In this work we develop and analyze a mathematical model of biological control to prevent or
attenuate the explosive increase of an invasive species population, that functions as a top
predator, in a three-species food chain. We allow for finite time blow-up in the model as a
mathematical construct to mimic the explosive increase in population, enabling the species
to reach “disastrous”, and uncontrollable population levels, in a finite time. We next improve
the mathematical model and incorporate controls that are shown to drive down the invasive …