| 扰动对天敌有多食性模型稳定性的影响 |
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| 引用本文： | 李万同,苏殿贞. 扰动对天敌有多食性模型稳定性的影响[J]. 西北师范大学学报(自然科学版), 1988, 0(4) |
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| 作者姓名： | 李万同 苏殿贞 |
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| 摘 要： | 本文主要讨论了扰动对天敌具有多食性模型 x_1=x_1(r_1-a_1y), x_2=x_2(r_2-a_2y), y=y(-r_3+b_1x_1+b_2x_2)稳定性的影响。利用Liapunov函数得到了昆虫种类内部的密度制约,将促使昆虫与天敌系统进一步稳定化,进而得出同一食饵水平上的竞争是不稳定化的结论。其中后一种情况与J.M,Smith的结论完全一致。
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| 关 键 词： | 多食性模型 稳定性 扰动 食饵 Liapunov函数 |
The Influence on the Stability of Euryphagy Models of Insect''''s Natural Enemies'''' by Disturbance |
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| Li Wantong,Su Dianzheng. The Influence on the Stability of Euryphagy Models of Insect''''s Natural Enemies'''' by Disturbance[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 1988, 0(4) |
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| Authors: | Li Wantong Su Dianzheng |
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| Affiliation: | Li Wantong;Su Dianzheng |
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| Abstract: | In this paper we mainly discuss the influence on the stability of euryphagy models of insect's natural enemies by disturbance. x_1=x_1(r_1-a_1y) x_2=x_2(r_2-a_2y) y=y(-r_3+b_1x_1+b_2x_2) By makingca use of Liapunov type functions, we have obtained the results as fol-lowis. The density dependence of insect populations facilitates the further stab-ility of insects and their natural enemies' systems. The competition on the samelevel of preys causes the destabilization of insects and their natural enemies' sy-stem. The latter conclusion is completely consistent with J. M., Smith's. |
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| Keywords: | euryphagy model stability disturbance prey Liapunov type functions |
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