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Aedes Aegypti is the vector of several deadly diseases, including Zika. Effective and sustainable vector control measures must be deployed to keep A. aegypti numbers under control. The distribution of A. Aegypti is subject to spatial and…

Populations and Evolution · Quantitative Biology 2016-08-05 Chathika Gunaratne , Mustafa Ilhan Akbas , Ivan Garibay , Ozlem Ozmen

This paper presents an age-structured, non-autonomous logistic model describing the aquatic and adult stages of the dynamics of malaria-vector mosquitoes. We propose a biological control strategy targeting the aquatic compartment and…

Analysis of PDEs · Mathematics 2025-11-18 Marius Bargo , Yacouba Simpore

In this paper, a stochastic dynamic control strategy is presented to prevent the spread of an infection over a homogeneous network. The infectious process is persistent, i.e., it continues to contaminate the network once it is established.…

Systems and Control · Electrical Eng. & Systems 2020-12-02 Jalal Arabneydi , Amir G. Aghdam

We investigate a model for a mosquito-borne epidemic in which human hosts may adopt protective behaviour against vector bites in response to information on both past and current disease prevalence. Assuming that mosquitoes can also feed on…

Populations and Evolution · Quantitative Biology 2026-05-08 Simone De Reggi , Andrea Pugliese , Mattia Sensi , Cinzia Soresina

The spotted lanternfly is rapidly establishing itself as a major insect pest with global implications. Despite significant management efforts, its spread continues in invaded regions, and refined management strategies are required. A recent…

Other Quantitative Biology · Quantitative Biology 2025-09-16 Daniel Strömbom , Julianna Hoitt , Jinrong Hu , Swati Pandey , Elizabeth Batchelar

We present an application of optimal control theory to Dengue epidemics. This epidemiologic disease is an important theme in tropical countries due to the growing number of infected individuals. The dynamic model is described by a set of…

Optimization and Control · Mathematics 2010-08-27 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

Recently, the RIDL-SIT technology has been field-tested for control of Aedes aegypti. The technique consists of releasing genetically modified mosquitoes carrying a "lethal gene". In 2016 the World Health Organisation (WHO) and the…

Populations and Evolution · Quantitative Biology 2020-06-02 Mario A. Natiello , Hernán G. Solari

In this paper, we address a social planner's optimal control problem for a partially observable stochastic epidemic model. The control measures include social distancing, testing, and vaccination. Using a diffusion approximation for the…

Optimization and Control · Mathematics 2025-03-11 Ibrahim Mbouandi Njiasse , Florent Ouabo Kamkumo , Ralf Wunderlich

The sterile insect technique has emerged recently as a biologically secure and effective tool for suppressing wild mosquito pests. To improve the performance of this strategy, understanding the interaction between wild and sterile…

Dynamical Systems · Mathematics 2025-09-09 Rodrigo Fernández-Martínez , Alfonso Ruiz-Herrera

This paper is to investigate the control problem of maximizing the net benefit of a single species while the cost of the resource allocation is minimized in a population model which can be described by a reaction diffusion advection…

Optimization and Control · Mathematics 2019-01-01 Lianzhang Bao , Huilai Li , Haojian Liang , Guangliang Zhao

In a study conducted in Singapore, a country prone to dengue outbreaks due to its climate and urban population, researchers examined the effectiveness of releasing male Aedes aegypti mosquitoes infected with Wolbachia (wAlbB strain) to…

We consider a setting in which one swarm of agents is to service or track a second swarm, and formulate an optimal control problem which trades off between the competing objectives of servicing and motion costs. We consider the continuum…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Max Emerick , Bassam Bamieh

In this chapter, we focus on the problem of containing the spread of diseases taking place in both temporal and adaptive networks (i.e., networks whose structure `adapts' to the state of the disease). We specifically focus on the problem of…

Social and Information Networks · Computer Science 2019-03-19 Masaki Ogura , Victor M. Preciado

In this work we propose a model that represents the relation between fish ponds, the mosquito population and the transmission of malaria. It has been observed that in the Amazonic region of Acre, in the North of Brazil, fish farming is…

Populations and Evolution · Quantitative Biology 2023-04-27 Felipe J. P. Antunes , M. Soledad Aronna , Cláudia T. Codeço

Controlling the stochastic dynamics of biological populations is a challenge that arises across various biological contexts. However, these dynamics are inherently nonlinear and involve a discrete state space, i.e., the number of molecules,…

Populations and Evolution · Quantitative Biology 2025-10-21 Shuhei A. Horiguchi , Tetsuya J. Kobayashi

We consider optimal swarm control problems where two different classes of agents are present. Continuum idealizations of large-scale swarms are used where the dynamics describe the evolution of the spatially-distributed densities of each…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Max Emerick , Stacy Patterson , Bassam Bamieh

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

It is preliminarily known that Aedes mosquitoes are very close to humans and their dwellings, also give rises to a broad spectrum of diseases: dengue, yellow fever, chikungunya. In this paper, we explore a multi-age-class model for mosquito…

Optimization and Control · Mathematics 2017-12-04 Karunia Putra Wijaya , Thomas Goetz , Edy Soewono

We present a SIR+ASI epidemic model to describe the interaction between human and dengue fever mosquito populations. A control strategy in the form of vaccination, to decrease the number of infected individuals, is used. An optimal control…

Optimization and Control · Mathematics 2011-09-19 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

This paper focuses on the optimal control of a class of stochastic Volterra integral equations. Here the coefficients are regular and not assumed to be of convolution type. We show that, under mild regularity assumptions, these equations…

Probability · Mathematics 2026-04-08 Dylan Possamaï , Mehdi Talbi