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带存放率的周期竞争扩散系统的稳定共存 被引量:1
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作者 李传贞 《生物数学学报》 CSCD 北大核心 2008年第3期463-472,共10页
应用上、下解方法和抛物型方程的极值原理,研究了带存放率的周期竞争系统u_t-D_1△u=u(a-bu-cv)+h,v_t-D2△v=v(d-eu-fv)+k在齐次Neumann边界条件下解的渐近性态,得到了该系统的全局渐近性.
关键词 周期竞争扩散系统 稳定共存 上、下解 抛物型方程的最大值原理
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带有交叉免疫和完全接种的两菌株传染病模型分析(英文)
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作者 李连兵 蔡礼明 李兆强 《应用数学》 CSCD 北大核心 2013年第4期741-749,共9页
建立一类非线性微分方程系统来描述带有交叉免疫和完全接种两菌株传染病动力学行为.我们得到每种菌株的基本再生数R1(ψ),R2(ψ)和侵入再生数R12,R21表达式,讨论模型中菌株的共存和稳定性.通过数学分析和数值模拟,证明了交叉免疫和完全... 建立一类非线性微分方程系统来描述带有交叉免疫和完全接种两菌株传染病动力学行为.我们得到每种菌株的基本再生数R1(ψ),R2(ψ)和侵入再生数R12,R21表达式,讨论模型中菌株的共存和稳定性.通过数学分析和数值模拟,证明了交叉免疫和完全接种在疾病传播过程中发挥着重要作用. 展开更多
关键词 两菌株模型 再生数 交叉免疫 完全接种 稳定共存
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双同态病原体的进化动力学模型研究
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作者 原博 《生物化工》 2020年第5期52-56,64,共6页
基于适应动力学等方法去研究病原体的毒性进化,可以为传染病治疗方法的设计和防控策略的制定提供定量参考和有效的建议。从典型的传播动力学模型出发,利用动力系统理论和进化动力学理论等方法研究了双同态病原体毒性特征的进化机制,得... 基于适应动力学等方法去研究病原体的毒性进化,可以为传染病治疗方法的设计和防控策略的制定提供定量参考和有效的建议。从典型的传播动力学模型出发,利用动力系统理论和进化动力学理论等方法研究了双同态病原体毒性特征的进化机制,得到其进化稳定和收敛稳定的条件,并通过数值模拟验证了在具体的权衡函数条件下,双同态病原体进化稳定共存的进化现象。 展开更多
关键词 适应动力学 临界函数分析法 进化稳定共存 进化动力学模型
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Changes in niche differentiation and environmental filtering over a hydric stress gradient
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作者 Alejandra Martínez-Blancas Carlos Martorell 《Journal of Plant Ecology》 SCIE CSCD 2020年第2期185-194,共10页
Aims Diversity in communities is determined by species’ability to coexist with each other and to overcome environmental stress that may act as an environmental filter.Niche differentiation(ND)results in stronger intr... Aims Diversity in communities is determined by species’ability to coexist with each other and to overcome environmental stress that may act as an environmental filter.Niche differentiation(ND)results in stronger intra-than interspecific competition and promotes coexistence.Because stress affects interactions,the strength of ND may change along stress gradients.A greater diversity of plant growth forms has been observed in stressful habitats,such as deserts and alpine regions,suggesting greater ND when stress is strong.We tested the hypothesis that niche differences and environmental filters become stronger with stress.Methods In a semiarid grassland in southern Mexico,we sowed six annual species in the field along a hydric stress gradient.Plants were grown alone(without interactions),with conspecific neighbors(intraspecific interactions)or with heterospecific neighbors(interspecific interactions).We analyzed how the ratio of intra-to interspecific competition changed along the gradient to assess how water availability determines the strength of ND.We also determined if hydric stress represented an environmental filter.Important Findings We observed stronger intra-than interspecific competition,especially where hydric stress was greater.Thus,we found ND in at least some portion of the gradient for all but one species.Some species were hindered by stress,but others were favored by it perhaps because it eliminates soil pathogens.Although strong ND was slightly more frequent with stress,our species sample was small and there were exceptions to the general pattern,so further research is needed to establish if this is a widespread phenomenon in nature. 展开更多
关键词 hydrological niche species interactions environmental constraints species coexistence stabilizing mechanisms equalizing mechanisms
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