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Stability and Hopf Bifurcation Analysis of a Predator-Prey Model with Time Delayed Incomplete Trophic Transfer 被引量:1
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作者 chang-qin zhang Liping LIU +1 位作者 Ping YAN Lin-zhong zhang 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2015年第1期235-246,共12页
A new nonlinear predator-prey model with incomplete trophic transfer is introduced. In this model, we assume that the rate of the trophic absorption of the predator is less than the rate of the conversion of consumed ... A new nonlinear predator-prey model with incomplete trophic transfer is introduced. In this model, we assume that the rate of the trophic absorption of the predator is less than the rate of the conversion of consumed prey to predator in the Ivlev-type functional responses. The existence and uniqueness of the positive equilibrium of the model and the stability of the equilibrium of the model are studied under various conditions. Hopf bifurcation analysis of the delayed model is provided. 展开更多
关键词 incomplete trophic transfer time delay Ivlev-type existence and uniqueness STABILITY HOPFBIFURCATION
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Natural Hybridization between Rhododendron delavayi and R.cyanocarpum(Ericaceae),from Morphological,Molecular and Reproductive Evidence 被引量:22
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作者 Yong-Peng Ma chang-qin zhang +1 位作者 Jing-Li zhang Jun-Bo Yang 《Journal of Integrative Plant Biology》 SCIE CAS CSCD 2010年第9期844-851,共8页
The natural hybridization that occurs between two sympatric species of Rhododendron subgenus Hymenanthes in Yunnan, China, was investigated. In field observations, it was noted that the putative hybrids between R. del... The natural hybridization that occurs between two sympatric species of Rhododendron subgenus Hymenanthes in Yunnan, China, was investigated. In field observations, it was noted that the putative hybrids between R. delavayi Franch. and R. cyanocarpum (Franch.) Franch. ex W.W. Sm. had intermediate morphologies. On the basis of morphology, chloroplast DNA (trnL-rp132) and nuclear DNA (waxy), hybrids and parental species were identified. Hybridization occurred in both directions, but was asymmetrical, with R. delavayi as the major maternal parent. Reciprocal hand pollination treatments showed that either species, as pollen donor or pollen receiver, could produce fruits. It was noted that fruit set varied among treatments. The same pollinators (bumblebees) were shared in both parental species. From these results, we conclude that individuals with intermediate morphologies are indeed of hybrid origin from natural hybridization between R. cyanocarpum and R. delavayi. Furthermore, we presume the hybridization at the study site could have been initiated by habitat disturbance in the 1950s, and we may hence witness the early stages of hybrid swarm formation. 展开更多
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