| 摘要: |
| 在单种群生长模型的基础上提出了多种群下的Richards模型,并对相关的参数给出了明确的生物学意义,认为该模型有效地包括了种群的竞争关系,偏利与偏害关系,共生与互惠关系等。同时,对两种群下的情况进行了稳定性分析,结果表明,两种群下的相互作用方程是该模型的一个特例,表明多种群下的Richards模型在一定程度上拓展了Richards模型的应用空间。最后对模型进行了一部分定性的讨论。 |
| 关键词: Richards模型 多种群 种群关系 |
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| 基金项目:国家自然科学基金项目(39970112)；陕西省重点项目(2001SM01) |
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| Study on the extending for Richards model |
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| Abstract: |
| Firstly,this paper put forward new Richards model of multiple populations based on growth model of single population,then gave the biological meaning of related parameters and thought that this model included all relationships effectively among populations (competition,partial-advantage,partial-deleteriousness,mutualism,community,etc).Also,stability of two populations was analyzed.Analysis showed that interaction equation was a special case of this model,which explained multiple population Richards model having extended single population Richards model on certain level.Finally,this paper made some qualitative analysis to new Richards model. |
| Key words: Richards model multiple populations relationship of population |
