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Zhang, Xinan; Chen, Lansun; Neumann, Avidan U.

The stage-structured predator-prey model and optimal harvesting policy. (English) Zbl 0961.92037

Math. Biosci. 168, No. 2, 201-210 (2000).
Summary: We establish a mathematical model of two species with stage structure and the relation of predator-prey, to obtain the necessary and sufficient condition for the permanence of two species and the extinction of one species or two species. We also obtain the optimal harvesting policy and the threshold of the harvesting for sustainable development.

Cited in 97 Documents

MSC:

92D40 Ecology
34D05 Asymptotic properties of solutions to ordinary differential equations
37N25 Dynamical systems in biology
34D20 Stability of solutions to ordinary differential equations

Keywords:

threshold of harvesting; maximum sustainable yield; permanence; extinction
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\textit{X. Zhang} et al., Math. Biosci. 168, No. 2, 201--210 (2000; Zbl 0961.92037)
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References:

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