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Related papers: Harvesting Fisheries Management Strategies With Mo…

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We study the combined effects of periodically varying carrying capacity and survival rates on the fish population in the ocean (sea). We introduce the Getz type delay differential equation model with a control parameter which describes how…

Dynamical Systems · Mathematics 2007-05-23 L. Berezansky , L. Idels

Fish harvesting often targets larger individuals, which can be sex-specific due to size dimorphism or differences in behaviors like migration and spawning. Sex-selective harvesting can have dire consequences in the long run, potentially…

Populations and Evolution · Quantitative Biology 2024-01-30 Joydeb Bhattacharyya , Arnab Chattopadhyay , Anurag Sau , Sabyasachi Bhattacharya

In fishery science, harvest management of size-structured stochastic populations is a long-standing and difficult problem. Rectilinear precautionary policies based on biomass and harvesting reference points have now become a standard…

Populations and Evolution · Quantitative Biology 2025-08-15 Felipe Montealegre-Mora , Carl Boettiger , Carl J. Walters , Christopher L. Cahill

In this study, considering the importance of how to exploit renewable natural resources, we analyze a fishing model with nonlinear harvesting function in which the players at the equilibrium point do a static game with complete information…

Dynamical Systems · Mathematics 2019-05-16 Elahe Sorouri , Madjid Eshaghi Gordji , Reza. Memarbashi

An enviromental-random effect over a deterministic population mo\-del, a resource ({\it e.g.}, a fish stock) is introduced. It is assumed that the harvest activity is concentrated at a non predetermined sequence of instants, at which the…

Probability · Mathematics 2014-07-01 Ricardo Castro-Santis , Fernado Cordova , Walter Chambio

An age-structured fish model with birth and harvesting pulses is established, where birth pulses are responsible for increasing the amount of fish due to the constant multiple placement of juveniles, and harvesting pulses describe the…

Populations and Evolution · Quantitative Biology 2024-11-06 Haiyan Xu , Zhigui Lin , Carlos Alberto Santos

Zhou and Smith (2017) investigate different multi-species harvesting scenarios using a simple Holling-Tanner model. Among these scenarios are two methods for implementing balanced harvesting, where fishing is distributed across trophic…

Populations and Evolution · Quantitative Biology 2019-10-23 Michael J Plank

An ecological system with multiple stable equilibria is prone to undergo catastrophic change or regime shift from one steady-state to another. It should be noted that, if one of the steady states is an extinction state, the catastrophic…

Populations and Evolution · Quantitative Biology 2021-08-18 Anurag Sau , Sabyasachi Bhattacharya , Bapi Saha

In this paper, the selective predator harvesting is considered in a predator prey system. The logistic growth of prey and ratio-dependent functional response is assumed. The dynamically varying effort is employed for selective harvesting of…

Dynamical Systems · Mathematics 2022-03-24 Uganta Yadav , Sunita Gakkhar

Recent collapses of many fisheries across the globe have challenged the mathematical approach to these systems through classic bioeconomic models. Decimated populations did not recover as fast as predicted by these models and depensatory…

Populations and Evolution · Quantitative Biology 2019-10-04 Sara Cuenda , Marta Llorente , José A. Capitán

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 analyse the effect of harvesting in a resource dependent age structured population model, deriving the conditions for the existence of a stable steady state as a function of fertility coefficients, harvesting mortality and carrying…

Populations and Evolution · Quantitative Biology 2007-05-23 Rui Dilao , Tiago Domingos , Elman M. Shahverdiev

Effective management of recreational fisheries requires accurate forecasting of future harvests and real-time monitoring of ongoing harvests. Traditional methods that rely on historical catch data to predict short-term harvests can be…

Quantitative Methods · Quantitative Biology 2025-04-03 A. Challen Hyman , Chloe Ramsay , Tiffanie A. Cross , Beverly Sauls , Thomas K. Frazer

This paper examines the objective of optimally harvesting a single species in a stochastic environment. This problem has previously been analyzed in Alvarez (2000) using dynamic programming techniques and, due to the natural payoff…

Optimization and Control · Mathematics 2016-08-02 Richard H. Stockbridge , Chao Zhu

Recreational fishing is a highly socio-ecological process. Although recreational fisheries are self-regulating and resilient, changing anthropogenic pressure drives these fisheries to overharvest and collapse. Here, we evaluate the effect…

Populations and Evolution · Quantitative Biology 2021-02-17 Sukanta Sarkar , Arzoo Narang , Sudipta Kumar Sinha , Partha Sharathi Dutta

In order to understand how the combination of domain evolution and impulsive harvesting affect the dynamics of a population, we propose a diffusive logistic population model with impulsive harvesting on a periodically evolving domain.…

Analysis of PDEs · Mathematics 2021-09-22 Yue Meng , Zhigui Lin , Michael Pedersen

Unraveling patterns of animals' movements is important for understanding the fundamental basics of biogeography, tracking range shifts resulting from climate change, predicting and preventing biological invansions. Many researchers have…

Populations and Evolution · Quantitative Biology 2020-04-20 Nikolay Markov , Evgeny Ivanko

For two resource-sharing species we explore the interplay of harvesting and dispersal strategies, as well as their influence on competition outcomes. Although the extinction of either species can be achieved by excessive culling, choosing a…

Populations and Evolution · Quantitative Biology 2025-12-12 Elena Braverman , Jenny Lawson

In this manuscript we investigate the long-term behavior of a single-species fishery, which is harvested by several fleets. The time evolution of this population is modeled by a discrete time stochastic age-structured model. We assume that…

Populations and Evolution · Quantitative Biology 2018-11-20 V. Riquelme , T. J. Quinn , H. Ramírez C

In this paper, we formulate and analyze an original infinite-horizon bioeconomic optimal control problem for a nonlinear, size-structured fish population. Departing from standard endogenous reproduction frameworks, we model population…

Optimization and Control · Mathematics 2026-03-31 Jiguang Yu , Louis Shuo Wang , Ye Liang
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