Optimal impulsive harvesting policy for single population

Authors:
Xiaoying Zhang;Zhisheng Shuai;Ke Wang
Affiliations:
Department of Mathematics, Key Laboratory for Vegetation Ecology of Education Ministry P.R. China, Northeast Normal University, Changchun 130024, People's Republic of China;Department of Mathematics, Key Laboratory for Vegetation Ecology of Education Ministry P.R. China, Northeast Normal University, Changchun 130024, People's Republic of China;Department of Mathematics, Key Laboratory for Vegetation Ecology of Education Ministry P.R. China, Northeast Normal University, Changchun 130024, People's Republic of China
Venue:
Nonlinear Analysis: Real World Applications
Year:
2003

Citing 2
Cited 8

Optimization problems for one-impulsive models from population dynamics

Nonlinear Analysis: Theory, Methods & Applications - Series A: Theory and Methods
First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions

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Periodic boundary value problems for second-order impulsive integro-differential equations

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Periodic boundary value problem for first-order impulsive functional differential equations

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Qualitative analysis and applications of a kind of state-dependent impulsive differential equations

Journal of Computational and Applied Mathematics
Asymptotic behavior of linear impulsive integro-differential equations

Computers & Mathematics with Applications
Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces

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Periodic boundary value problems for first order functional differential equations with impulse

Journal of Computational and Applied Mathematics
Continuous and impulsive harvesting strategies in a stage-structured predator-prey model with time delay

Mathematics and Computers in Simulation
Exact solution to the periodic boundary value problem for a first-order linear fuzzy differential equation with impulses

Fuzzy Optimization and Decision Making

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Abstract

In this paper, we established the exploitation of impulsive harvesting single autonomous population model by Logistic equation. By some special methods, we analysis the impulsive harvesting population equation and obtain existence, the explicit expression and global attractiveness of impulsive periodic solutions for constant yield harvest and proportional harvest. Then, we choose the maximum sustainable yield as management objective, and investigate the optimal impulsive harvesting policies respectively. The optimal harvest effort that maximizes the sustainable yield per unit time, the corresponding optimal population levels are determined. At last, we point out that the continuous harvesting policy is superior to the impulsive harvesting policy, however, the latter is more beneficial in realistic operation.