Cheryl J. Briggs, Roger M. Nisbet, William W. Murdoch, Timothy R. Collier, J.A.J. Metz, Dynamical Effects of Host-Feeding in Parasitoids, Journal of Animal Ecology, Vol. 64, No. 3 (May, 1995), pp. 403-416
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Briggs et al. (1995) studied this question.