time and space. The controls are the investments in production and depollution and the goal is to…

Theoretical Economics · Economics 2026-01-09 Fausto Gozzi , Marta Leocata , Giulia Pucci

In this paper, we study the problem of controlling a two-dimensional robotic swarm with the purpose of achieving high level and complex spatio-temporal patterns. We use a rich spatio-temporal logic that is capable of describing a wide range…

Systems and Control · Computer Science 2016-09-21 Iman Haghighi , Sadra Sadraddini , Calin Belta

The dynamic of real-world optimization problems raises new challenges to the traditional particle swarm optimization (PSO). Responding to these challenges, the dynamic optimization has received considerable attention over the past decade.…

Neural and Evolutionary Computing · Computer Science 2019-03-27 Ahlem Aboud , Raja Fdhila , Adel M. Alimi

Invasive species have been recognized as a leading threat to biodiversity. In particular, lakes are especially affected by species invasions because they are closed systems sensitive to disruption. Accurately controlling the spread of…

Populations and Evolution · Quantitative Biology 2018-09-18 Katherine Y. Zipp , Yangqingxiang Wu , Kaiyi Wu , Ludmil T. Zikatanov

We consider a problem of optimal swarm tracking which can be formulated as a tracking problem for distributions in the Wasserstein space. Optimal solutions to this problem are non-causal and require knowing the time-trajectory of the…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Max Emerick , Jared Jonas , Bassam Bamieh

Sterile Insect Technique (SIT) is widely regarded as a promising, environmentally friendly and chemical-free strategy for the prevention and control of dengue and other vector-borne diseases. In this paper, we develop and analyze a…

Numerical Analysis · Mathematics 2026-03-26 Oscar Eduardo Escobar-Lasso , Stefan Frei , Reinhard Racke , Olga Vasilieva

In this letter, we present a constraint-driven optimal control framework that achieves emergent cluster flocking within a constrained 2D environment. We formulate a decentralized optimal control problem that includes safety, flocking, and…

Optimization and Control · Mathematics 2022-03-22 Logan E. Beaver , Andreas A. Malikopoulos

In this work we present a mathematical model that integrates the epidemiological dynamics of a vector-borne disease (SIR-SI) with Lotka Volterra predator prey ecological interactions. The study analyzes how the presence of natural predators…

Optimization and Control · Mathematics 2026-02-09 Rocio Balderrama , Ignacio Ceresa Dussel , Constanza Sanchez de la Vega

Consider a species whose population density solves the steady diffusive logistic equation in a heterogeneous environment modeled with the help of a spatially non constant coefficient standing for a resources distribution in a given box. We…

Analysis of PDEs · Mathematics 2018-07-25 Idriss Mazari , Grégoire Nadin , Yannick Privat

West Nile virus (WNV) is a mosquito-borne virus in the genus Flavivirus that circulates between mosquitoes and birds, whereas humans, equids, and other mammals are dead-end hosts. Since its emergence in Germany in 2018, the virus has spread…

Populations and Evolution · Quantitative Biology 2026-03-18 Pride Duve , Felix Gregor Sauer , Renke Lühken

We use optimal control theory with the purpose of finding the best spraying policy with the aim of at least to minimize and possibly to eradicate the number of parasites, i.e., the prey for the spiders living in an agroecosystems. Two…

Optimization and Control · Mathematics 2017-06-01 Cristiana J. Silva , Delfim F. M. Torres , Ezio Venturino

This paper introduces a spatiotemporal SEIQR epidemic model governed by a system of reaction-diffusion partial differential equations that incorporates optimal control strategies. The model captures the transmission dynamics of an…

Dynamical Systems · Mathematics 2025-07-29 Achraf Zinihi , Matthias Ehrhardt , Moulay Rchid Sidi Ammi

In this paper, we present a novel approach to the development and deployment of an autonomous mosquito breeding place detector rover with the object and obstacle detection capabilities to control mosquitoes. Mosquito-borne diseases continue…

Mathematical modelling can help to explain the nature and dynamics of infection transmissions, as well as support a policy for implementing those strategies that are most likely to bring public health and economic benefits. The paper…

Optimization and Control · Mathematics 2015-09-01 Roman Denysiuk , Cristiana J. Silva , Delfim F. M. Torres

In this paper, we present an original set of flocking rules using an ecologically-inspired paradigm for control of multi-robot systems. We translate these rules into a constraint-driven optimal control problem where the agents minimize…

Multiagent Systems · Computer Science 2021-06-22 Logan E. Beaver , Andreas A. Malikopoulos

Mosquito-borne diseases cause several hundred thousand deaths every year. Deciphering mosquito host-seeking behavior is essential to prevent disease transmission through mosquito capture and surveillance. Despite recent substantial…

Biological Physics · Physics 2025-05-22 Christopher Zuo , Chenyi Fei , Alexander E. Cohen , Soohwan Kim , Ring T. Carde , Jörn Dunkel , David L. Hu
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