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Author for correspondence: Scott L. Nuismer e-mail: snuismer@uidaho.edu
J.J.B., R.A., B.M.A. and S.L.N. conceived of the study
R.A., R.M. and S.L.N. developed the model and derived analytical solutions
B.M.A. and S.L.N. performed stochastic simulations
J.J.B., R.A., S.L.N., B.M.A. and R.M. helped draft the manuscript.
All authors gave final approval for publication.
We declare we have no competing interests.
Funding was provided by NSF grant nos. DEB 1118947 and DEB 1450653 (S.L.N.), NSF Cooperative Agreement No. DBI-0939454 (J.J.B. and S.L.N.), NIH grant GM57756 (J.J.B.), NIH grant nos. U54 GM111274 and U19 AI117891 (R.A.), NIH grant no. GM122079 (S.L.N. and J.J.B.) and from The Bill & Melinda Gates Foundation through the Global Good Fund, the Santa Fe Institute and the Omidyar Group (B.A.).
© 2016 The Author(s) Published by the Royal Society. All rights reserved.