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The classic Rosenzweig-MacArthur predator-prey model has been shown toexhibit, like other coupled nonlinear ordinary differential equations (ODEs)from ecology, worrying sensitivity to model structure. This sensitivitymanifests as markedly different community dynamics arising from saturatingfunctional responses with nearly identical shapes but different mathematicalexpressions. Using a stochastic differential equation (SDE) version of theRosenzweig-MacArthur model with the three functional responses considered byFussman & Blasius (2005), I show that such sensitivity seems to be solely aproperty of ODEs or stochastic systems with weak noise. SDEs with strongenvironmental noise have by contrast very similar fluctuations patterns,irrespective of the mathematical formula used. Although eigenvalues oflinearised predator-prey models have been used as an argument for structuralsensitivity, they can also be an argument against structural sensitivity. Whilethe sign of the eigenvalues' real part is sensitive to model structure, itsmagnitude and the presence of imaginary parts are not, which suggestsnoise-driven oscillations for a broad range of carrying capacities. I thendiscuss multiple ways to evaluate structural sensitivity in a stochasticsetting, for predator-prey or other ecological systems.

No sensitivity to functional forms in the Rosenzweig-MacArthur model with strong environmental stochasticity