共查询到20条相似文献,搜索用时 218 毫秒
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运用Krasnosel’skii不动点理论研究了一类含参泛函微分方程半正问题正周期解的存在性.获得了当参数充分小时正周期解的存在性结果以及半正问题正周期解存在的充分条件.丰富了一阶泛函微分方程解的存在性理论. 相似文献
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考虑周期单种群模型 dxdt=xg( t,x)± p( t,x)的正周解及其稳定性 .证明了在一定条件下 ,系统存在全局吸引的正周期解 .给出了系统存在两个正周期解的充分条件 ,同时也给出了种群灭绝的条件 .这些结果用于 Logistic模型和 Odum模型 ,得到了被开发的周期 Logistic模型存在全局吸引的正周期解 ;被开发了的周期 Odum模型只存在两个正周期解 ,其中之一吸引初值大于一个定数的所有解 ,另一个周期解则是种群灭绝的分界线 相似文献
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利用重合度理论中的延拓定理,研究了一类具有Beddington-DeAngelis功能反应的空气污染周期动力学模型的正周期解的存在性,得到了该模型存在正周期解的充分条件. 相似文献
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考虑周期单种群模型dx/dt=xg(t,x)&;#177;p(t,x)的正周解及其稳定性。证明了在一定条件下,系统存在全局吸引的正周期解。给出了系统存在两个正周期解的充分条件,同时也给出了种群灭绝的条件。这些结果用于Logistic模型和Odum模型,得到了被开发的周期Logistic模型存在全局吸引的正周期解;被开发的周期Odum模型存在两个正周期解,其中之一吸引初值大于一个定数的所有解,另一个周期解则是种群灭绝的分界线。 相似文献
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姚志健 《数学的实践与认识》2010,40(6)
运用Leray-Schauder不动点定理研究一类脉冲泛函微分方程的正周期解的存在性,获得了存在正周期解的充分条件,改进了已知文献中的结果. 相似文献
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利用Schauder不动点定理讨论Lotka-Volterra型系统的正周期解存在性,得到了正周期解存在的充分条件.推广并改进了已有的结果. 相似文献
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讨论了一类Chemostat捕食模型在一定条件下正周期解的存在性问题.运用周期抛物型算子理论、Schauder估计和分歧理论得到了该模型正周期解存在的充分必要条件. 相似文献
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利用重合度连续定理,研究Ⅱ类攻能性反应Ho lling-T anner干扰系统正周期解的存在性,得到了该系统正周期解存在的充分条件. 相似文献
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AMSSubjectClassification34C27Thespatialelementinpopulationbiologyisimportanttounderstandthedynamicsofecologicalsystems.ThetheoreticalworksonthisproblemwerepioneeredbySkellamif]in1951andwerereviewedbyLevin[2]in1974.In12],Levinfirstestablishedthiskindofmode… 相似文献
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In this paper, it is studied that two species predator-prey Lotka-Volterra type dispersal system with delay and Holling type II response function, in which the prey species can disperse among n patches, while the density-independent predator species is confined to one of the patches and cannot disperse. Sufficient conditions of integrable form for the boundedness, permanence, extinction and the existence of positive periodic solution are established, respectively. 相似文献
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《Journal of Computational and Applied Mathematics》2005,180(1):33-49
In this paper, a nonlinear nonautonomous predator–prey model with diffusion and continuous distributed delay is studied, where all the parameters are time-dependent. The system, which is composed of two patches, has two species: the prey can diffuse between two patches, but the predator is confined to one patch. We first discuss the uniform persistence and global asymptotic stability of the model; after that, by constructing a suitable Lyapunov functional, some sufficient conditions for the existence of a unique almost periodic solution of the system are obtained. An example shows the feasibility of our main results. 相似文献
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Persistence and periodic orbits for two-species nonautonomous diffusion lotka-volterra models 总被引:12,自引:0,他引:12
This paper considers a competing system in which one of two species can diffuse between two patches, while the other is confined to one patch and cannot diffuse. It is proved that the system can be made persistent under some appropriate conditions even if the competitive patch is not persistent without diffusion. Further, if the system is a periodic system, it can have a strictly positive periodic orbit which is globally asymptotically stable under the appropriate conditions. 相似文献
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宋新宇 《数学物理学报(A辑)》1997,(Z1)
OneofthemostinterestingquestionsinmathematicalbiologyconcernsthesurvivalofspeciesillecologlcalmodeIs.InthispaPer,weconsiderallonaut0nomous8ystemc0mPosedoftwospeciesPredatox-Preywithdiffosion.1nfaCt,dffesion0ften0ccursinanecologicalenvir0nment.thatistosay,speciescandchsebetweenpatches.Levin[1]firstestablishedthiskindofmodelaboutanautonomousLotkaVolterrasystem,afterLevin,Kishdriot0[2]andTakeuchi[3jalsostudiedthiskind0fmodels-Butallthecoefficientsinthesystemtheystudiedareconstant's0itisrealls… 相似文献
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《Nonlinear Analysis: Real World Applications》2007,8(3):872-886
In this paper, we study a periodic predator–prey system with Holling type III functional response, in which the prey species can diffuse among two patches but the predator is confined in one patch. By using the continuation theorem of coincidence degree theory and Lyapunov functional, some sufficient conditions are obtained. 相似文献
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ChenFengde 《高校应用数学学报(英文版)》2004,19(4):359-366
A non-autonomous competing system is investigated in this paper,where the species x can diffuse between two patches of a heterogeneous environment with barriers between patches,but for species y,the diffusion does not involve a barrier between patches,further it is assumed that all the parameters are time dependent. It is shown that the system can be made persistent under some appropriate conditions. Moreover,sufficient conditions that guarantee the existence of a unique positive periodic orbit which is globally asymptotic stable are derived. 相似文献
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This paper studies an impulsive two species periodic predator–prey Lotka–Volterra type dispersal system with Holling type III functional response in a patchy environment, in which the prey species can disperse among n different patches, but the predator species is confined to one patch and cannot disperse. Conditions for the permanence and extinction of the predator–prey system, and for the existence of a unique globally stable periodic solution are established. Numerical examples are shown to verify the validity of our results. 相似文献