Determining sustainable harvest strategies are of interest in order
to avoid overexploitation of ecosystems. In this report the
dynamics of sh populations a ected by shery is studied. The
aim is to nd an optimal catch policy under which shery shall
be performed in order to obtain maximum catch without the sh
population facing extinction. By formulating this as an optimal
control problem, Pontryagin's principle can be used in order to
nd optimal harvest strategies. The numerical results show that
for a spatially independent model of a single population, there is an
optimal population size which gives maximum yield. For interdependent
species, interference by shery may change the qualitative
behaviour of the dynamical system. The majority of the studied
dynamical systems had a stationary optimal strategy.
2016. , 33 p.