Mortal Fibonacci Rabbits

Consider an idealized biological system consisting of mortal rabbits with some fixed initial number of baby rabbit pairs. After the rabbits become mature each pair begets a new pair every month. Use the controls to explore how the rabbits' life span, age of fertility, and initial number of pairs affect the population growth.

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One generation after the first rabbits have occupied the ecosystem, the population satisfies , where is the age of fertility and is the lifespan.
A. M. Oller, "The Dying Rabbit Problem Revisited," arXiv:0710.2216 in Cornell University Library's arXiv.org.
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Related Curriculum Standards

US Common Core State Standards, Mathematics