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Biology: Predator-Prey Cycles The graph below demonstrates snowshoe hare and lynx population fluctuations. The cycles of each population follow a periodic pattern. Describe several factors that could be contributing to the cyclical patterns.
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The snowshoe hare is the prey and the lynx is the predator. The population of the snowshoe hare is much larger than that of the lynx. Show more…
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The lynx-snowshoe hare population dynamic pictured here represents an example of population: A growing hare population provides more food for the lynx, which then reproduce at higher rates. Snowshoe hares (prey) Lynx (predator) experience a cycle where the lynx population increases due to an abundance of hares, leading to a reduction in their food source and causing the hare population to crash. This enables the hare population to grow.
Draw a diagram that illustrates the possible fluctuating population cycles of a predator, such as the mountain lion, and its prey species, such as deer. The prey regularly experiences population crashes when it overgrazes its food source. Label your axes.
Biology: Predator-Prey Cycle The population $P$ of a predator at time $t$ (in months) is modeled by $P=5700+1200 \sin \frac{2 \pi t}{24}$ and the population $p$ of its prey is modeled by $p=9800+2750 \cos \frac{2 \pi t}{24}$ (a) Use a graphing utility to graph both models in the same viewing window. (b) Explain the oscillations in the size of each population.
Trigonometric Functions
Graphs of Trigonometric Functions
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