An optimal stopping problem in the stochastic Gilpin-Ayala population model

DOI10.1186/1687-1847-2012-210zbMath1384.60077OpenAlexW2148080598WikidataQ59290962 ScholiaQ59290962MaRDI QIDQ1690901

Yang Sun, Xiaohui Ai

Publication date: 12 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-210

zbMATH Keywords

optimal stopping timestochastic Gilpin-Ayala population modelsmooth pasting technique

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stopping times; optimal stopping problems; gambling theory (60G40) Diffusion processes (60J60)

Related Items (7)

Local exponential stability of four almost-periodic positive solutions for a classic Ayala-Gilpin competitive ecosystem provided with varying-lags and control terms ⋮ Existence of positive periodic solutions for a class of Gilpin-Ayala ecological models with discrete and distributed time delays ⋮ Global exponential stability of positive almost periodic solutions for a class of two-layer Gilpin-Ayala predator-prey model with time delays ⋮ Global exponential stability of positive periodic solution of the n-species impulsive Gilpin–Ayala competition model with discrete and distributed time delays ⋮ Persistence and extinction of a stochastic non-autonomous Gilpin-Ayala system driven by Lévy noise ⋮ Global exponential stability of positive periodic solutions for a class of multiple species Gilpin-Ayala system with infinite distributed time delays ⋮ Local exponential stability of several almost periodic positive solutions for a classical controlled GA-predation ecosystem possessed distributed delays

Uses Software

• DLMF

Cites Work

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