Fall 2009 Seminar Series
| 2009.11.10 | SCIE 1504, 3:00-4:00pm | |
| M. Radin | ( |
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| The convergence nature and the periodic nature of the solutions of the second order rational system of difference equations; comparison to the global behavior of solutions of second order rational difference equations | ||
| We investigate the boundedness character of
nonnegative solutions of a rational system in the plane. The
system contains 10 parameters with nonnegative real values and
consists of 343 special cases, each with positive parameters. In
342 out of the 343 special cases, we establish easily verifiable
necessary and sufficient conditions, explicitly stated in terms
of the 10 parameters, which determine the boundedness character
of solutions of the system. In the remaining special case, we
conjecture the boundeness character of solutions. It is
interesting to note that this special case can be transformed to
the well known “May's Host-Parasitoid model” This is joint work with Elias Camouzis from Deree College in Athens, Gerasimos Ladas from the University of Rhode Island and Amal Amleh from the University of Waterloo. |
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