DYNAMICAL CONSISTENCE IN 3-DIMENSIONAL TYPE-K COMPETITIVE LOTKA-VOLTERRA SYSTEM |
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| Authors: | Zhenzhen Chen Jiandong Zhao |
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| Institution: | (School of Math. and Information, Ludong University, Yantai 264025, Shandong) |
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| Abstract: | A 3-dimensional type-K competitive Lotka-Volterra system is considered in this paper. Two discretization schemes are applied to the system with an positive interior fixed point, and two corresponding discrete systems are obtained. By analyzing the local dynamics of the corresponding discrete system near the interior fixed point, it is showed that this system is not dynamically consistent with the continuous counterpart system. |
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| Keywords: | type-K Lotka-Volterra system dynamical consistence Hopf bifurcation |
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