Optimal harvesting with both population and price dynamics

Optimization of Harvesting Return from Age-Structured Population

“…Optimal exploitation of biological populations is one of the most common applied problems in bioeconomics (see Clark 1985, Anita 1998, Barbu & Iannelli 1999, Dyson et al 2000, Hanson & Ryan 1998, Hritonenko & Yatsenko 1999, Murphy & Smith 1990, and many others). These problems are analyzed using well-developed mathematical models of population dynamics.…”

“…Anita (1998) investigates an optimal harvesting problem for a nonlinear age-dependent population where the harvesting rate depends on time only. Hanson & Ryan (1998) employ stochastic dynamic programming to find the optimal harvesting and economic return in a randomized Schaefer model. Dyson et al (2000) discuss a nonlinear age-and-maturity-structured model that provides a new framework for future control problems relevant to cell populations.…”

An application of optimal control to the effective utilization of a renewable resource

“…There is therefore the justification to modify the objective functional to accommodate the technology used in harvesting. For other related works with modified objective functional, see Clark and Munro (1975);Craven (1995); Hanson and Ryan (1998).…”

H∞control of T–S fuzzy fish population logistic model with the invasion of alien species

“…In order to protect the ecological environment and guarantee the economic development simultaneously, many biological-economic models have proposed by some mathematical researchers, and some valuable results have been obtained. For example, the problems of optimal harvesting in the biological economic model are studied in [28][29][30][31], which provide the theoretical basis for the reasonable development of biological resources. The existence and stability of equilibrium and positive periodic orbit in the biological economy model are discussed respectively in [32,33].…”