| Watkinson时滞差分方程模型的全局渐近稳定性 |
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| 引用本文： | 李道改,陈海波,罗交晚. Watkinson时滞差分方程模型的全局渐近稳定性[J]. 生物数学学报, 2000, 15(1): 115-119 |
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| 作者姓名： | 李道改 陈海波 罗交晚 |
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| 作者单位： | 1. 湖南农业大学长沙 410128
2. 长沙铁道学院长沙 410075 |
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| 摘 要： | 考虑差分方程ｘｎ＋１＝λｘｎ／（１＋ａｘｎ－ｋ）＾ｐ＋ｂλｘｎ－ｍ，ｎ＝０，１，２，…，其中ａ，ｂ，ｐ＞０，λ＞１，ｋ，ｍ∈｛０，１，２，…｝，当ｋ＝ｍ＝０时，Ｗａｔｋｉｎｓｏｎ用此方程来描述热带地区季蜀黍属作物的生长规律，当Ｐ＝１时，此方程就是著名的含多个滞量的Ｌｏｇｉｓｔｉｃ微分方程的离散模拟，本文主要目的是研究该方程唯一正平衡解的全局渐近稳定性。
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| 关 键 词： | 全局渐近稳定性 时滞Watkinson模型 |
| 文章编号： | 1001-9626(2000)01-115-05 |
| 修稿时间： | 1998-10-30 |
Global Asymptotic Stability in the Delay Watkinson Model |
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| Li Daogai,CHEN Haibo,Luo Jiaowan. Global Asymptotic Stability in the Delay Watkinson Model[J]. Journal of Biomathematics, 2000, 15(1): 115-119 |
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| Authors: | Li Daogai CHEN Haibo Luo Jiaowan |
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| Affiliation: | Li Daogai;(Hunan Agriculture Uniuersity Chang sha 410028);Chen Haibo,Luo Jiaowan;(Changsha Railwong Uniuersity. Changaha 410675) |
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| Abstract: | Consider the difference equationxn+1=(xn)/((1+axn-k)p+bxn-m), n=0,1,2,,where a,b,p (0,), (1,) and k,m 0,1,2,,This equation, when k=m=0, has been proposed by Watkinson as a model describing the population dfnamics ofthe annual plant sorghum intrans. Also, when p=1, It is special case of the discrete delaylogistic model with several delays.The purpose of this paper is to investigate the global asymptotic stability of the unique positive equilibriumof this equation. |
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| Keywords: | Global asymptotic stability Delay watkinson model Oscillation |
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