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90 80 70 60 50 Year Hares (x1000) Lynx(x1000) 1900 30 4 1901 47 2 6.1 1902 70.2 9.8 1903 77.4 35.2 1904 36.3 59.4 1905 20.6 4
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In an ecological system, a predator and a prey are two different species where the predator feeds on the prey. The 20 year data assumptions show predator-prey interaction between the two species hare and lynx. The number of predators influences the number of prey. When the number of preys becomes insufficient, the predators die due to starvation. The predator- prey cycle continues until there exists, a survival competition for both the organisms.

Therefore the option C is the correct choice. The graph represents a discrete time model for the 20 years of collected population data of hares and lynx. The population rises and falls depending on the predator-prey population. A slow rise followed by reaching the peak and then a decline but not reaching zero represents a cycling over time of both the hare and lynx species.

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