Periodic functions related to the Gompertz difference equation

Tom Cuchta; Nick Wintz

doi:10.3934/mbe.2022407

Periodic functions related to the Gompertz difference equation

Math Biosci Eng. 2022 Jun 17;19(9):8774-8785. doi: 10.3934/mbe.2022407.

Authors

Tom Cuchta¹, Nick Wintz²

Affiliations

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.

PMID: 35942735
DOI: 10.3934/mbe.2022407

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.

Keywords: Gompertz; difference equations; periodic solution; population model.

Publication types

Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

Models, Biological*
Periodicity*