A coupled system of two isothermal in vitro DNA/RNA amplification reac
tions using different primers is modeled kinetically with realistic ra
te parameters and shown to exhibit oscillatory behavior in a flow reac
tor. One of the two isothermal amplification reactions acts as a preda
tor of the other, the prey. The mechanism of the oscillatory behavior
is analyzed in terms of a hierarchy of kinetic models. The work provid
es an insight into the choice of parameters for experiments. The latte
r are important in providing detailed insight into the complex process
es of ecological interactions and their evolution. (C) 1998 Society fo
r Mathematical Biology.