Optimal control of a birth-and-death process population model

DOI10.1016/0025-5564(75)90122-4zbMath0303.60082OpenAlexW1970043744WikidataQ56796986 ScholiaQ56796986MaRDI QIDQ1216110

Wayne M. Getz

Publication date: 1975

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(75)90122-4

Mathematics Subject Classification ID

Applications of branching processes (60J85) Population dynamics (general) (92D25) Optimal stochastic control (93E20) Markov processes (60J99)

Related Items (12)

Higher-order and non-stationary properties of lampard's stochastic reversible counter system ⋮ Growth of cell populations with arbitrarily distributed cycle durations. I. Basic model ⋮ Unnamed Item ⋮ On a class of discrete distributions arising from the birth-death-with-immigration process ⋮ Scaling limit for stochastic control problems in population dynamics ⋮ Optimal birth control of population dynamics ⋮ Optimal time-profiles of public health intervention to shape voluntary vaccination for childhood diseases ⋮ A note on a transient queuing system of a linear birth–immigration process in presence of twin births ⋮ Stochastic equivalents of the linear and Lotka-Volterra systems of equations - a general birth-and-death process formulation ⋮ Optimal control of age-dependent populations ⋮ Mathematical models for the control of pests and infectious diseases: A survey ⋮ On harvesting two competing populations

Cites Work

• A stochastic bivariate ecology model for competing species
• On linear birth-death processes with multiple births
• Optimal policies in ecology and resource management
• Probability and its Applications
• Scheduling to Minimize Interaction Cost
• Explicit estimates from capture-recapture data with both death and immigration-stochastic model
• Birth, death and migration processes
• A Combinatorial Method in the Theory of Queues
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