1 the predation p(n) on a population n(t) is very fast and a model for the prey n() satisfies n2 dn dt p 1-exp where r. k, p and a are positive constants. by an appropriate nondimensionalisa- tion show that the equation is equivalent to du dt it where r and q are positive parameters. demonstrate that there are three possible nonzero steady states if r and q lie in a domain in r. q space given approximately by rq 4. could this model exhibit hysteresis?