The trade-off between mutual interference and time lags in predator-prey systems
We present a Gause predator-prey model incorporating mutual interference among predators, a density-dependent predator death rate and a time lag due to gestation. It is well known that mutual interference is stabilizing, whereas time delays are destabilizing. We show that in combining the two, a long time-lag usually, but not always, destabilizes the system. We also show that increasing delays can cause a bifurcation into periodic solutions.
KeywordsPeriodic Solution Hopf Bifurcation Functional Differential Equation Negative Real Part Positive Real Part
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