Advanced search
Publication Cover
PRIMUS
Problems, Resources, and Issues in Mathematics Undergraduate Studies
Volume 33, 2023 - Issue 2
Submit an article Journal homepage
152
Views
1
CrossRef citations to date
0
Altmetric
Research Articles

Improved Approaches to Discrete and Continuous Logistic Growth

Dan KalmanCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-9477-1516View further author information
ORCID Icon
Pages 107-122 | Published online: 17 Mar 2022

References

  • Crauder, B., B. Evans, and A. Noell. 2013. Functions and Change: A Modeling Approach to College Algebra, Fifth Edition. Belmont, CA: Cengage Learning.
  • Demana, F., B. K. Waits, G. D. Foley, and D. Kennedy. 2001. Precalculus: Functions and Graphs, Fourth Edition. Reading, MA: Addison Wesley.
  • Gordon, S. P.. 2008. Comparing the discrete and continuous logistic models. Primus. XVIII(5): 449–455.
  • Gordon, S. P., F. S. Gordon, A. C. Tucker, and M. J. Siegel. 2004. Functioning in the Real World: A Precalculus Experience, Second Edition. Boston: Addison Wesley.
  • Hoppensteadt, F. C. 1982. Mathematical Methods of Population Biology. Cambridge, Cambridgeshire: Cambridge University Press.
  • Kalman, D. 2019. Supplementary Resources for “Improved Approaches to Discrete and Continuous Logistic Growth”. http://www.dankalman.net/logistic/primus. Accessed 02 February 2022.
  • Kalman, D. In press. Verhulst discrete logistic growth. Mathematics Magazine.
  • Kalman, D., S. Forgoston, and A. Goetz. 2019. Elementary Mathematical Models: An Accessible Development without Calculus, Second Edition. Providence, RI: American Mathematical Society.
  • Kalman, D., S. Forgoston, and A. Goetz. 2020. Technology Guide for Elementary Mathematical Models, 2nd Edition. http://emm2e.info/techguide.pdf. Accessed 02 February 2022.
  • Larson, R. and D. C. Falvo. 2014. College Algebra, 9th ed. Boston: Cengage.
  • Mahaffy, J. M. 2019. Logistic Growth and Nonlinear Dynamical Systems. http://jmahaffy.sdsu.edu/courses/s00/math121/lectures/logistic_growth/logistic.html. Accessed 02 February 2022.
  • May, R. M. 1976. Simple mathematical models with very complicated dynamics. Nature. 261: 459–467. https://ned.ipac.caltech.edu/level5/Sept01/May/frames.html. Accessed 02 February 2022.
  • Nykamp, D. Q., J. L. Cornette, and R. A. Ackerman. 2019. Environmental carrying capacity. Math Insight. http://mathinsight.org/environmental_carrying_capacity. Accessed 02 February 2022.
  • Stewart, J., L. Redlin, and S. Watson. 2012. Precalculus: Mathematics for Calculus, Sixth Edition. Belmont, CA: Cengage Learning.
  • Utida, S. 1967. Damped oscillation of population density at equilibrium. Researches on Population Ecology. 9(1): 1–9.
  • Wilson, F., S. L. Adamson, T. Cox, and A. E. O'Bryan. 2012. College Algebra: A Make it Real Approach. Belmont, CA: Cengage Learning.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.