全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
-  2015 

一类生态模型的近似解析解 The Approximate Analytic Solution of a Class of Ecological Model

Keywords: 变分,动力学模型,拉格朗日乘子

Full-Text   Cite this paper   Add to My Lib

Abstract:

研究一类了生态种群动力学模型.利用一组泛函,选取拉格朗日乘子,用修正的变分方法,得到了相应模型的近似解.采用一个简便的方法求得非线性种群动力学模型的精度较高的近似解

References

[1]  Tian C R.Zhu P.Existence and asymptotic behavior of solutions for quasilinear parabolic systems[J].Acta Appl Math,2012,121(1):157-173.
[2]  de Ruiter P C,Neutel,A M,Moorre,J C.Energetics,patterns of interaction strengths and stability in real ecosystems[J].Science,1995,269(5228):1257-1260.
[3]  May R M.Will a large complex system be stable[J].Nature,1972,238(5364):413-414.
[4]  Deng S B,Mixed interior and boundary bubbling solutions for Neumann problem in R2[J].J Differ Equations,2012,253(2):727-763.
[5]  Mo J Q.Homotopiv mapping solving method for gain fluency of a laser pulse amplifier[J].Science in China:Ser G,2009,52(7):1007-1010.
[6]  Mo J Q,Lin W T,Lin Y H.Asymptotic solution for the El Nino time delay sea-air oscillator model[J].Chinese Physics B,2011,20(7):070205.
[7]  Mo J Q,Lin W T.Generalized variation iteration solution of an atmosphere-ocean oscillator model for global climateplexity[J].Journal Systems Science&Complexity,2011,24(2):271-276.
[8]  Mo J Q.Singular perturbation for a class of nonlinear reaction diffusion systems[J].Science in China:Ser A,1989,32(11):1306-1315.
[9]  莫嘉琪.反应扩散方程奇摄动Robin问题的渐近解[J].应用数学学报,2010,33(3):566-573.Mo J Q.Generalized solution of singularly perturbed Robin problemd for reaction diffusion equations[J].Acta Math Appl Sinica,2010,33(3):566-573(Ch).
[10]  Mo J Q.The singularly perturbed generalized Dirichlet problems for semilinear elliptic equation of higher order[J].Adv in Math,2006,35(1):75-81.
[11]  何吉欢.工程和科学计算中的近似非线性分析方法[M].郑州:河南科学技术出版社,2002.He J H.Approximate Nonlinear Analytical Methods in Engineering and Sciences[M].Zhengzhou:Henan Science and Technology Press,2002(Ch).
[12]  王顺庆,王万雄,徐海根.数学生态学稳定性理论与方法[M].北京:科学出版社,2004.Wang S Q,Wang W X,Xu H G.Stability Theory and Method for mathematics Ecology[M].Beijing:Science Press,2004(Ch).
[13]  Barbu L,Morosanu G.Singularly Perturbed Boundary-Value Problems[M].Basel:Birkhauserm Verlag AG,2007
[14]  de Jager E M,Jiang F R.The Theory of Singular Perturbation[M].Amsterdam:North-Holland Publishing Co,1996.
[15]  Suzuki R.Asymptotic behavior of solutions of a semilinear heat equation with localized reaction[J].Adv Differ Equations,2010,159(3-4):283-314.
[16]  D’Aprile T,Pistoia A.On the existence of some new positive interior spike solutions to a semilinear Nuumann problem[J].J Differ Equations,2010,248(3):556-573.
[17]  Mo J Q.A singularly perturbed nonlinear boundary value problem[J].J Math Anal Appl,1993,178(1):289-293.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133