## The Discrete Logistic EquationThe discrete logistic equation is a crude model of discrete population growth. For example, it could model a species that has a single mating season so that population numbers are updated annually. There is also an annihilation parameter; if the population exceeds this value, then there will be total extinction the following year. Scaling so that the annihilation parameter is 1 we obtain the difference equation:
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Try the following constants and initial conditions to see different types of orbits: Created by Dave Richeson using GeoGebra. |