Event Detail

Event Type: 
Mathematical Biology Seminar
Wednesday, November 2, 2011 - 09:00 to 10:00
STAG 222

Speaker Info

Oregon State University

Lionfish are top-level venomous predators native to the Indo-Pacific Ocean.
Over the past decade, the species Pterois volitans and P. miles have become
established throughout most of the western Atlantic Ocean, where they
drastically impact coral reef communities. Overfishing of native species,
such as grouper, who share their niche with lionfish may be the reason for
the lionfish's success; research has suggested that at high density,
groupers can act as a lionfish biocontrol. To determine if competition or
predation is the mechanism behind lionfish suppression, we construct a
symmetric intraguild predation model of lionfish, grouper, and prey. Thus,
we assume lionfish and grouper compete for prey in addition to consuming
juveniles of the other species. Holling type I functional responses are used
to represent fecundity and predation. We conduct an equilibrium stability
analysis and bifurcation analysis of the general model, and find that the
system is able to coexist in an equilibrium or sustainable oscillations.
After estimating parameter ranges, simulations and a sensitivity analysis
indicate the parameters most influential to lionfish growth rate. The
implied control strategies are then tested by varying harvesting and
predation rates.