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一类具有群体防御行为的庄稼-害虫-天敌模型的动力学分析
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作者 刘美玉 刘兵 《鞍山师范学院学报》 2024年第2期6-14,共9页
研究一类具有群体防御行为的庄稼-害虫-天敌模型的动力学性质.首先,给出了正平衡点的存在条件以及平衡点局部渐近稳定的条件;其次,利用规范型理论和中心流型定理系统分析了Hopf分支的相关性质,包括存在性、稳定性和分支方向等;最后,通... 研究一类具有群体防御行为的庄稼-害虫-天敌模型的动力学性质.首先,给出了正平衡点的存在条件以及平衡点局部渐近稳定的条件;其次,利用规范型理论和中心流型定理系统分析了Hopf分支的相关性质,包括存在性、稳定性和分支方向等;最后,通过数值模拟验证理论分析的结果. 展开更多
关键词 庄稼-害虫-天敌模型 渐近稳定 中心流型定理 HOPF分支
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具有阶段结构的害虫-天敌模型的脉冲控制 被引量:2
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作者 黄利航 黄建科 《河南科技大学学报(自然科学版)》 CAS 北大核心 2011年第3期63-67,112,共5页
研究了一类具有阶段结构的害虫-天敌系统。当使用杀虫剂消灭害虫时,研究脉冲形式的控制,得到了无天敌时系统存在稳定的周期解。然后利用分支理论,讨论害虫-天敌模型的非平凡周期解,周期解由稳定变成不稳定的。
关键词 阶段结构 害虫-天敌模型 脉冲控制 周期解
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Effects of crop species richness on pest-natural enemy systems based on an experimental model system using a microlandscape 被引量:2
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作者 ZHAO ZiHua SHI PeiJian +2 位作者 MEN XingYuan OUYANG Fang GE Feng 《Science China(Life Sciences)》 SCIE CAS 2013年第8期758-766,共9页
The relationship between crop richness and predator-prey interactions as they relate to pest-natural enemy systems is a very important topic in ecology and greatly affects biological control services.The effects of cr... The relationship between crop richness and predator-prey interactions as they relate to pest-natural enemy systems is a very important topic in ecology and greatly affects biological control services.The effects of crop arrangement on predator-prey interactions have received much attention as the basis for pest population management.To explore the internal mechanisms and factors driving the relationship between crop richness and pest population management,we designed an experimental model system of a microlandscape that included 50 plots and five treatments.Each treatment had 10 repetitions in each year from 2007 to 2010.The results showed that the biomass of pests and their natural enemies increased with increasing crop biomass and decreased with decreasing crop biomass;however,the effects of plant biomass on the pest and natural enemy biomass were not significant.The relationship between adjacent trophic levels was significant(such as pests and their natural enemies or crops and pests),whereas non-adjacent trophic levels(crops and natural enemies) did not significantly interact with each other.The ratio of natural enemy/pest biomass was the highest in the areas of four crop species that had the best biological control service.Having either low or high crop species richness did not enhance the pest population management service and lead to loss of biological control.Although the resource concentration hypothesis was not well supported by our results,high crop species richness could suppress the pest population,indicating that crop species richness could enhance biological control services.These results could be applied in habitat management aimed at biological control,provide the theoretical basis for agricultural landscape design,and also suggest new methods for integrated pest management. 展开更多
关键词 biological control service BIOMASS habitat management microlandscape trophic level
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