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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

In traditional harvesting model a fishing effort E is defined by the fishing intensity and does not address the inverse effect of fish abundance on the fishing effort. In this paper, based on a canonical differential equation model, we…

Dynamical Systems · Mathematics 2007-05-23 Lev Idels , Mei Wang

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

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

We analyze the long term behavior of interacting populations which can be controlled through harvesting. The dynamics is assumed to be discrete in time and stochastic due to the effect of environmental fluctuations. We present extinction…

Populations and Evolution · Quantitative Biology 2021-02-18 Alexandru Hening

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

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

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…

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

The paper explores the influence of harvesting (or culling) on the outcome of the competition of two species in a spatially heterogeneous environment. The harvesting effort is assumed to be proportional to the space-dependent intrinsic…

Dynamical Systems · Mathematics 2019-05-01 Elena Braverman , Ilia Ilmer

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

We analyze the optimal harvesting problem for an ecosystem of species that experience environmental stochasticity. Our work generalizes the current literature significantly by taking into account non-linear interactions between species,…

Probability · Mathematics 2019-08-28 Alexandru Hening , Ky Quan Tran , Tien Trong Phan , George Yin

We present novel analytical results about ecosystem species diversity that stem from a proposed coarse grained neutral model based on birth-death processes. The relevance of the problem lies in the urgency for understanding and synthesizing…

Populations and Evolution · Quantitative Biology 2015-06-05 Samir Suweis , Andrea Rinaldo , Amos Maritan

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

Conventional harvesting problems for natural resources often assume physiological homogeneity of the body length/weight among individuals. However, such assumptions generally are not valid in real-world problems, where heterogeneity plays…

Optimization and Control · Mathematics 2024-02-02 Hidekazu Yoshioka

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

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

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

In this study, we develop a metapopulation model framework to identify optimal harvesting strategies for a population in a stream network. We consider two distinct optimization objectives: maximization of total biomass and maximization of…

Dynamical Systems · Mathematics 2026-02-06 Tung D. Nguyen , Zhisheng Shuai , Tingting Tang , Amy Veprauskas , Yixiang Wu , Ying Zhou
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