共查询到20条相似文献，搜索用时 0 毫秒
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Ye Zhao 《应用数学学报(英文版)》2010,26(4):643-652
This paper is concerned with some quasilinear cross-diffusion systems which model competing species in mathematical ecology.By detailed spectral analysis,each traveling wave solution with non-critical speed is proved to be locally exponentially stable to perturbations in some exponentially weighted spaces. 相似文献
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探讨了Holling功能性反应的捕食者-食饵征税模型,修改了更合理的捕获函数.讨论了该系统生物经济平衡点的性态,正平衡点的局部渐近稳定性和全局渐近稳定性条件,并利用Pontrjagin最大值原理得到了最优税收策略.为可再生资源的合理开发利用提供了理论依据. 相似文献
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ＦＥＥＤＢＡＣＫＣＯＮＴＲＯＬＯＦＳＩＮＧＬＥ－ＬＩＮＫＦＬＥＸＩＢＬＥＡＲＭＳＦＥＮＧＤＥＸＩＮＧ（冯德兴）；ＺＨＡＮＧＷＥＩＴＡＯ（张维韬）（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ｔｈｅＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅ... 相似文献
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The interest in the use of quasimodes, or almost frequencies and almost eigenfunctions, to describe asymptotics for low‐frequency and high‐frequency vibrations in certain singularly perturbed spectral problems, which depend on a small parameter ε, has been recently highlighted in many papers. In this paper we deal with the low frequencies for a Steklov‐type eigenvalue homogenization problem: we consider harmonic functions in a bounded domain of ?2, and strongly alternating boundary conditions of the Dirichlet and Steklov type on a part of the boundary. The spectral parameter appears in the boundary condition on small segments Tε of size O(ε) periodically distributed along the boundary; ε also measures the periodicity of the structure. We consider associated second‐order evolution problems on spaces of traces that depend on ε, and we provide estimates for the time t in which standing waves, constructed from quasimodes, approach their solutions uε(t) as ε→0. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
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G. Yu S. H. Jacobson N. Kiyavash 《Stochastics An International Journal of Probability and Stochastic Processes》2020,92(2):223-264
ABSTRACTWe provide an asymptotic analysis of multi-objective sequential stochastic assignment problems (MOSSAP). In MOSSAP, a fixed number of tasks arrive sequentially, with an n-dimensional value vector revealed upon arrival. Each task is assigned to one of a group of known workers immediately upon arrival, with the reward given by an n-dimensional product-form vector. The objective is to maximize each component of the expected reward vector. We provide expressions for the asymptotic expected reward per task for each component of the reward vector and compare the convergence rates for three classes of Pareto optimal policies. 相似文献
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以棉田生态系统能量流动分析为基础,建立了作物害虫天敌微生物的种群动力学模型,对作物害虫天敌微生物系统进行了初步的研究.对系统的能量流动使用微分方程进行了模拟,并对系统正平衡点的存在性及局部渐近稳定性给出了相关条件.最后使用MATLAB软件对模型进行了动态模拟,对正平衡点的存在性条件和稳定性进行了验证. 相似文献
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S. S. Motsa P. Sibanda S. Shateyi 《Mathematical Methods in the Applied Sciences》2011,34(11):1406-1413
We propose a new quasi‐linearization technique for solving systems of nonlinear equations. The method finds recursive formulae for higher order deformation equations which are then solved using the Chebyshev spectral collocation method. The implementation of the method is demonstrated by solving the coupled nonlinear equations that govern the injection of a non‐Newtonian fluid through the sides of a vertical channel. The equations are also solved numerically and comparison made with the results in the literature. The linearization method is found to be computationally efficient and accurate with a rapidly convergent series solution. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
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Sami Ullah Khan;Mohamed Altanji;Hassan A. Jari;Abdullah A. Faqihi; 《Mathematical Methods in the Applied Sciences》2024,47(18):13601-13620
The Grey-Scott model is a prominent reaction–diffusion system that has sustain consequential recent research about patterning creation in the reaction–diffusion systems. The present research work, explore the stability analysis of a proposed stochastic Grey-Scott model, which recommend the randomness or unpredictability into the complex system. To take into account the different variations in reactant concentrations profiles, the stochasticity is modeled using the additive white noise terms. To investigate the stability characteristics of the stochastic Grey-Scott model, we use the spectral collocation technique. Such mathematical perspective sheds light on the different system's behavior in the addition of white noise, and also it may have significance for comprehending processes in the real world that are controlled by comparable dynamics. 相似文献
