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捕食者种群具有密度制约的一类厌食系统 被引量:6
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作者 刘美娟 沈伯骞 《纯粹数学与应用数学》 CSCD 1999年第2期7-12,6,共7页
讨论了捕食种群具有密度制约的一类厌食系统.给出了此系统当存在正平衡点时的轨线的拓扑结构,并证明了此系统能且至多能存在一阶细焦点.
关键词 厌食系统 密度制约 拓扑结构 定性分析 正平衡点 捕食者种群
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捕食者种群具有常数收获率的Volterra模型的定性分析
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作者 涂志寿 戴国仁 《四川大学学报(自然科学版)》 CAS CSCD 1995年第6期746-747,共2页
捕食者种群具有常数收获率的Volterra模型的定性分析涂志寿,戴国仁(数学系)对捕食者种群具有常数收获率的Volterra系统作了定性分析,(1)中a_(ij)>0,i=1,2,j=0,1,2.令a=a_(11)a... 捕食者种群具有常数收获率的Volterra模型的定性分析涂志寿,戴国仁(数学系)对捕食者种群具有常数收获率的Volterra系统作了定性分析,(1)中a_(ij)>0,i=1,2,j=0,1,2.令a=a_(11)a_(22)+a_(12)a_(21... 展开更多
关键词 捕食者种群 Volterra模型 常数收获率
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具有功能性反应函数为的捕食系统 被引量:2
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作者 司成斌 《工科数学》 2002年第1期43-47,共5页
本文给出了具有功能性反应函数为 x的捕食系统x=γx-δ x y-αx2 ,y=-sy+β x y-εy2的全局相图 .得到了两种群持续共存和捕食者种群必将灭绝的条件 .讨论了此系统唯一正平衡点的 Hopf分支 ,并证明了该点可以成为二阶不稳定细焦点 ... 本文给出了具有功能性反应函数为 x的捕食系统x=γx-δ x y-αx2 ,y=-sy+β x y-εy2的全局相图 .得到了两种群持续共存和捕食者种群必将灭绝的条件 .讨论了此系统唯一正平衡点的 Hopf分支 ,并证明了该点可以成为二阶不稳定细焦点 ,从而得到该系统有出现至少三个极限环的可能 . 展开更多
关键词 功能性反应函数 捕食系统 极限环 捕食者种群
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一类食饵具有避难所的三种群模型的持续生存和周期解 被引量:1
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作者 雷雪芹 孙卫 《西安工业学院学报》 2002年第2期164-168,共5页
讨论了一类两个捕食者种群和一个共同的食饵种群构成的生态系统 .系统中食饵种群有自己的避难所 ,它在避难所内外可以迁徙 ;在一定条件下系统是持续生存的 ;若系统是一个周期系统 ,且在合适的条件下 ,则存在唯一的。
关键词 避难所 不变集 最终有界区域 持续生存 周期解 全局渐近稳定 生态系统 数学生态学 食饵种群 捕食者种群
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一类具有阶段结构的时滞生态流行病模型周期解 被引量:2
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作者 张子振 储煜桂 《南京理工大学学报》 EI CAS CSCD 北大核心 2018年第6期756-762,共7页
为了控制疾病的传播,研究一类食饵种群具有阶段结构、捕食者种群具有疾病的时滞捕食系统模型。以捕食者种群疾病的潜伏期时滞为分岔参数,通过分析相应特征方程根的分布情况,讨论了模型正平衡点局部渐近稳定和存在Hopf分岔的充分条件。... 为了控制疾病的传播,研究一类食饵种群具有阶段结构、捕食者种群具有疾病的时滞捕食系统模型。以捕食者种群疾病的潜伏期时滞为分岔参数,通过分析相应特征方程根的分布情况,讨论了模型正平衡点局部渐近稳定和存在Hopf分岔的充分条件。利用规范型理论和中心流形定理推导出确定Hopf分岔方向和分岔周期解稳定性的显式公式。利用仿真示例验证了结果的正确性。 展开更多
关键词 阶段结构 时滞 生态流行病模型 食饵种群 捕食者种群 规范型理论 中心流形定理
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Modified Predator-Prey Model for Mealybug Population with Biological Control
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作者 Jairaj Promrak Graeme Wake Chontita Rattanakul 《Journal of Mathematics and System Science》 2016年第5期180-193,共14页
Mealybugs are a major pest for many crops (such as the vegetable Cassava, in Thailand). An environmentally-friendly bio-control method is implemented using an introduced predator (green lacewings) of the mealybugs... Mealybugs are a major pest for many crops (such as the vegetable Cassava, in Thailand). An environmentally-friendly bio-control method is implemented using an introduced predator (green lacewings) of the mealybugs to mitigate plant damage. This is analyzed so as to devise and determine an optimal strategy for control of the mealybug population. A predator-prey model has been proposed and analyzed to study the effect of the biological control of the spread of the mealybugs in the plant field. The behaviour of the system in terms of stability, phase space and bifurcation diagrams are considered. The results obtained from different numbers of predators being released are compared. In particular we obtain thresholds of introduced-predator level above which the prey is driven to extinction. Future models will include age-structured multi-compartments for both the prey and predator populations. 展开更多
关键词 Predator-prey model MEALYBUG biological control
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Modeling Biodiversity Benefits and External Costs from a Keystone Predator Reintroduction Policy
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作者 Yohan LEE Jane L. HARRISON +1 位作者 Cristina EISENBERG Byungdoo LEE 《Journal of Mountain Science》 SCIE CSCD 2012年第3期385-394,共10页
