I am having trouble understanding this relationship. Here this is a population model for the migration of animals in different regions. In this case c is the colonization rate (a postive constant) and p(t) is the proportion of geographical regions. The relation is shown in below, I am struggling to find the limit of p(t) as t is approaching infinity. dp/dt = cp(1-p)-p^2 p(0)=p_0 Any help would be greatly appreciated :
I am having trouble understanding this relationship. Here this is a population model for the migration of animals in different regions. In this case c is the colonization rate (a postive constant) and p(t) is the proportion of geographical regions. The relation is shown in below, I am struggling to find the limit of p(t) as t is approaching infinity. dp/dt = cp(1-p)-p^2 p(0)=p_0 Any help would be greatly appreciated :
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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I am having trouble understanding this relationship. Here this is a population model for the migration of animals in different regions. In this case c is the colonization rate (a postive constant) and p(t) is the proportion of geographical regions. The relation is shown in below, I am struggling to find the limit of p(t) as t is approaching infinity.
dp/dt = cp(1-p)-p^2
p(0)=p_0
Any help would be greatly appreciated :)
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