Interaction of two species of squirrels fiercely competing for the same ecological niche on an island is described by Lotka-Volterra-Gause equations dN1 N1(2 – N1 – 2N2) = f(N1, N2), dt (1) dN2 N2(3 – N2 – 3N1) = g(N1, N2), dt where N1 = N1(t) and N2 = N2(t) are the population densities of the competing species.

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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(a) Find all equilibria in model (1) and explain biological meaning of each of them. Which
of the equilibria are biologically feasible?
Transcribed Image Text:(a) Find all equilibria in model (1) and explain biological meaning of each of them. Which of the equilibria are biologically feasible?
Interaction of two species of squirrels fiercely competing for the same ecological niche on
an island is described by Lotka-Volterra-Gause equations
dN1
N1(2 – N1 – 2N2) = f(N1, N2),
dt
(1)
dN2
N2(3 – N2 – 3N1) = g(N1, N2),
dt
where N1 = N1(t) and N2 = N2(t) are the population densities of the competing species.
Transcribed Image Text:Interaction of two species of squirrels fiercely competing for the same ecological niche on an island is described by Lotka-Volterra-Gause equations dN1 N1(2 – N1 – 2N2) = f(N1, N2), dt (1) dN2 N2(3 – N2 – 3N1) = g(N1, N2), dt where N1 = N1(t) and N2 = N2(t) are the population densities of the competing species.
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