Q.J.A. Khan and M.A. Al-Lawatia (Oman)
prey, predator, switching, stability, control strategies.
We studied a switching mathematical model for the interac
tion of prey (bird), mesopredator (rabbit) and superpredator
(cat). Bird and rabbit population are more prone to cat pop
ulation at higher densities. The stability analysis is carried
out for seven equilibrium values. We ﬁnd out conditions
under which these three species co-exist and discuss the
way to save bird population. The theoretical results are
compared with the numerical results for a set of values.