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Several stains of the intracellular parasitic bacterium Wolbachia limit severely the competence of the mosquitoes Aedes aegypti as a vector of dengue fever and possibly other arboviroses. For this reason, the release of mosquitoes infected…

Analysis of PDEs · Mathematics 2017-05-22 Pierre-Alexandre Bliman , Nicolas Vauchelet

This work proposes a new procedure for the stabilization of time-delay systems using Static Output Feedback (SOF) control. A previous convex optimization approach to SOF for Ordinary Differential Equations (ODEs) is extended to time-delay…

Optimization and Control · Mathematics 2026-05-19 Danilo Braghini , Eduardo S. Tognetti , Matthew M. Peet

The constrained multi-agent optimization problem of distributed resource allocation is addressed using the evolutionary game theoretic framework. The issue of building temperature control is analyzed in which the controller is to devise a…

Optimization and Control · Mathematics 2019-08-15 M. Sawant , J. Moyalan , J. Koonamparampath , A. Sheikh , S. Wagh , N. Singh

In this article, we introduce an infinite-dimensional deterministic SIS model which takes into account the heterogeneity of the infections and the social network among a large population. We study the long-time behavior of the dynamic. We…

Dynamical Systems · Mathematics 2020-06-16 Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

We develop a switched nonlinear predictor-feedback control law to achieve global asymptotic stabilization for nonlinear systems with arbitrarily long input delay, under state quantization. The proposed design generalizes the nonlinear…

Optimization and Control · Mathematics 2025-01-27 Florent Koudohode , Nikolaos Bekiaris-Liberis

We present a discrete-time model of a spatially structured population and explore the effects of coupling when the local dynamics contain a strong Allee effect and overcompensation. While an isolated population can exhibit only bistability…

Dynamical Systems · Mathematics 2020-04-24 Irina Vortkamp , Sebastian J. Schreiber , Alan Hastings , Frank M. Hilker

This paper discusses the boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The proposed control design strategy is based on a…

Optimization and Control · Mathematics 2020-03-17 Hugo Lhachemi , Robert Shorten

Discrete-time models are the traditional approach for capturing population dynamics of a host-parasitoid system. Recent work has introduced a semi-discrete framework for obtaining model update functions that connect host-parasitoid…

Populations and Evolution · Quantitative Biology 2015-03-09 Brooks Emerick , Abhyudai Singh

In this paper, we present a discrete-time networked SEIR model using population flow, its derivation, and assumptions under which this model is well defined. We identify properties of the system's equilibria, namely the healthy states. We…

Systems and Control · Electrical Eng. & Systems 2021-04-16 Brooks Butler , Ciyuan Zhang , Ian Walter , Nishant Nair , Raphael Stern , Philip E. Paré

We propose a mathematical spatiotemporal epidemic SICA model with a control strategy. The spatial behavior is modeled by adding a diffusion term with the Laplace operator, which is justified and interpreted both mathematically and…

Optimization and Control · Mathematics 2022-07-12 Houssine Zine , Abderrahim El Adraoui , Delfim F. M. Torres

We develop a switched predictor-feedback law, which achieves global asymptotic stabilization of linear systems with input delay and with the plant and actuator states available only in (almost) quantized form. The control design relies on a…

Optimization and Control · Mathematics 2024-09-06 Florent Koudohode , Nikolaos Bekiaris-Liberis

Despite great interest in techniques for stabilizing the dynamics of biological populations and metapopulations, very few practicable methods have been developed. We propose an easily implementable method, Adaptive Limiter Control (ALC),…

Populations and Evolution · Quantitative Biology 2012-12-27 Pratha Sah , Joseph Paul Salve , Sutirth Dey

We develop a feedback control method for networked epidemic spreading processes. In contrast to most prior works which consider mean field, open-loop control schemes, the present work develops a novel framework for feedback control of…

Optimization and Control · Mathematics 2017-03-23 Nicholas J. Watkins , Cameron Nowzari , George J. Pappas

The importance of the Allee effect in studying extinction vulnerability is widely recognized by researchers, and neglecting it could adversely impact the management of threatened or exploited populations [1]. In this article, we examine a…

Dynamical Systems · Mathematics 2024-03-21 Rajesh Ranjan Patra , Sarit Maitra

Spatially explicit models have been widely used in today's mathematical ecology and epidemiology to study persistence and extinction of populations as well as their spatial patterns. Here we extend the earlier work--static dispersal between…

Populations and Evolution · Quantitative Biology 2009-07-01 Quan-Xing Liu , Rong-Hua Wang , Zhen Jin

The paper deals with a multiple species Lotka-Volterra model with infinite distributed delays and feedback controls, for which we assume a weak form of diagonal dominance of the instantaneous negative intra-specific terms over the infinite…

Classical Analysis and ODEs · Mathematics 2013-07-29 Teresa Faria , Yoshiaki Muroya

In order to prevent the propagation of human diseases transmitted by mosquitoes (such as dengue or zika), one possible solution is to act directly on the mosquito population. In this work, we consider an invasive species (the mosquitoes)…

Analysis of PDEs · Mathematics 2021-06-22 Luis Almeida , Alexis Leculier , Nicolas Vauchelet

In this article, we are interested in the analysis and simulation of solutions to an optimal control problem motivated by population dynamics issues. In order to control the spread of mosquito-borne arboviruses, the population replacement…

Analysis of PDEs · Mathematics 2021-06-25 Michel Duprez , Romane Hélie , Yannick Privat , Nicolas Vauchelet

We study feedback stabilization of continuous-time linear systems under finite data-rate constraints in the presence of unknown disturbances. A communication and control strategy based on sampled and quantized state measurements is…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Mahmoud Zamani , Guosong Yang

For the sake of saving time and costs the feedback control based on discrete-time observations is used to stabilize the switching diffusion systems. Response lags are required by most of physical systems and play a key role in the feedback…

Optimization and Control · Mathematics 2020-08-20 Xiaoyue Li , Xuerong Mao , Denis S. Mukama , Chenggui Yuan