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Dengue is an infectious disease which poses significant socioeconomic and disease burden in many tropical and subtropical regions of the world. This work aims to provide additional insight into the association between dengue and climate in…

Applications · Statistics 2025-06-30 Stephen Jun Villejo , Sara Martino , Janine Illian

Vector/Pest control is essential to reduce the risk of vector-borne diseases or losses in crop fields. Among biological control tools, the sterile insect technique (SIT), is the most promising one. SIT control generally consists of massive…

Dynamical Systems · Mathematics 2020-12-30 R. Anguelov , Y. Dumont , V. Yatat

There is growing interest in a hybrid control design in which a randomized controlled trial is augmented with an external control arm from a previous trial or real world data. Existing methods for analyzing hybrid control studies include…

Methodology · Statistics 2025-01-30 Zhiwei Zhang , Jialuo Liu , Wei Liu

We present a control model for an octopus tentacle, based on the dynamics of an inextensible string with curvature constraints and curvature controls. We derive the equations of motion together with an appropriate set of boundary…

Optimization and Control · Mathematics 2018-11-21 Simone Cacace , Anna Chiara Lai , Paola Loreti

Community involvement and the preventive behavior of households are considered to be at the heart of vector-control strategies. In this work, we consider a simple theoretical model that enables us to take into account human behaviors that…

Dynamical Systems · Mathematics 2016-11-17 Y. Dumont , J. Thuilliez

This paper presents an innovative distributed bio-inspired posture control strategy for a humanoid, employing a balance control system DEC (Disturbance Estimation and Compensation). Its inherently modular structure could potentially lead to…

Systems and Control · Computer Science 2020-04-01 Vittorio Lippi , Fabio Molinari , Thomas Seel

Dengue is a vector-borne disease transmitted by the mosquito Aedes aegypti. It has been observed that its incidence is strongly influenced by temperature and other abiotic factors like rainfall and humidity. In this work we compare the…

Populations and Evolution · Quantitative Biology 2016-05-23 Emilene Pliego Pliego , Jorge Velazquez-Castro , Andres Fraguela-Collar

Dengue represents a serious public health problem in tropical and subtropical regions worldwide. The number of dengue cases and its geographical expansion has increased in recent decades, driven mostly after by social and environmental…

Populations and Evolution · Quantitative Biology 2021-07-14 Yury E. García , Luis A. Barboza , Fabio Sanchez , Paola Vásquez , Juan G. Calvo

Optimal control of large particle systems with collective dynamics by few agents is a subject of high practical importance (e.g. in evacuation dynamics), but still limited mathematical basis. In particular the transition from discrete…

Optimization and Control · Mathematics 2016-10-06 Martin Burger , René Pinnau , Andreas Roth , Claudia Totzeck , Oliver Tse

We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

We introduce a general system of ordinary differential equations that includes some classical and recent models for the epidemic spread in a closed population without vital dynamic in a finite time horizon. The model is vectorial, in the…

Optimization and Control · Mathematics 2023-06-21 Lorenzo Freddi

Optimal control problems reflecting the finding of effective quarantine strategies are considered for two control SEIR~type models describing the spread of the COVID-19 virus in the human population. The properties of the corresponding…

Optimization and Control · Mathematics 2020-11-30 Ellina Grigorieva , Evgenii Khailov , Andrei Korobeinikov

In this paper we propose and study a spatial diffusion model for the control of anthracnose disease in a bounded domain. The model is a generalization of the one previously developed in [14]. We use the model to simulate two different types…

Optimization and Control · Mathematics 2016-08-08 David Jaurès Fotsa Mbogne , Christopher Thron

A heroin epidemic mathematical model with prevention information and treatment, as control interventions, is analyzed, assuming that an individual's behavioral response depends on the spreading of information about the effects of heroin.…

Optimization and Control · Mathematics 2022-10-24 Puthur Thangaraj Sowndarrajan , Lingeshwaran Shangerganesh , Amar Debbouche , Delfim F. M. Torres

For decades, dengue virus has been a cause of major public health concern in Costa Rica, due to its landscape and climatic conditions that favor the circumstances in which the vector, Aedes aegypti, thrives. The emergence and introduction…

Populations and Evolution · Quantitative Biology 2017-01-18 Fabio Sanchez , Luis A. Barboza , David Burton , Ariel Cintron-Arias

This paper deals with some control problems related to structured population dynamics with diffusion. Firstly, we investigate the regional control for an optimal harvesting problem (the control acts in a subregion $\omega$ of the whole…

Optimization and Control · Mathematics 2017-05-09 Laura-Iulia Aniţa , Sebastian Aniţa , Vincenzo Capasso , Ana-Maria Moşneagu

This work will study an optimal control problem describing the two-strain SEIR epidemic model. The studied model is in the form of six nonlinear differential equations illustrating the dynamics of the susceptibles and the exposed, the…

Populations and Evolution · Quantitative Biology 2024-04-29 Karam Allali , Mouhamadou A. M. T. Balde , Babacar M. Ndiaye

We propose a compartmental model for vector-transmitted diseases, such as Malaria and Dengue, spreading over complex networks. Individuals are represented by independent random walkers and vectors by infected nodes. Both walkers and nodes…

Populations and Evolution · Quantitative Biology 2025-05-05 Téo Granger , Thomas M. Michelitsch , Bernard A. Collet , Michael Bestehorn , Alejandro P. Riascos

This paper addresses a nonlinear partial differential control system arising in population dynamics. The system consist of three diffusion equations describing the evolutions of three biological species: prey, predator, and food for the…

Analysis of PDEs · Mathematics 2021-04-20 Sergey A. Timoshin , Chen Bin

We introduce a new and efficient numerical method for multicriterion optimal control and single criterion optimal control under integral constraints. The approach is based on extending the state space to include information on a "budget"…

Optimization and Control · Mathematics 2016-01-06 Ajeet Kumar , Alexander Vladimirsky
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