Mathematical Biology REU 2003

Worksheet 2-Lotka-Volterra

Worksheet 3-Some 3d Tools

Worksheet 4-Lotka-Volterra 3d

Worksheet 5-Lotka-Volterra 3d

Worksheet 6-A 3d Cycle

Worksheet 7 May Leonard Model

Periodic using Stokes

Worksheet 8 Chi, Hsu, Wu

RESOURCES

Hudson's Bay Data

Lotka-Volterra 2d Applet

Sample MAPLE file with matrix help (right click and 'save target as' then open with MAPLE)

Sample MAPLE file with 3d ODE plotting (save file and open with MAPLE)

Chi,Hsu,Wu Paper

Zeeman Heteroclinic Paper

Szentkuti paper

Hirsch paper

May-Leonard paper

Van Den Driessche and Zeeman paper --case where all fixed pts on the axes are attractors or all repellors.

Image of a 3d saddle point P with linearization having 1 positive real eigenvalue and 2 complex conjugate eigenvalues with negative real part. W_S = stable manifold; W_U = unstable manifold

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E-Mail jpp4@psu.edu

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