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This paper investigates an optimal control problem associated with a two-dimensional multi-species Cahn-Hilliard-Keller-Segel tumor growth model, which incorporates complex biological processes such as species diffusion, chemotaxis,…

Analysis of PDEs · Mathematics 2024-07-26 Pierluigi Colli , Gianni Gilardi , Andrea Signori , Jürgen Sprekels

OBJECTIVE: To propose a new approach to analyze the age-distribution of reported cases for vector-transmitted infections. METHODS: Using officially reported number of cases of dengue, Zika, chikungunya, malaria and leishmaniasis for…

Populations and Evolution · Quantitative Biology 2026-03-18 Francisco Antonio Bezerra Coutinho , Marcos Amaku , Esper Georges Kallas , Eduardo Massad

Dengue is a life threatening disease prevalent in several developed as well as developing countries like India.In this paper we discuss various algorithm approaches of data mining that have been utilized for dengue disease prediction. Data…

Computers and Society · Computer Science 2015-02-19 Kashish Ara Shakil , Shadma Anis , Mansaf Alam

This work introduces a novel epidemiological model that simultaneously considers multiple viral strains, reinfections due to waning immunity response over time and an optimal control formulation. This enables us to derive optimal mitigation…

Systems and Control · Electrical Eng. & Systems 2021-09-10 Edilson F. Arruda , Dayse H. Pastore , Clauda M. Dias , Shyam S. Das

In this paper, we consider an optimal distributed control problem for a reaction-diffusion-based SIR epidemic model with human behavioral effects. We develop a model wherein non-pharmaceutical intervention methods are implemented, but a…

Analysis of PDEs · Mathematics 2025-02-11 Marcelo Bongarti , Christian Parkinson , Weinan Wang

In the fight against vector-borne arboviruses, an important strategy of control of epidemic consists in controlling the population of vector, \textit{Aedes} mosquitoes in this case. Among possible actions, two techniques consist in…

Analysis of PDEs · Mathematics 2019-01-18 Luís Almeida , Michel Duprez , Yannick Privat , Nicolas Vauchelet

A deterministic mathematical model is formulated and analyzed to study the transmission dynamics of Nipah virus both qualitatively and numerically. Existence and stability of equilibria were investigated and the model was rigorously…

Dynamical Systems · Mathematics 2020-10-09 BI Omede , PO Ameh , A Omame , B Bolaji

In the present paper we deal with an optimal control problem related to a model in population dynamics; more precisely, the goal is to modify the behavior of a given density of individuals via another population of agents interacting with…

Optimization and Control · Mathematics 2016-09-26 Mattia Bongini , Giuseppe Buttazzo

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

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

This paper develops numerical methods for optimal control of mechanical systems in the Lagrangian setting. It extends the theory of discrete mechanics to enable the solutions of optimal control problems through the discretization of…

Optimization and Control · Mathematics 2015-06-04 Fernando Jimenez , Marin Kobilarov , David Martin de Diego

Climate has been an important factor in shaping the distribution and incidence of dengue cases in tropical and subtropical countries. In Costa Rica, a tropical country with distinctive micro-climates, dengue has been endemic since its…

Machine Learning · Statistics 2019-10-01 Paola Vásquez , Antonio Loría , Fabio Sanchez , Luis A. Barboza

We employ optimal control theory to study the problem of estimating the probability density function from a data set originating from an unknown probability distribution. The original variational problem is reformulated as a multi-stage…

Optimization and Control · Mathematics 2025-10-02 Markus Hegland , C. Yalçın Kaya

Pre-exposure prophylaxis (PrEP) consists in the use of an antiretroviral medication to prevent the acquisition of HIV infection by uninfected individuals and has recently demonstrated to be highly efficacious for HIV prevention. We propose…

Optimization and Control · Mathematics 2017-10-12 Cristiana J. Silva , Delfim F. M. Torres

We propose and study a compartmental model for epidemiology with human behavioral effects. Specifically, our model incorporates governmental prevention measures aimed at lowering the disease infection rate, but we split the population into…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Chloe Ngo , Christian Parkinson , Weinan Wang

Arboviruses represent a significant threat to human, animal, and plant health worldwide. To elucidate transmission, anticipate their spread and efficiently control them, mechanistic modelling has proven its usefulness. However, most models…

Populations and Evolution · Quantitative Biology 2024-08-06 Léa Loisel , Vincent Raquin , Maxime Ratinier , Pauline Ezanno , Gaël Beaunée

In this paper the optimal control of alignment models composed by a large number of agents is investigated in presence of a selective action of a controller, acting in order to enhance consensus. Two types of selective controls have been…

Optimization and Control · Mathematics 2016-10-06 Giacomo Albi , Lorenzo Pareschi

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

Optimization and Control · Mathematics 2016-05-04 Ashkan Jasour , Constantino Lagoa

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

Plant factories with artificial light are widely researched for food production in a controlled environment. For such control tasks, models of the energy and resource exchange in the production unit as well as those of the plant's growth…

Systems and Control · Electrical Eng. & Systems 2020-06-15 Murali Padmanabha , Lukas Beckenbach , Stefan Streif