#### Abstract

Leslie matrices are taught as a method of modeling populations in a discrete-time fashion with more detail in the tracking of age groups within the population. Leslie matrices have limited use in the actual modeling of populations, since when the age groups are summed, it is basically equivalent to discrete-time modeling assuming exponential population growth. The logistic model of population growth is more realistic, since it takes into account a carrying capacity for the environment of the population. This talk will describe an adjustment to the Leslie matrix approach for population modeling that is both takes into account the carrying capacity of the population’s environment and is analogous to the discrete logistic model, summarizing work by A. L. Jensen (1995).

#### Disciplines

Other Applied Mathematics | Other Mathematics

#### Recommended Repository Citation

Kessler, Bruce. (2013). Leslie Matrices for Logistic Population Modeling. *WKU Mathematics Symposium*.

**Original Publication URL:** https://works.bepress.com/bruce_kessler/89/download/

**Available at:**
https://digitalcommons.wku.edu/math_fac_pub/81