In this paper, an economic model was constructed to determine the optimal wolf population and distribution across the Northern Rocky Mountains. Both ecological and economic concepts were incorporated in an implicitly ... In this paper, an economic model was constructed to determine the optimal wolf population and distribution across the Northern Rocky Mountains. Both ecological and economic concepts were incorporated in an implicitly spatial social welfare maximization problem. This interdisciplinary model relies on multiple data sources, including current wolf population and distribution information, opportunity cost to local landowners, and contingent valuation studies to determine willingness-to-pay for wolves. Economic models tend to externalize ecological concerns and ecological models often omit the complex human dimensions of conservation policy. Accordingly, this model can serve as a guide for integrating best practices from both fields. The model presented here is sufficiently general to apply to wolves in other ecosystems and to other highly interacting species such as beavers and bison. The Northern Rocky Mountain wolf was used as an example of how this economic model works, but this model can be applied far more broadly. 展开更多
关键词 WOLF ECONOMICS BIODIVERSITY Ecological economics Opportunity cost Conservationpolicy Endangered species
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Predator-induced phenotypic plasticity of shape and behavior: parallel and unique patterns across sexes and species 被引量:1
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作者 Heather A. ARNETT Michael T. KINNISON 《Current Zoology》 SCIE CAS CSCD 2017年第4期369-378,共10页
Phenotypic plasticity is often an adaptation of organisms to cope with temporally or spatially heter- ogenous landscapes. Like other adaptations, one would predict that different species, populations, or sexes might t... Phenotypic plasticity is often an adaptation of organisms to cope with temporally or spatially heter- ogenous landscapes. Like other adaptations, one would predict that different species, populations, or sexes might thus show some degree of parallel evolution of plasticity, in the form of parallel reaction norms, when exposed to analogous environmental gradients. Indeed, one might even ex- pect parallelism of plasticity to repeatedly evolve in multiple traits responding to the same gradi- ent, resulting in integrated parallelism of plasticity. In this study, we experimentally tested for paral- lel patterns of predator-mediated plasticity of size, shape, and behavior of 2 species and sexes of mosquitofish. Examination of behavioral trials indicated that the 2 species showed unique patterns of behavioral plasticity, whereas the 2 sexes in each species showed parallel responses. Fish shape showed parallel patterns of plasticity for both sexes and species, albeit males showed evidence of unique plasticity related to reproductive anatomy. Moreover, patterns of shape plasticity due to predator exposure were broadly parallel to what has been depicted for predator-mediated popula- tion divergence in other studies (slender bodies, expanded caudal regions, ventrally located eyes, and reduced male gonopodia). We did not find evidence of phenotypic plasticity in fish size for ei- ther species or sex. Hence, our findings support broadly integrated parallelism of plasticity for sexes within species and less integrated parallelism for species. We interpret these findings with respect to their potential broader implications for the interacting roles of adaptation and constraint in the evolutionary origins of parallelism of plasticity in general. 展开更多
关键词 BOLDNESS common garden geometric morphometrics reaction norm sexual dimorphism size at maturity.
