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The spread of invasive species to new areas threatens the stability of ecosystems and causes major economic losses in agriculture and forestry. We propose a novel approach to minimizing the spread of an invasive species given a limited…

Populations and Evolution · Quantitative Biology 2017-12-13 Amrita Gupta , Mehrdad Farajtabar , Bistra Dilkina , Hongyuan Zha

Complex socio-environmental interdependencies drive biological invasions, causing damages across large spatial scales. For widespread invasions, targeting of management activities based on optimization approaches may fail due to…

Quantitative Methods · Quantitative Biology 2022-06-07 Jaime Ashander , Kailin Kroetz , Rebecca S Epanchin-Niell , Nicholas B. D. Phelps , Robert G Haight , Laura E. Dee

For any spatially explicit management, determining the appropriate spatial scale of management decisions is critical to success at achieving a given management goal. Specifically, managers must decide how much to subdivide a given managed…

Populations and Evolution · Quantitative Biology 2015-12-08 Nao Takashina , Marissa L. Baskett

Consider a species whose population density solves the steady diffusive logistic equation in a heterogeneous environment modeled with the help of a spatially non constant coefficient standing for a resources distribution in a given box. We…

Analysis of PDEs · Mathematics 2018-07-25 Idriss Mazari , Grégoire Nadin , Yannick Privat

Understanding how to limit biological invasion is critical, especially in the context of accelerating anthropogenic ecological changes. Although biological invasion success could be explained by the lack of natural enemies in new regions,…

Populations and Evolution · Quantitative Biology 2020-10-29 Zhiyuan Fu , Yuanming Lu , Donald DeAngelis , Bo Zhang

Spatiotemporal dynamics of populations may be described by the reaction-diffusion Fisher-Kolmogorov model. In this work we have proposed a new formulation for a control problem of aquatic plants in a temporal dynamics. The solution of this…

Optimization and Control · Mathematics 2020-06-22 Alexandre Molter , Fabio Silva Botelho

We introduce a new optimization framework to maximize the expected spread of cascades in networks. Our model allows a rich set of actions that directly manipulate cascade dynamics by adding nodes or edges to the network. Our motivating…

Traditional approaches to the design of multi-agent navigation algorithms consider the environment as a fixed constraint, despite the obvious influence of spatial constraints on agents' performance. Yet hand-designing improved environment…

Robotics · Computer Science 2022-09-26 Zhan Gao , Amanda Prorok

How do seasonal successions influence the propagation dynamics of an age-structured invasive species? We investigate this problem by considering the scenario that the offsprings are reproduced in spring and then reach maturation in fall…

Analysis of PDEs · Mathematics 2017-12-19 Yingli Pan , Jian Fang , Junjie Wei

In this paper, we analyze the dynamics of a multi-species fisheries system in the presence of harvesting. We solve the problem of finding the optimal harvesting strategy for a mid-term horizon with a fixed final stock of each species, while…

Optimization and Control · Mathematics 2025-01-17 L. Bayon , P. Fortuny Ayuso , P. J. Garcia-Nieto , J. A. Otero , P. M. Suarez , C. Tasis

We consider a family of controlled reaction-diffusion equations, describing the spatial spreading of an invasive biological species. For a given propagation speed $c\in{I\!\!R}$, we seek a control with minimum cost, which achieves a…

Optimization and Control · Mathematics 2023-02-21 Alberto Bressan , Minyan Zhang

Ecological connectivity in coastal oceanic waters is mediated by dispersion of the early life stages of marine organisms and conditions the structure of biological communities and the provision of ecosystem services. Integrated management…

Populations and Evolution · Quantitative Biology 2020-06-25 Andres Ospina-Alvarez , Silvia de Juan , Katrina J Davis , Catherine González , Sergio A Navarrete , Miriam Fernández

Aquatic invasive species (AIS) cause significant ecological and economic damages around the world. A major spread mechanism for AIS is traffic of boaters transporting their watercraft from invaded to uninvaded waterbodies. To inhibit the…

Quantitative Methods · Quantitative Biology 2021-05-10 Samuel M. Fischer , Martina Beck , Leif-Matthias Herborg , Mark A. Lewis

Marine invasive species spread through global shipping and generate substantial ecological and economic impacts. Traditional risk assessments require detailed records of ballast water and traffic patterns, which are often incomplete,…

Computational Engineering, Finance, and Science · Computer Science 2025-11-07 Gabriel Spadon , Vaishnav Vaidheeswaran , Claudio DiBacco

Framing control policies to mitigate the impact of invasive plants on indigenous biodiversity within the Sustainable Development Goals (SDG) framework is the primary objective of this work. Using reported ecological dynamics of the invasive…

Populations and Evolution · Quantitative Biology 2025-02-18 Shyam Kumar , Preet Mishra , R K Brojen Singh

Legged robots offer several advantages when navigating unstructured environments, but they often fall short of the efficiency achieved by wheeled robots. One promising strategy to improve their energy economy is to leverage their natural…

Starting from an age-structured diffusive population growth law for single species in a discrete and periodic habitat, we formulate a stage structured population model with spatially periodic dispersal, mortality and recruitment. With a KPP…

Analysis of PDEs · Mathematics 2020-03-18 Thazin Aye , Jian Fang , Yingli Pan

In this article, we consider a species whose population density solves the steady diffusive logistic equation in a heterogeneous environment modeled with the help of a spatially non constant coefficient standing for a resources…

Analysis of PDEs · Mathematics 2019-07-30 Idriss Mazari , Grégoire Nadin , Yannick Privat

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

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
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