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Questio A common assumption is that the rate of cliscovery of new species is proportional to the by timet. fraction of currently uncliscovered species. It dit is the fraction of species, discoverd a recursion equation clescribing this process C++1 = d+ + a (1-0₂) where a is a constant representing the eliscovery rate. a) Find equilibrium points , you b) if a=0.5, then determine the stability points, it a=0.1, determince stability points foundin (a) foundin (a)

Questio A common assumption is that the rate of cliscovery of new species is proportional to the by timet. fraction of currently uncliscovered species. It dit is the fraction of species, discoverd a recursion equation clescribing this process C++1 = d+ + a (1-0₂) where a is a constant representing the eliscovery rate. a) Find equilibrium points , you b) if a=0.5, then determine the stability points, it a=0.1, determince stability points foundin (a) foundin (a)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 2 # A common assumption is that the rate of discovery of new species is proportional to the fraction of currently uncliscovered species. It ct is the fraction of species, discoverd by timet. a recursion equation clescribing this, process d+ +1 = d++ a (1-da) where a is a constant representing the eliscovery rate. a) Find equilibrium points. , you b) if a = 0.5, then determine the stability points, () it a=0.1, determince stability points foundin (a) foundin (a)
Transcribed Image Text:Question 2 # A common assumption is that the rate of discovery of new species is proportional to the fraction of currently uncliscovered species. It ct is the fraction of species, discoverd by timet. a recursion equation clescribing this, process d+ +1 = d++ a (1-da) where a is a constant representing the eliscovery rate. a) Find equilibrium points. , you b) if a = 0.5, then determine the stability points, () it a=0.1, determince stability points foundin (a) foundin (a)
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