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We first present a predator-prey model for two species and then extend the model to three species where the two predator species engage in mutualistic predation. Constant effort harvesting and the impact of by-catch issue are also…

Dynamical Systems · Mathematics 2020-09-03 Mohammad M. Amirian , I. N. Towers , Z. Jovanoski , Andrew J. Irwin

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 propose and analyze a nonlinear age-structured multi-species model that serves as a unifying framework for ecological and biotechnological systems in complex environments (microbial communities, bioreactors, and others). The formulation…

Analysis of PDEs · Mathematics 2025-09-23 Marius Bargo , Yacouba Simpore

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

We study the optimal sustainable harvesting of a population that lives in a random environment. The novelty of our setting is that we maximize the asymptotic harvesting yield, both in an expected value and almost sure sense, for a large…

Probability · Mathematics 2019-04-02 Luis H. R. Alvarez E. , Alexandru Hening

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

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

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

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

The population size ("abundance") of wildlife species has central interest in ecological research and management. Distance sampling is a dominant approach to the estimation of wildlife abundance for many vertebrate animal species. One…

Methodology · Statistics 2025-04-18 Benjamin R. Baer , Len Thomas , Stephen T. Buckland

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 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

We will introduce the biological motivation of the $\gamma$- food-limited model with variable parameters. New criteria are established for the existence and global stability of positive periodic solutions. To prove the existence of…

Dynamical Systems · Mathematics 2010-06-29 L. V. Idels , A. Khokhlov

Reproductive phenology, growth and mortality rates are key ecological parameters that determine population dynamics and are therefore of vital importance to stock assessment models for fisheries management. In many fish species, the…

Other Quantitative Biology · Quantitative Biology 2020-06-23 Vicenç Moltó , Andres Ospina-Alvarez , Mark Gatt , Miquel Palmer , Ignacio A. Catalán

Poaching poses significant threats to wildlife and biodiversity. A valuable step in reducing poaching is to forecast poacher behavior, which can inform patrol planning and other conservation interventions. Existing poaching prediction…

Machine Learning · Computer Science 2025-08-29 Lingkai Kong , Haichuan Wang , Charles A. Emogor , Vincent Börsch-Supan , Lily Xu , Milind Tambe

Of paramount importance in both ecological systems and economic policies are the problems of harvesting of natural resources. A paradigmatic situation where this question is raised is that of fishing strategies. Indeed, overfishing is a…

Optimization and Control · Mathematics 2022-03-23 Idriss Mazari , Domènec Ruiz-Balet

This is the second of two papers dedicated to the relationship between population models of competition and biodiversity. Here we consider species assembly models where the population dynamics is kept far from fixed points through the…

Populations and Evolution · Quantitative Biology 2007-05-23 Ugo Bastolla , Michael Lässig , Susanna C. Manrubia , Angelo Valleriani

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

Predicting species persistence within ecological communities is a fundamental challenge for both empirical and theoretical ecology. Existing methods span from mechanistic models, whose parameters are difficult to estimate from data, to…

Populations and Evolution · Quantitative Biology 2026-04-30 Davide Bernardi , Giorgio Nicoletti , Prajwal Padmanabha , Samir Suweis , Sandro Azaele , Simon A. Levin , Andrea Rinaldo , Amos Maritan

In order to avoid disadvantages of monocropping for soil and environment, it is advisable to practice intercropping of various plant species whenever possible. However, intercropping is challenging as it requires a balanced planting…

Computers and Society · Computer Science 2021-12-21 Maurice Günder , Nico Piatkowski , Laura von Rueden , Rafet Sifa , Christian Bauckhage