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Tuesday, October 6, 2020 | History

2 edition of Optimal harvesting of continuous age structured populations found in the catalog.

Optimal harvesting of continuous age structured populations

Steven J. Smith

Optimal harvesting of continuous age structured populations

by Steven J. Smith

  • 84 Want to read
  • 39 Currently reading

Published .
Written in English

    Subjects:
  • Mathematical optimization.,
  • Harvesting -- Mathematical models.

  • Edition Notes

    Statementby Steven J. Smith.
    The Physical Object
    Pagination85 leaves, bound ;
    Number of Pages85
    ID Numbers
    Open LibraryOL15527868M

    Integrodifference equations are discrete in time and continuous in space, and are used to model the spread of populations that are growing in discrete generations, or at discrete times, and dispersing spatially. We investigate optimal harvesting strategies, in order to maximize the profit and minimize the cost of harvesting. Theoretical results on the existence, uniqueness and Cited by: 5. This paper investigates the theoretical aspects for an optimal harvesting problem of a nonlinear size-structured population model in a periodic environment. We establish the well-posedness of the state system by means of frozen coefficients and fixed point by: 6.

    In general, the optimal population for harvesting the maximum sustainable yield is at about 90% of the carrying capacity of the population false When completed, the Comprehensive Everglades Restoration Plan will redirect much of the water flow southward. @article{osti_, title = {Optimal Harvesting in an Age-Structured Predator-Prey Model}, author = {Fister, K. Renee and Lenhart, Suzanne}, abstractNote = {We investigate optimal harvesting control in a predator-prey model in which the prey population is represented by a first-order partial differential equation with age-structure and the predator population is .

    Key-Words: Stage structure, Density-dependent, Harvesting pulse, Birth pulse, Complexities. 1 Introduction The description of the age structure of the population in the life history is an interesting problem in population dynamics, since in the natural world; there are many species whose individual members exhibit enormous diversity. L.I. Ani¿a, S. Ani¿a, Note on some periodic optimal harvesting problems for age-structured population dynamics, Appl. Math. Comput., () 21 .


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Optimal harvesting of continuous age structured populations by Steven J. Smith Download PDF EPUB FB2

Optimal harvesting of continuous age structured populations Public Deposited. Analytics × Add The optimal harvesting ages are dependent on the birth and death rates, and the economic parameters of the problem. The goal of the second problem is to find the harvesting policy that maximizes the sustainable yield of a nonlinear by: 1.

We investigate two optimal harvesting problems related to age-dependent population dynamics; namely we consider two problems of maximizing the profit for age-structured population dynamics with respect to a size-dependent harvesting effort.

We evaluate the directional derivatives for the cost functionals. The structure of the harvesting effort is Author: Sebastian Aniţa, Ana-Maria Moşsneagu.

() Numerical Optimal Harvesting for a Periodic Age-Structured Population Dynamics with Logistic Term. Numerical Functional Analysis and Optimization() Discontinuous-Continuous Galerkin Methods for a Structured Model of a Biological by: Abstract.

We consider an optimal harvesting problem for a population with continuous age and time structure. On the basis of a version of Pontryagin’s principle, we investigate the form of an optimal solution in a special by: A generic age-structured model for optimal harvesting is formulated and analyzed.

The aim is to maximize utility from the harvest, net of effort cost. Yield depends on effort, catchability, and Author: Olli Tahvonen. In this paper we develop optimal harvesting policies for age-structured populations using a model for which the basic equations reduce to a pair of ordinary diffential equations for the total population and the per-capita by:   Given nonlinear harvesting costs, the optimal solution is a path toward a steady state with smooth annual harvest and population age structure.

Sensitivity analysis shows that the optimal solution is highly dependent on the population level of the sprat’s main predator Baltic by: The optimal harvesting problem for age-structured population (existence of the optimal control and necessary optimality conditions) has been intensively studied in the nonperiodic case (see [ The optimal harvesting problem with a continuous size-structured population model was studied in [6,7,8].

In those papers, harvesting was defined as a proportion of removed trees. The maximum principle for the problem was proved in [6,8]. Moreover, in, the strong bang-bang principle under some additional (but realistic) conditions was proved Cited by: 2.

OPTIMAL HARVESTING OF STRUCTURED POPULATIONS As before, if J,(v') is calculated for r=I__n, then the optimal value of r, say r*, is chosen to satisfy Jr.(vr*)>Jr(vr) for all rE(1,n). CONCLUSION In the Introduction (Sec. 1), the history and present "state of the art" in fisheries management models was briefly by: On Optimal Harvesting in Age-Structured Populations Anton O.

Belyakovyand Vladimir M. Veliov z Abstract The problem of optimal harvesting (in a sh population as a benchmark) is stated within a model that takes into account the age-structure of the popula-tion. In contrast to models disregarding the age structure, it is shown that in.

Abstract Here we investigate the optimal harvesting of an age-structured population. We use the McKendrick model of population dynamics, and optimize a discounted yield on an infinite time horizon.

The harvesting function is allowed to depend arbitrarily on age and time and its magnitude is by: The problem of optimal harvesting (in a fish population as a benchmark) is stated within a model that takes into account the age-structure of the population.

Request PDF | Optimal Harvesting of Size-Structured Biological Populations | The question of harvesting size-structured biological resources is generic. Request PDF | Optimal Harvesting for Size-Dependent Control | We investigate some optimal harvesting problems concerning the age-structured population dynamics.

The goal is to maximize the profit. structure of optimal age-structured harvesting, e.g., whether all or only some of year classes represent an optimal harvest policy.

Rather, it is shown that optimal harvesting essentially depends on the various biological (recruitment and survival) and economic (cost and price) parameters of the fishery under consideration.

On optimal harvesting of age-structured populations. Proceedings of the Research Conference on Differential Equations and Applications to Ecology, Epidemics, and Population Problems.

Claremont, California, January, Cited by: The question of harvesting size-structured biological resources is generic in resource economics but purely understood. This study is based on a well known density-dependent size-structured population model that includes an age-structured model as a special case.

Harvest from each size class can be chosen by: 5. The paper analyzes optimal harvesting of age-structured populations described by the Lotka–McKendrik model. It is shown that the optimal time- and age-dependent harvesting control involves only one age at natural conditions.

This result leads to a new optimization problem with the time-dependent harvesting age as an unknown by: Stability of the system is studied from the ratio of the population densities at different times.

As a particular case, not considering the harvesting of species, the classical age-structured population model of [J.N. Kapur, Stability analysis of continuous and discrete population models, Indian J.

Pure Appl. Math. 9 () –] is by: 5. Given nonlinear harvesting costs, the optimal solution is a path toward a steady state with smooth annual harvest and population age structure.

Sensitivity analysis shows that the optimal solution is highly dependent on the population level of .Optimal Harvest in an Age Structured Model In this paper several aspects of the optimal harvest of a stage structured model of a fishery are studied. The analysis is restricted to an equilibrium fishery problem such that natural growth of the various age classes is exactly balanced by fishing mortality.

Different agents.Optimal Harvesting of Structured Populations*t WAYNE M. GETZ periodic spawning event and a continuous harvesting rate. The model takes that have dissimilar population age distributions), where 3(t) ~[0,6,] for allCited by: