Global dynamics of a predator–prey system modeling by metaphysiological approach

Jiang-Hong Hu, Ya-Kui Xue, Gui-Quan Sun, Zhen Jin and Juan Zhang

Applied Mathematics and Computation, 2016, vol. 283, issue C, 369-384

Abstract: In this paper, a systematical analysis of a predator–prey system based on metaphysiological approach is proposed, which considers changes in the aggregate biomass density rather than changes in the demographics. Bifurcation behaviors including transcritical and Hopf bifurcation are observed in this type of system, and bubble phenomena can be seized by setting appropriate values for parameters. The obtained results provide some new insights in population dynamics, which play important roles in maintaining population diversity.

Keywords: Predator–prey system; Metaphysiological approach; Bifurcation; Bubble phenomena (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:283:y:2016:i:c:p:369-384

DOI: 10.1016/j.amc.2016.02.041

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