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A test of the coupling of predator defense morphology and behavior variation in two threespine stickleback populations 被引量:5
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《Current Zoology》 SCIE CAS CSCD 2012年第1期53-65,共13页
Among-population differences in morphology and behaviors such as boldness have been shown to co-vary with eco- logical conditions, including predation regime. However, between- and within-population covariation of pre... Among-population differences in morphology and behaviors such as boldness have been shown to co-vary with eco- logical conditions, including predation regime. However, between- and within-population covariation of predator defense mor- phology with variation in behaviors relevant to ecology and evolution (boldness, exploration, activity, sociability and aggressive- ness, often defined as personality traits when they are consistent across time and contexts) have never been quantified together in a single study in juvenile fish from populations found in contrasting environments. We measured predator defense morphology differences between adults from two freshwater populations of threespine sticklebacks with different ecological conditions. We then quantified five behaviors in juveniles from both populations raised in a common environment. Wild-caught adults showed significant differences in predator defense morphology. One population had significantly lower lateral plate number, shorter dorsal spine, pelvic spine and pelvic girdle. Furthermore, 61% of individuals from that population showed an absence of pelvic spine and girdle. At the population level, we found that differences in defense morphology in adults between the two lakes were coupled with differences in behaviors in juveniles raised in a common environment. Levels of activity, aggressiveness and boldness were higher in juveniles from the population lacking predator defense structures. At the individual level, anti-predator morphology of adult females could not predict their offspring's behavior, but juvenile coloration predicted individual boldness in a popula- tion-specific manner. Our results suggest that ecological conditions, as reflected in adult predator defense morphology, also affect juvenile behavior in threespine sticklebacks, resulting in trait co-specialization, and that there is a genetic or epigenetic compo- nent to these behavioral differences [Current Zoology 58 (1): 53-65, 2012]. 展开更多
关键词 Behaviors PERSONALITY Predator defense morphology COLORATION JUVENILE Threespine stickleback Common rear- ing environment
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Dynamics of one-prey two-predator system with square root functional response and time lag
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作者 O. P. Misra Poonam Sinha Chhatrapal Singh 《International Journal of Biomathematics》 2015年第3期23-44,共22页
Animals grouping together is one of the most interesting phenomena in population dynamics and different functional responses as a result of prey-predator forming groups have been considered by many authors in their mo... Animals grouping together is one of the most interesting phenomena in population dynamics and different functional responses as a result of prey-predator forming groups have been considered by many authors in their models. In the present paper we have considered a model for one prey and two competing predator populations with time lag and square root functional response on account of herd formation by prey. It is shown that due to the inclusion of another competing predator, the underlying system without delay becomes more stable and limit cycles do not occur naturally. However, after considering the effect of time lag in the basic system, limit cycles appear in the case of all equilibrium points when delay time crosses some critical value. From the numerical simulation, it is observed that the length of delay is minimum when only prey population survives and it is maximum when all the populations coexist. 展开更多
关键词 Stability square root functional response Hopf bifurcation time delay.
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