Optimal harvesting strategies for stochastic competitive Lotka-Volterra ecosystems
From MaRDI portal
Publication:1689379
DOI10.1016/j.automatica.2015.03.017zbMath1377.93182OpenAlexW2031701553MaRDI QIDQ1689379
Publication date: 12 January 2018
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2015.03.017
singular controlcontrolled regime-switching diffusionharvesting problemchattering strategyLotka-Volterra ecosystem
Optimal stochastic control (93E20) Pursuit and evasion games (49N75) Positional games (pursuit and evasion, etc.) (91A24)
Related Items
Analysis of a stochastic Lotka–Volterra competitive system with infinite delays and Ornstein–Uhlenbeck process ⋮ Numerical methods for optimal harvesting strategies in random environments under partial observations ⋮ The effects of random and seasonal environmental fluctuations on optimal harvesting and stocking ⋮ Synchronization control of stochastic delayed Lotka-Volterra systems with hardware simulation ⋮ Optimal harvesting strategy for a stochastic mutualism system in a polluted environment with regime switching ⋮ Stochastic Lotka-Volterra competitive reaction-diffusion systems perturbed by space-time white noise: modeling and analysis ⋮ Verification theory and approximate optimal harvesting strategy for a stochastic competitive ecosystem subject to Lévy noise ⋮ Optimal harvesting of a stochastic mutualism model with Lévy jumps ⋮ Sustainable harvesting policies under long-run average criteria: near optimality ⋮ Hybrid competitive Lotka–Volterra ecosystems: countable switching states and two-time-scale models ⋮ Coexistence, extinction, and optimal harvesting in discrete-time stochastic population models ⋮ Dynamical analysis and optimal harvesting strategy for a stochastic delayed predator-prey competitive system with Lévy jumps ⋮ Harvesting of interacting stochastic populations ⋮ Numerical solutions for optimal control of stochastic Kolmogorov systems
Cites Work
- Unnamed Item
- Stochastic competitive Lotka-Volterra ecosystems under partial observation: feedback controls for permanence and extinction
- On hybrid competitive Lotka-Volterra ecosystems
- Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
- Continuous-time stochastic control and optimization with financial applications
- Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
- On competitive Lotka-Volterra model in random environments
- Hybrid switching diffusions. Properties and applications
- Optimal harvesting of stochastically fluctuating populations
- Uniform acceleration expansions for Markov chains with time-varying rates
- Risk vs. profit potential:
- Optimal harvesting from a population in a stochastic crowded environment
- Singular stochastic control in the presence of a state-dependent yield structure
- On the option interpretation of rational harvesting planning
- Numerical solutions of optimal risk control and dividend optimization policies under a generalized singular control formulation
- On Optimal Harvesting Problems in Random Environments
- Stochastic Differential Equations with Markovian Switching
- Optimal harvesting from interacting populations in a stochastic environment