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The cycles

Let us prove, using the Dulac criterion (see, e.g., [11]), that there are no cycles among the solutions of the system (6)-(7). Note that tex2html_wrap_inline1489.

Since the expression
eqnarray185
is negative for any T and N which belong to the interior of the positive quadrant, then the system (6)-(7) does not have any closed trajectory.


next up previous
Next: Stability analysis Up: The model: Formulation and Previous: Equilibria

Werner von Bloh (Data & Computation)
Thu Jul 13 11:24:58 MEST 2000