| 一类非线性差分人口模型解的全局渐近稳定性 |
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| 引用本文： | 罗交晚.一类非线性差分人口模型解的全局渐近稳定性[J].经济数学,1997(2). |
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| 作者姓名： | 罗交晚 |
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| 作者单位： | 长沙铁道学院科研所!长沙，410075 |
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| 摘 要： | 考虑非线性差分方程其中a＞0，b≤0，c＞0．方程（1）是时滞人口模型的离散模拟．J．W．Rodrigus7]研究了方程（1）当k＝0时正平衡解的振动性和全局渐过稳定性．本文我们获得了方程（1）当k＞0时正平衡解全局渐近稳定的充分条件，从而补充了文7]中结论．
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| 关 键 词： | 非线性 全局渐近稳定性 振动 |
GLOBAL ASYMPTOTIC STABILITY IN A NONLINEAR DIFFERENCE POPULATION MODEL |
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| Luo JiaowanResearch.GLOBAL ASYMPTOTIC STABILITY IN A NONLINEAR DIFFERENCE POPULATION MODEL[J].Mathematics in Economics,1997(2). |
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| Authors: | Luo JiaowanResearch |
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| Institution: | Luo JiaowanResearch Department,Changsha Railway University,Changsha 410075. |
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| Abstract: | Consider the nonlinear difference equationwhich is a discrete analogue of the delay differential equation:J. W. Rodrigus7]have studied the global asymptotic stability of the positive equilibviuin of Eq. (1)when k=0.In this paper,we will obtain some sufficient conditions of the global asymptotic stability of the unique positiveequilibrium of Eq. (1)when k>0,and so our results extend the results in 7]. |
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| Keywords: | Nonlinear global asymptotic stability oscillation |
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