Sv. Petrovskii, ON THE APPLICATION OF PREDATOR-PREY-LIKE MODELS TO SIMULATING OF OPEN-SEA POPULATION TEMPORAL DYNAMICS, Okeanologia, 35(1), 1995, pp. 94-100
The mathematical models of open-sea ecosystems are considered. The ana
lysis of stability is performed; it is shown that stable points stay i
n the region of positive values of biomass only when ecosystem paramet
ers are under cirtain conditions. For some values of parameters the st
able point turns unstable and then the limit cycle appears through the
Hopf bifurcation. The biomass mean values dependence on the free para
meters is obtained.