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Unformatted text preview: nullclines are: (Download SSG8.7: 2D Nonlinear , this document has not been properly proofread) x-nullclines : x =0 and y = h ( x ) where f ( x , h ( x ) ) =0 y-nullclines : y =0 and y = k ( x ) where g ( x , k ( x ) ) =0 5. Phase space diagram in x-y plane. Plot regions where dx dt > ( < )0 and dy dt > ( < )0 by looking at the signs of f ( x , h ( x ) ) and g ( x , k ( x )) in different zones mapped out by the plots of the nullclines in the positive quadrant of the x-y plane. Arbitrary example an equilibrium center and an attractor at (0,0). The separatrix (dotted line) is approximate 6. Prey-predator equations. See various texts including Case 2000. Also see http://www.scholarpedia.org/article/Predator-prey_model...
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This note was uploaded on 02/09/2011 for the course EEP 115 taught by Professor Waynem.getz during the Fall '10 term at Berkeley.
- Fall '10