المستخلص: |
This paper investigates the ecological notion of system persistence in modeling the interaction of two competing predatory populations living exclusively on a common prey. [4] and [2] have discussed the persistence of such models based upon the assumption of nonexistence of limit cycles. In this paper, however; the nonexistence of limit cycles is proven, first, by global asymptotic stability of equilibria through the constriction of a suitable Lyapunov function, and second, persistence criteria of the system are obtained.
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