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Main goal: The aim of this note is to propose a modeling approach for assessing the effectiveness of pest biocontrol by natural enemies in diversified agricultural landscapes including several pesticide-based management strategies. Our…

Populations and Evolution · Quantitative Biology 2016-02-23 Mamadou Ciss , Sylvain Poggi , Mohamed-Mahmoud Memmah , Pierre Franck , Marie Gosme , Nicolas Parisey , Lionel Roques

This paper develops near-optimal sustainable harvesting strategies for the predator in a predator-prey system. The objective function is of long-run average per unit time type. To date, ecological systems under environmental noise are…

Probability · Mathematics 2017-10-10 Dang H. Nguyen , George Yin

In this work the problem of optimal harvesting policy selection for natural resources management under model uncertainty is investigated. Under the framework of the neoclassical growth model dynamics, the associated optimal control problem…

Optimization and Control · Mathematics 2023-10-24 Georgios I. Papayiannis

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

Climate change and global warming are among the most significant issues that humanity is currently facing, and also among the issues that pose the greatest threats to all mankind. These issues are primarily driven by abnormal increases in…

Optimization and Control · Mathematics 2025-07-01 Hua Liu , Zhuoma Gangji , Yumei Wei , Jianhua Ye , Gang Ma

We study a dynamical model of a population of cooperators and defectors whose actions have long-term consequences on environmental "commons" - what we term the "resource". Cooperators contribute to restoring the resource whereas defectors…

Systems and Control · Computer Science 2025-05-06 Keith Paarporn , Ceyhun Eksin , Joshua S. Weitz , Yorai Wardi

When implementing an investment projects a problem of production facilities location with taking into account the environmental pollution arises. A mathematical model of the industrial enterprises location in the region is formalized and…

Optimization and Control · Mathematics 2018-12-24 O. A. Malafeyev , Y. E. Lakhina , N. D. Redinskikh

Taking environmental tax rate as given, is there an optimal allocation of tax revenues to benefit economic variables? This paper analyzes this issue in an overlapping-generations model with the pollution-related health damage. It finds the…

Economics · Quantitative Finance 2015-12-08 Su-Mei Chen , Ling-Yun He

Artificial ecosystems provide an additional experimental tool to support laboratory work, field work, and theoretical development in competitive exclusion research. A novel application of a spatiotemporal agent based model is presented…

Populations and Evolution · Quantitative Biology 2023-06-01 John C. Stevenson

This paper investigates the competition of two species in a heterogeneous environment subject to the effect of harvesting. The most realistic harvesting case is connected with the intrinsic growth rate, and the harvesting functions are…

We deal with an infinite horizon, infinite dimensional stochastic optimal control problem arising in the study of economic growth in time-space. Such problem has been the object of various papers in deterministic cases when the possible…

Optimization and Control · Mathematics 2022-03-14 Fausto Gozzi , Marta Leocata

We study a spatially explicit harvesting model in periodic or bounded environments. The model is governed by a parabolic equation with a spatially dependent nonlinearity of Kolmogorov--Petrovsky--Piskunov type, and a negative external…

Analysis of PDEs · Mathematics 2010-06-15 Lionel Roques , Mickaël D. Chekroun

Two major problems in modern cities are air contamination and road congestion. They are closely related and present a similar origin: traffic flow. To face these problems, local governments impose traffic restrictions to prevent the entry…

Optimization and Control · Mathematics 2021-05-10 N. García-Chan , L. J. Alvarez-Vázquez , A. Martínez , M. E. Vázquez-Méndez

We present two models of perpetrators' decision-making in extracting resources from a protected area. It is assumed that the authorities conduct surveillance to counter the extraction activities, and that perpetrators choose their…

Optimization and Control · Mathematics 2020-03-04 Elliot Cartee , Alexander Vladimirsky

Accurate and interpretable air pollution forecasting is crucial for public health, but most models face a trade-off between performance and interpretability. This study proposes a physics-guided, interpretable-by-design spatiotemporal…

Machine Learning · Computer Science 2026-01-23 Zhiguo Zhang , Xiaoliang Ma , Daniel Schlesinger

We develop new methodology to improve our understanding of the causal effects of multivariate air pollution exposures on public health. Typically, exposure to air pollution for an individual is measured at their home geographic region,…

Methodology · Statistics 2025-11-18 Heejun Shin , Danielle Braun , Kezia Irene , Michelle Audirac , Joseph Antonelli

Ecologists are interested in modeling the population growth of species in various ecosystems. Studying population dynamics can assist environmental managers in making better decisions for the environment. Traditionally, the sampling of…

Methodology · Statistics 2021-02-04 Rebecca E. Atanga , Edward L. Boone , Ryad A. Ghanam , Ben Stewart-Koster

We consider an infinite time horizon spatially distributed optimal harvesting problem for a vegetation and soil water reaction diffusion system, with rainfall as the main external parameter. By Pontryagin's maximum principle we derive the…

Optimization and Control · Mathematics 2016-01-12 Hannes Uecker

Stochastic agent-based models can account for millions of cells with spatiotemporal movement that can be a function of different factors. However, these simulations can be computationally expensive. In this work, we develop a novel…

Numerical Analysis · Mathematics 2019-09-11 Michael A. Yereniuk , Sarah D. Olson

Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one interacting with the first. Diffusive terms accounting for…

Optimization and Control · Mathematics 2023-03-10 Stefano Almi , Marco Morandotti , Francesco Solombrino