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Related papers: Harvesting Fisheries Management Strategies With Mo…

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We present a model of single species fishery which alternates closed seasons with pulse captures. The novelty is that the length of a closed season is determined by the stock size of the last capture. The process is described by a new type…

Other Quantitative Biology · Quantitative Biology 2011-10-31 Fernando Córdova-Lepe , Rodrigo del Valle , Gonzalo Robledo

This paper investigates the optimal harvesting strategy for a single species living in random environments whose growth is given by a regime-switching diffusion. Harvesting acts as a (stochastic) control on the size of the population. The…

Optimization and Control · Mathematics 2016-08-02 Qingshuo Song , Richard Stockbridge , Chao Zhu

This paper investigates the dynamics and optimal harvesting of age-structured populations governed by McKendrick--von Foerster equations, contrasting two distinct harvesting mechanisms: rate-control and effort-control. For the rate-control…

Optimization and Control · Mathematics 2026-04-03 Jiguang Yu , Louis Shuo Wang , Ye Liang

Despite major advances in quantitative approaches to natural resource management, there has been resistance to using these tools in the actual practice of managing ecological populations. Given a managed system and a set of assumptions,…

Populations and Evolution · Quantitative Biology 2017-09-05 Matthew Holden , Stephen Ellner

As most natural resources, fisheries are affected by random disturbances. The evolution of such resources may be modelled by a succession of deterministic process and random perturbations on biomass and/or growth rate at random times. We…

Optimization and Control · Mathematics 2019-09-15 Patrice Loisel

Biological diversity is known to play an important role in generating and maintaining ecosystem productivity and other functions, and has consequently become a central focus of many efforts to preserve ecosystem services. Theoretical…

Populations and Evolution · Quantitative Biology 2014-09-15 Matthew G. Burgess

The fishing capacity and capacity utilization for Chinese inshore fleets over the latest 13 years were measured using the DEA method. Relevant models were then established to analyze the relationships between capacity output, capacity…

General Economics · Economics 2024-08-13 Yi Zheng

Understanding overfishing phenomenon and regulating fishing quotas is a major global challenge for the 21st Century both in terms of providing food for humankind and to preserve the oceans ecosystems. However, fishing is a complex economic…

Populations and Evolution · Quantitative Biology 2016-10-27 Ilaria Perissi , Ugo Bardi , Toufic El Asmar , Alessandro Lavacchi

The degree to which population fluctuations arise from variable adult survival relative to variable recruitment has been debated widely for marine organisms. Disentangling these effects remains challenging because data generally are not…

Populations and Evolution · Quantitative Biology 2016-01-26 Daniel K. Okamoto , Russell J. Schmitt , Sally J. Holbrook

The goal of this paper is to investigate an instance of the tragedy of the commons in spatially distributed harvesting games. The model we choose is that of a fishes' population that is governed by a parabolic bistable equation and that…

Analysis of PDEs · Mathematics 2023-03-06 Ziad Kobeissi , Idriss Mazari-Fouquer , Domenec Ruiz-Balet

Fisheries are vulnerable to environmental shocks that impact stock health and fisher income. Index insurance is a promising financial tool to protect fishers from environmental risk. However, insurance may change fisher's behavior. It is…

General Economics · Economics 2026-01-16 Nathaniel Grimes , Christopher Costello , Andrew J. Plantinga

It is well known that excessive harvesting or hunting has driven species to extinction both on local and global scales. This leads to one of the fundamental problems of conservation ecology: how should we harvest a population so that…

Probability · Mathematics 2021-02-18 Alexandru Hening , Ky Tran

We analyze a bioeconomic model for optimal fishery harvesting in a spatially heterogeneous habitat comprising both harvestable and preservation (reserve) zones. The population dynamics are governed by a hybrid system coupling continuous…

Dynamical Systems · Mathematics 2026-01-29 Dinesh Kumar

Management performance of five alternative stock assessment methods was evaluated by using them to set harvest levels targeting multi-species maximum yield in a multi-species flatfish fishery, including single-species and hierarchical…

Populations and Evolution · Quantitative Biology 2020-06-26 Samuel D. N. Johnson , Sean P. Cox

In this paper investigations by the same authors on environmental issues concerning the control of the pollution produced by human activities have been extended to include costs related to environmental interventions. The proposed model…

Numerical Analysis · Mathematics 2025-11-03 Sebastian Anita , Vincenzo Capasso , Simone Scacchi

In marine management, fish stocks are often managed on a stock-by-stock basis using single-species models. Many of these models are based upon statistical techniques and are good at assessing the current state and making short-term…

We focus on an optimal control problem, introduced by Bressan and Shen as a model for fish harvesting. We consider the time-dependent case and we establish existence and uniqueness of an optimal strategy, and sufficient conditions for…

Analysis of PDEs · Mathematics 2016-02-19 G. M. Coclite , M. Garavello , L. V. Spinolo

The aim of the paper is to extend the model of "fishing problem". The simple formulation is following. The angler goes to fishing. He buys fishing ticket for a fixed time. There are two places for fishing at the lake. The fishes are caught…

Probability · Mathematics 2008-12-19 Anna Karpowicz , Krzysztof Szajowski

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

This work focuses on optimal harvesting-renewing for a stochastic population. A mixed regular-singular control formulation with a state constraint and regime-switching is introduced. The decision-makers either harvest or renew with finite…

Optimization and Control · Mathematics 2022-11-07 K. Q. Tran , L. T. N. Bich , George Yin