Periodic functions related to the Gompertz difference equation

Tom Cuchta; Nick Wintz; Tom Cuchta; Nick Wintz

doi:10.3934/mbe.2022407

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 9: 8774-8785. doi: 10.3934/mbe.2022407

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Periodic functions related to the Gompertz difference equation

Tom Cuchta ^{1
,
,},
Nick Wintz ²

1.
Department of Computer Science and Mathematics, Fairmont State University, Fairmont, WV, USA
2.
Department of Mathematics, Computer Science, and Information Technology, Lindenwood University, St. Charles, MO, USA

Received: 11 May 2022 Revised: 31 May 2022 Accepted: 06 June 2022 Published: 17 June 2022

We investigate periodicity of functions related to the Gompertz difference equation. In particular, we derive difference equations that must be satisfied to guarantee periodicity of the solution.
- difference equations,
- periodic solution,
- Gompertz,
- population model
Citation: Tom Cuchta, Nick Wintz. Periodic functions related to the Gompertz difference equation[J]. Mathematical Biosciences and Engineering, 2022, 19(9): 8774-8785. doi: 10.3934/mbe.2022407

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Abstract

We investigate periodicity of functions related to the Gompertz difference equation. In particular, we derive difference equations that must be satisfied to guarantee periodicity of the solution.

References

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