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2016•Unpublished venueRequires access

Stability Analysis of a Competition or Cooperation Dynamic Model among Shoal of Fish

Xiya Shen, Binbin Wang, Hailiang Zhang, Zhoushan Zhejiang

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Abstract

To analyze shoal of fish that is cooperation at low density, but is competition at high density, we establish the fish competition or cooperation motivation model. And combining the fish competition or cooperation motivation model, we establish differential equation stability theory, analyze the stability of the equilibrium point, and give two fish coexistence of multiple stability conditions. The shoal evolution of biological explanation is also given eventually.

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What this paper is about

To analyze shoal of fish that is cooperation at low density, but is competition at high density, we establish the fish competition or cooperation motivation model. And combining the fish competition or cooperation motivation model, we establish differential equation stability theory, analyze the stability of the equilibrium point, and give two fish coexistence of multiple stability conditions. The shoal evolution of biological explanation is also given eventually.

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Available abstract

To analyze shoal of fish that is cooperation at low density, but is competition at high density, we establish the fish competition or cooperation motivation model. And combining the fish competition or cooperation motivation model, we establish differential equation stability theory, analyze the stability of the equilibrium point, and give two fish coexistence of multiple stability conditions. The shoal evolution of biological explanation is also given eventually.

Key concepts: Shoal, Competition (biology), Stability (learning theory), Fish <Actinopterygii>, Equilibrium point, Fishery, Economics, Ecology

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