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- W2336940085 abstract "In this paper, we study the Beverton–Holt equation with periodic inherent growth rate and periodic carrying capacity in the quantum calculus time setting. After a brief introduction to quantum calculus, we solve the Beverton–Holt q-difference equation using the logistic transformation. This leads to a linear q-difference equation where the solution is obtained using variation of parameters. The analysis of the solution aids our investigation of the first and second Cushing–Henson conjectures under the assumption of a periodic growth rate and a periodic carrying capacity. The first Cushing–Henson conjecture holds in the classical sense, which guarantees the existence of a unique periodic solution which is globally attractive. The analysis of the average of the unique periodic solution of the Beverton–Holt q-difference equation yields formulations of modified second Cushing–Henson conjectures." @default.
- W2336940085 created "2016-06-24" @default.
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- W2336940085 date "2015-01-01" @default.
- W2336940085 modified "2023-10-18" @default.
- W2336940085 title "The Beverton–Holt q-Difference Equation with Periodic Growth Rate" @default.
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- W2336940085 doi "https://doi.org/10.1007/978-3-319-24747-2_1" @default.
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