Hopf bifurcations in a Ricardo-Malthus model |
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Authors: | Ming-Chun Zhou Zong-Yu Liu |
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Institution: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, PR China |
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Abstract: | Brander and Taylor presented a simple and basic framework for discussing the problem on human population and renewable natural resources in the year 1998, and D’Alessandro recently extended this work mainly by introducing a nonlinear term into the model, if seeing from the mathematical point of view. A limit cycle in this new model was reported by the author via numerically simulated drawing. In this paper, we show that this limit cycle actually is a bifurcating limit cycle of a one-parameter Hopf bifurcation. |
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Keywords: | 91B62 37G15 |
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