Unformatted text preview: . 25 (3 p − p r )] r . The results of computations are shown in Table 3F. These results indicate that the limiting populations for r = 1 . 5, r = 2, and r = 3 are p ∞ = 9, p ∞ = 3, and p ∞ = √ 3, respectively. Since the righthand side of the given logistic equation, f ( t, p ) = 3 p − p r , does not depend on t , we conclude that this equation is autonomous. Therefore, its equilibrium solutions (if any) 149...
View
Full Document
 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations, Approximation, Subroutine, Boundary value problem, method approximations

Click to edit the document details