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Stability Analysis of Nutrition-Phytoplankton-First Zooplankton-Second Zooplankton-First Fish-Second Fish (NPZ1Z2F1F2) Interaction Model

Asrul Sani*1, Kasliono1 and Mukhsar1
The interaction among living organism is commonly found in nature, including in the marine ecosystem, such as the relationship of producers and consumers in the form of competition, mutualism and predation. In this study, we develop a mathematical model describing the interactions among species in marine ecosystems, involving five marine species, i.e., phytoplankton, first zooplankton, second zooplankton, first fish, second fish, and the nutritional component. The system has eighteen equilibrium points with fifteen non-negative equilibrium points. The stability criteria for each equilibrium point were derived. Most of the equilibrium points are stable and others are unstable and saddle. Numerical experiments were conducted and they showed the behavior of the system as predicted in the analysis. Keywords: Marine ecosystem, competition-mutualism-predation, equilibrium, stability analysis.

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Diterbitkan pada: • Bulletin of Mathematics • ISSN : 2087-5126 (print); 2355-8202 (online) • Vol. 8, Number 2 (2016), pp. 143-157 • Terindeks pada: Jurnal Nasional

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