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We introduce a new coordination problem in distributed computing that we call the population stability problem. A system of agents each with limited memory and communication, as well as the ability to replicate and self-destruct, is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-09 Shafi Goldwasser , Rafail Ostrovsky , Alessandra Scafuro , Adam Sealfon

Vector control is critical to limit the circulation of vector-borne diseases like chikungunya, dengue or zika which have become important issues around the world. Among them the Sterile Insect Technique (SIT) and the Incompatible Insect…

Dynamical Systems · Mathematics 2018-05-28 Martin Strugarek , Herve Bossin , Yves Dumont

According to the World Health Organization the global incidence rate of dengue infections have risen drastically in recent years. It is estimated that globally the number of new infections is in the range of $100$ to $400$ million per…

Populations and Evolution · Quantitative Biology 2021-11-09 Jozsef Z. Farkas , Stephen A. Gourley , Rongsong Liu

These notes provide a survey of recent results and open problems on the boundary control of moving sets. Motivated by the control of an invasive biological species, we consider a class of optimization problems for a moving set $t\mapsto…

Optimization and Control · Mathematics 2025-02-11 Alberto Bressan

Epidemic outbreaks in human populations are facilitated by the underlying transportation network. We consider strategies for containing a viral spreading process by optimally allocating a limited budget to three types of protection…

Systems and Control · Computer Science 2013-10-21 Victor M. Preciado , Michael Zargham , David Sun

A new stochastic control problem of population dynamics under partial observation is formulated and analyzed both mathematically and numerically, with an emphasis on environmental and ecological problems. The decision-maker can only…

Optimization and Control · Mathematics 2020-04-13 Hidekazu Yoshioka , Yuta Yaegashi , Motoh Tsujimura

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

Optimization and Control · Mathematics 2021-08-18 Yongxin Chen

Vector or pest control is essential to reduce the risk of vector-borne diseases or crop losses. Among the available biological control tools, the Sterile Insect Technique (SIT) is one of the most promising. However, SIT-control campaigns…

Populations and Evolution · Quantitative Biology 2019-11-04 Pierre-Alexandre Bliman , Daiver Cardona-Salgado , Yves Dumont , Olga Vasilieva

Cascades represent rapid changes in networks. A cascading phenomenon of ecological and economic impact is the spread of invasive species in geographic landscapes. The most promising management strategy is often biocontrol, which entails…

Artificial Intelligence · Computer Science 2018-02-09 Johan Bjorck , Yiwei Bai , Xiaojian Wu , Yexiang Xue , Mark C. Whitmore , Carla Gomes

The population control problem is a parameterised problem where a controller sends messages to a whole population of identical finite-state agents, aiming to eventually move them all into a target state. The decision problem asks whether…

Optimization and Control · Mathematics 2026-02-11 Hugo Gimbert , Corto Mascle , Patrick Totzke

In this paper, we propose a computationally efficient, robust density control strategy for the mean-field model of a robotic swarm. We formulate a static optimal control problem (OCP) that computes a robot velocity field which drives the…

Optimization and Control · Mathematics 2022-12-06 Carlo Sinigaglia , Andrea Manzoni , Francesco Braghin , Spring Berman

This paper addresses a task allocation problem for a large-scale robotic swarm, namely swarm distribution guidance problem. Unlike most of the existing frameworks handling this problem, the proposed framework suggests utilising local…

Multiagent Systems · Computer Science 2018-11-30 Inmo Jang , Hyo-Sang Shin , Antonios Tsourdos

During the last decades, the global prevalence of dengue progressed dramatically. It is a disease which is now endemic in more than one hundred countries of Africa, America, Asia and the Western Pacific. This study addresses a mathematical…

In this paper, we study an optimal control problem of a communicable disease in a prison population. In order to control the spread of the disease inside a prison, we consider an active case-finding strategy, consisting on screening a…

Optimization and Control · Mathematics 2020-11-06 Pedro Gajardo , Victor Riquelme , Diego Vicencio

In this paper investigations by the same authors on environmental issues concerning the control of the pollution produced by human activities have been extended to include costs related to environmental interventions. The proposed model…

Numerical Analysis · Mathematics 2025-11-03 Sebastian Anita , Vincenzo Capasso , Simone Scacchi

In this paper, an SIR epidemic model with variable size of population is considered. We study optimal control problem for an SIR model with "vaccination" and "treatment" as controls. It is shown that an optimal control exists. We have…

Optimization and Control · Mathematics 2016-12-28 Olga Klimenkova

Spatial spread of infectious diseases among populations via the mobility of humans is highly stochastic and heterogeneous. Accurate forecast/mining of the spread process is often hard to be achieved by using statistical or mechanical…

Social and Information Networks · Computer Science 2016-11-18 Jian-Bo Wang , Lin Wang , Xiang Li

This work focuses on feedback control strategies for applying the sterile insect technique (SIT) to eliminate pest populations. The presentation is centered on the case of mosquito populations, but most of the results can be extended to…

Analysis of PDEs · Mathematics 2025-12-03 Kala Agbo Bidi , Luís Almeida , Jean-Michel Coron

The design of control systems for the spatial self-organization of mobile agents is an open challenge across several engineering domains, including swarm robotics and synthetic biology. Here, we propose a bio-inspired leader-follower…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Gian Carlo Maffettone , Alain Boldini , Mario di Bernardo , Maurizio Porfiri

Population-based methods can cope with a variety of different problems, including problems of remarkably higher complexity than those traditional methods can handle. The main procedure consists of successively updating a population of…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Mauro S. Innocente , Johann Sienz
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