Volume 9, Number 2, Summer 2001
MATHEMATICAL MODELS OF PREDATOR MUTUALISTS
H.I. FREEDMAN, R. KUMAR, A.K. EASTON AND M. SINGH
Abstract. Systems of differential equations are proposed
as models of predator mutualists which cooperate in hunting for prey. In the case that the mutualism is facultative on
at least one of the predators, it is shown that both predators may persist on only one prey population.
In the case of obligate mutualism, it is shown that if the mutualism is sufficiently strong, then a reversal
of outcome is possible in the sense that there may exist a positive stable invariant set.