Dynamics of populations in fish farm: Analysis of stability and direction of Hopf-bifurcating periodic oscillation |
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Authors: | Nurul Huda Gazi |
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Institution: | Department of Mathematics, Aliah University, DN-41, Sector V, Salt Lake, Kolkata 700 091, India |
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Abstract: | The paper deals with the dynamical behavior of fish and mussel population in a fish farm where external food is supplied. The ecosystem of the fish farm is represented by a set of nonlinear differential equations involving nutrient (food), fish and mussel. We have listed some results already obtained. We have analyzed for the direction of Hopf-bifurcation, stability of the Hopf-bifurcating periodic orbits, and the period of the periodic orbits by using Poincare’ normal form and center manifold theory. We have performed numerical simulation to support the analytical results. |
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Keywords: | Fish farm Nonlinear differential equation model Stability Time delay Hopf-bifurcation |
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