Lotka-Volterra practice A small lake is capable of supporting both bluegill and small- mouth bass. These two bony fish species compete for similar food resources. The carrying capacity of this lake for bluegill (K₁) is 1,500 and for bass (K₂) is 500. After some careful measurement, we find that a is 0.5 and that ẞ is 0.25. We stock the lake with 250 bluegill and 750 bass. Over time, will both species be able to co-exist? If not, which one will be driven to extinction in this lake? If so, approximately how many of each species will be present?
Lotka-Volterra practice A small lake is capable of supporting both bluegill and small- mouth bass. These two bony fish species compete for similar food resources. The carrying capacity of this lake for bluegill (K₁) is 1,500 and for bass (K₂) is 500. After some careful measurement, we find that a is 0.5 and that ẞ is 0.25. We stock the lake with 250 bluegill and 750 bass. Over time, will both species be able to co-exist? If not, which one will be driven to extinction in this lake? If so, approximately how many of each species will be present?
Chapter10: Feeds And Feeding
Section: Chapter Questions
Problem 18SA
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Transcribed Image Text:Lotka-Volterra practice
A small lake is capable of supporting both bluegill and small-
mouth bass. These two bony fish species compete for similar
food resources. The carrying capacity of this lake for bluegill
(K₁) is 1,500 and for bass (K₂) is 500. After some careful
measurement, we find that a is 0.5 and that ẞ is 0.25. We
stock the lake with 250 bluegill and 750 bass. Over time, will
both species be able to co-exist? If not, which one will be
driven to extinction in this lake? If so, approximately how
many of each species will be present?
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