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| 1 | 具有Ivlev功能反应的捕食-食饵模型在零解处的分歧显示文摘研究了一类齐次Dirichlet边界条件下具有Ivlev功能反应的捕食-食饵扩散模型.主要涉及的工具包括Lyapunov-Schmidt约化方法,隐函数定理和线性化方法.讨论了系统在零解处小分歧正解的存在性和渐近稳定性,并通过数值模拟分析补充了理论分析结果. | 吴建华 杨文彬 | 2014 | 陕西师范大学学报(自然科学版)2014，42，6： | 4 |
| 2 | 一类具一般功能反应的脉冲控制微分方程模型的非平凡周期解分支显示文摘研究一类具一般功能反应的脉冲控制微分方程模型的非平凡周期解的形成问题。应用脉冲常微分方程的Floquet理论和比较方法证明了害虫绝灭解全局渐近稳定的条件;利用闪频映射的非平凡不动点方法证明了系统非平凡周期解分支的存在性。 | 刘华祥 曾广洪 | 2012 | 南昌大学学报(理科版)2012，36，5： | 2 |
| 3 | Modelling the Effects of Pest Control with Development of Pesticide Resistance显示文摘In this paper,we assume that the pest population is divided into susceptible pests and infected pests,and only susceptible pests do harm to crops.Considering the two methods of spraying pesticides and releasing infected pests and natural enemies to control susceptible pests(the former is applied more frequently),and assuming that only susceptible pests develop resistance to pesticides,a pest control model with resistance development is established.By using the basic theory of impulsive differential systems and analytical methods,the sufficient condition for the global attractiveness of the susceptible pest eradication periodic solution is given.Combined with numerical simulations,the effects of spraying frequency of pesticides on critical threshold conditions for eradicating susceptible pests are discussed.The results confirm that it is not that the more frequently the pesticides are sprayed,the better the result of the pest control is.Two control strategies for eradicating susceptible pests are proposed:switching pesticides and releasing natural enemies elastically.Finally,the parameters in the critical threshold are analyzed from the following two aspects:(1)The key factors affecting pest control are determined by parameter sensitivity analyses.The results indicate that the correlation of the critical threshold concerning the killing efficiency rate and the decay rate of pesticides to susceptible pests varies due to the resistance development of susceptible pests.(2)Three-dimensional graphs and contours of susceptible pest eradication critical threshold with two parameters are simulated,and the effects of the main parameters on the critical threshold are analyzed. | Bing LIU Bao-lin KANG Feng-mei TAO Gang HU | 2021 | Acta Mathematicae Applicatae Sinica2021，37，1： | 2 |
| 4 | 基于IPM策略的具有一般功能性反应的捕食与被捕食模型的动力学性质显示文摘基于综合害虫管理策略(IPM),对具有脉冲效应的一般功能反应的两种群捕食与被捕食模型进行了分析.通过利用脉冲微分方程的Floquet理论和比较原理,证明了当脉冲周期小于某个临界值时,系统存在一个全局渐近稳定的害虫根除周期解. | 张泽薇 谭佳 | 2007 | 新疆大学学报(自然科学版)2007，24，3： | 1 |
| 5 | Stability and Hopf Bifurcation Analysis of a Predator-Prey Model with Time Delayed Incomplete Trophic Transfer显示文摘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. | Chang-qin ZHANG Liping LIU Ping YAN Lin-zhong ZHANG | 2015 | Acta Mathematicae Applicatae Sinica2015，31，1： | 1 |
| 6 | 比率依赖Ivlev-Tanner模型的定性分析显示文摘研究基于比率的Ivlev-Tanner模型,得出系统正平衡点全局渐近稳定及极限环境存在唯一的充分条件. | 梁志清 | 2008 | 玉林师范学院学报2008，29，3： | 1 |
| 7 | 基于IPM策略的捕食模型的动力学分析显示文摘研究了综合害虫治理(IPM)策略下捕食者与食饵均具有线性密度制约的捕食动力系统。应用上下解方法得到了解的存在唯一性及解的渐近行为,且给出其存在的充分条件。 | 查淑玲 | 2011 | 科学技术与工程2011，11，8： | 0 |
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