Summary
We analyze the global behavior of a predator-prey system, modelled by a pair of non-linear ordinary differential equations, under constant-rate prey harvesting. By methods analogous to those used to study predator harvesting, we characterize the theoretically possible structures and transitions. With the aid of a computer simulation we construct examples to show which of these transitions can be realized in a biologically plausible model.
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Sponsored by the United States Army under Contract No. DAAG29-75-C-0024 and the National Research Council of Canada, Grant No. 67-3138.
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Brauer, F., Soudack, A.C. Stability regions in predator-prey systems with constant-rate prey harvesting. J. Math. Biology 8, 55–71 (1979). https://doi.org/10.1007/BF00280586
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DOI: https://doi.org/10.1007/BF00280586