Asymptotic harvesting of populations in random environments

DOI10.1007/s00285-018-1275-1zbMath1410.92099arXiv1710.01221OpenAlexW2764317351WikidataQ90758184 ScholiaQ90758184MaRDI QIDQ1738027

Alexandru Hening, Dang H. Nguyen, Sergiu C. Ungureanu, Tak Kwong Wong

Publication date: 29 March 2019

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01221

zbMATH Keywords

ergodicityergodic controlstochastic logistic modelstochastic environmentstochastic harvesting

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Ecology (92D40)

Related Items (max. 100)

The effects of random and seasonal environmental fluctuations on optimal harvesting and stocking ⋮ Optimal Ergodic Harvesting under Ambiguity ⋮ Optimal harvesting of stochastic population models with periodic coefficients ⋮ On the optimal harvesting strategy for a generalized population model ⋮ Analytical and numerical solutions to ergodic control problems arising in environmental management ⋮ De Finetti's control problem with competition ⋮ On the exploitation of a population given by a system of linear equations with random parameters ⋮ The structure of optimal solutions for harvesting a renewable resource ⋮ Coexistence, extinction, and optimal harvesting in discrete-time stochastic population models ⋮ Optimal exploitation for hybrid systems of renewable resources under partial observation ⋮ Harvesting of interacting stochastic populations ⋮ Harvesting and seeding of stochastic populations: analysis and numerical approximation ⋮ Biological population management based on a Hamilton–Jacobi–Bellman equation with boundary blow up

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimum consumption and portfolio rules in a continuous-time model
• Persistence in fluctuating environments for interacting structured populations
• Persistence of structured populations in random environments
• Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
• Persistence in fluctuating environments
• Stochastic population growth in spatially heterogeneous environments: the density-dependent case
• Persistence in stochastic food web models
• The gamma distribution and weighted multimodal gamma distributions as models of population abundance
• The Chen-Rubin conjecture in a continuous setting
• Convexity of the median in the gamma distribution
• Persistence in food webs - I. Lotka-Volterra food chains
• Random environments and stochastic calculus
• An optimal harvesting policy for a logistic model in a randomly varying environment
• Optimal harvesting of stochastically fluctuating populations
• Optimal harvesting from a population in a stochastic crowded environment
• Singular stochastic control in the presence of a state-dependent yield structure
• Variable effort harvesting models in random environments: generalization to density-dependent noise intensities
• Stochastic Lotka-Volterra food chains
• Coexistence and extinction for stochastic Kolmogorov systems
• Stochastic population growth in spatially heterogeneous environments
• Persistence in stochastic Lotka-Volterra food chains with intraspecific competition
• Quasistationary distributions for one-dimensional diffusions with singular boundary points
• Protected polymorphisms and evolutionary stability of patch-selection strategies in stochastic environments
• Ergodic Control of Diffusion Processes
• An optimal hunting policy for a stochastic logistic model

This page was built for publication: Asymptotic harvesting of populations in random environments