Dr. Ginzburg’s most known academic work is a theory of predation (the ratio-dependent or Arditi-Ginzburg equations) that is an alternative to the classic prey-dependent Lotka-Volterra and MacArthur-Rosenzweig models. His book with Roger Arditi, How Species Interact, summarizes their proposed alteration of the standard view. The recent editions of the standard college Ecology textbook devote equal space to the Lotka-Volterra and Arditi-Ginzburg equations.

 

Next in recognition has been the idea of inertial growth or an explanation of population cycles, based upon maternal effect model, the main point of the book with Mark Colyvan, Ecological Orbits and a more recent paper co-authored with Charley Krebs.

 

Dr. Ginzburg’s current interests is an evolutionary theory of non-adaptive selection (selective disappearance of unstable configurations). The recent book Nonadaptive Selection: an evolutionary source of ecological laws, joint with John Damuth, was published in 2025.

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A 2018 rating published in Nature: Ecology & Evolution has listed the Drs. Ginzburg and Jensen 2004 paper as one of the 100 must read in the history of Ecology, a selection out of half a million papers since Darwin.

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Lev Ginzburg started Applied Biomathematics, a software firm in East Setauket, New York, in 1982. Applied Biomathematics focused primarily on ecology and conservation. The most known product of the company is RAMAS software. The company was principally funded by research grants and contracts from the U.S. government and private industry . Dr. Ginzburg's work in risk analysis and applied ecology has been conducted at Applied Biomathematics in collaboration with Dr. Scott Ferson and Dr. Resit Akcakaya, who are now professors, respectively, at the University of Liverpool, UK, and Stony Brook University, New York, USA.