| A CLASS OF PREDAfOR-PREY SYSTEMS UNDER A SMRSE EFFECT WHICH POSSESS A DENSITY DEPENDENT OF THE PREDATOR SPECIES |
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| 引用本文： | 沈伯骞,沈聪.A CLASS OF PREDAfOR-PREY SYSTEMS UNDER A SMRSE EFFECT WHICH POSSESS A DENSITY DEPENDENT OF THE PREDATOR SPECIES[J].Annals of Differential Equations,1999(1). |
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| 作者姓名： | 沈伯骞 沈聪 |
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| 作者单位： | Shen Boqian (Dept. of Math.，Liaoning Normal University，Dalian 116029)Shen Cong (Liaoning High Police Academic School，Dalian 116038) |
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| 摘 要： |
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A CLASS OF PREDAfOR-PREY SYSTEMS UNDER A SMRSE EFFECT WHICH POSSESS A. DENSITY DEPENDENT OF THE PREDATOR SPECIES |
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| Shen Boqian.A CLASS OF PREDAfOR-PREY SYSTEMS UNDER A SMRSE EFFECT WHICH POSSESS A. DENSITY DEPENDENT OF THE PREDATOR SPECIES[J].微分方程年刊(英文版),1999(1). |
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| Authors: | Shen Boqian |
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| Abstract: | We discuss a clacks of predator-prey systems under a sparse effect, which possess a dense dependence of the predator species. We prove that this system hasjust one singular point in the first quadrant and it must be a focus (or node).When it is stable, there can .at least exist two limit cycles surrounding it. Alsoa non-existential condition of limit cycles is given. When it is unstable, theremust exist a unique limit cycle surf.ounding it. Thus, the qualitative analysis ofthe system obtained is complete. |
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| Keywords: | predator-prey system sparse effect density dependentAMS Subject Classification 34C05 |
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