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The present work is devoted to the construction of an asymptotic expansion for the eigenvalues of a Toeplitz matrix as goes to infinity, with a continuous and real-valued symbol having a power singularity of degree with , at one point. The resulting matrix is dense and its entries decrease slowly to zero when moving away from the main diagonal, we apply the so called simple-loop (SL) method for constructing and justifying a uniform asymptotic expansion for all the eigenvalues. Note however, that the considered symbol does not fully satisfy the conditions imposed in previous works, but only in a small neighborhood of the singularity point. In the present work: (i) We construct and justify the asymptotic formulas of the SL method for the eigenvalues with , where the eigenvalues are arranged in nondecreasing order and is a sufficiently small fixed number. (ii) We show, with the help of numerical calculations, that the obtained formulas give good approximations in the case . (iii) We numerically show that the main term of the asymptotics for eigenvalues with , formally obtained from the formulas of the SL method, coincides with the main term of the asymptotics constructed and justified in the classical works of Widom and Parter. 相似文献
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本讨论非线性变延迟微分方程隐式Euler法的渐近稳定性。我们证明，在方程真解渐近稳定的条件下，隐式Euler法也是渐近稳定的。 相似文献
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A linear and second order numerical scheme is proposed and analyzed fora droplet thin film coarsening model, with a singular Leonard-Jones energy potential involved. This numerical scheme with unconditional energy stability is based onthe backward differentiation formular (BDF) method in time derivation combiningwith the stabilized scalar auxiliary variable approach in time and the Fourier spectral method in space. A second order accurate artificial regularization term, in theform of $S∆(phi^{n+1}− 2phi^n + phi^{n−1}),$ is added in the numerical scheme to make betterstability of the numerical scheme. Moreover, we present the detail proof for unconditional energy stability property of the numerical scheme, without any restrictionfor the time step size. In addition, an $mathcal{O}(∆t^2+h^m)$ rate convergence estimate in the $ℓ^∞(0, T ; ℓ^2)$ norm are derived in details with the help of a priori assumption for theerror at the previous time step. Some numerical simulation results are presented todemonstrate the efficiency and accuracy of the second-order numerical scheme. 相似文献
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The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations 总被引：2，自引：0，他引：2
The asymptotic stability of theoretical and numerical solutions for neutral multidelay-differential equations (NMDEs) is dealt
with. A sufficient condition on the asymptotic stability of theoretical solutions for NMDEs is obtained. On the basis of this
condition, it is proved that A-stability of the multistep Runge-Kutta methods for ODEs is equivalent to NGPk-stability of the induced methods for NMDEs.
Project supported by the National Natural Science Foundation of China (Grant No. 19771034). 相似文献
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梁振动边界反馈的最优反馈增益的数值解 总被引：2，自引：0，他引：2
本用Legendre谱方法估计一端固定,一端加弯矩耗散线性反馈的梁振动的闭环系统使能量最快衰减的最优反馈增益,我们给出了数值产生的图形结果,通过比较发现另一种非耗散的线性反馈在最优反馈增益下比相应的耗散线性反馈有更好的衰减率。 相似文献
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M. Ghoreishi A. I. B. MD. Ismail A. K. Alomari 《Mathematical Methods in the Applied Sciences》2011,34(15):1833-1842
This paper presents general framework for solving the nth‐order integro‐differential equation using homotopy analysis method (HAM) and optimal homotopy asymptotic method (OHAM). OHAM is parameter free and can provide better accuracy over the HAM at the same order of approximation. Furthermore, in OHAM the convergence region can be easily adjusted and controlled. Comparison, via two examples, between our solution using HAM and OHAM and the exact solution shows that the HAM and the OHAM are effective and accurate in solving the nth‐order integro‐differential equation. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
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Xinyu SONG Lansun CHEN Department of Mathematics Xinyang Teachers College Henan China Institute of Mathematics Academy of Mathematics System Sciences Chinese Academy of Sciences Beijing China 《Communications in Nonlinear Science & Numerical Simulation》2001,6(2):81-87
Introduction' There have recently appeared in the literature several mathematical models of stagestructured population growth, i. e., models which take into account the faCt that individuals in a population may belong to one of two classes, the immatures and the matureslllZI.Cannibalism has been observed in a great variety of species, including a number of fish species.Cannibalism models of various types have also been investigatedI3\"l. In these models, the ageto maturity is represented by a… 相似文献
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１ＩｎｔｒｏｄｕｃｔｉｏｎＣｏｎｓｉｄｅｒｔｈｅＢｕｒｇｅｒｓＦｉｓｈｅｒｅｑｕａｔｉｏｎｕｔ＝ｕｘｘ＋αｕｕｘ＋γｕ（１－ｕ），（１．１）ｗｈｉｃｈａｒｉｓｅｓｉｎｔｈｅｓｔｕｄｙｏｆｍａｎｙｐｈｙｓｉｃａｌｐｒｏｂｌｅｍｓ．Ａｔｒａｖｅｌｉｎｇ... 相似文献