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Differential Equations and Dynamical Systems最新文献

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Positive Solutions and Exponential Stability of Nonlinear Time-Delay Systems in the Model of BAM-Cohen-Grossberg Neural Networks BAM-Cohen-Grossberg神经网络模型非线性时滞系统的正解和指数稳定性
IF 1 Q3 MATHEMATICS, APPLIED
Differential Equations and Dynamical Systems
Pub Date : 2022-05-17 DOI: 10.1007/s12591-022-00605-y
Le Thi Kim Dzung, Le Van Hien
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引用次数: 3
Almost Oscillation of a Third-Order Emden-Fowler Equation on Time Scales 时间尺度上三阶Emden-Fowler方程的概振荡
IF 1 Q3 MATHEMATICS, APPLIED
Differential Equations and Dynamical Systems
Pub Date : 2022-05-14 DOI: 10.1007/s12591-022-00603-0
Özkan Öztürk, R. Higgins
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引用次数: 0
On Fractional Semilinear Nonlocal Initial Value Problem with State Dependent Delay 具有状态相关延迟的分数阶半线性非局部初值问题
IF 1 Q3 MATHEMATICS, APPLIED
Differential Equations and Dynamical Systems
Pub Date : 2022-05-13 DOI: 10.1007/s12591-022-00600-3
M. Alam, Shruti A. Dubey
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引用次数: 0
Asymptotic Stability of Singular Traveling Waves to Degenerate Advection-Diffusion Equations Under Small Perturbation 小扰动下退化平流扩散方程奇异行波的渐近稳定性
IF 1 Q3 MATHEMATICS, APPLIED
Differential Equations and Dynamical Systems
Pub Date : 2022-05-09 DOI: 10.1007/s12591-022-00602-1
Mohammad Ghani
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引用次数: 1
Impact of Social Media Advertisements on the Dynamics of Online Shopping: A Modeling Study 社交媒体广告对网络购物动态的影响：一项模型研究
IF 1 Q3 MATHEMATICS, APPLIED
Differential Equations and Dynamical Systems
Pub Date : 2022-04-04 DOI: 10.1007/s12591-022-00598-8
A. Misra, Kanishka Goyal, J. Maurya
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引用次数: 2
Phase Portraits of a Class of Cubic Systems with an Ellipse and a Straight Line as Invariant Algebraic Curves 一类以椭圆和直线为不变代数曲线的三次系统的相画像
IF 1 Q3 MATHEMATICS, APPLIED
Differential Equations and Dynamical Systems
Pub Date : 2022-03-19 DOI: 10.1007/s12591-022-00597-9
A. Bakhshalizadeh, J. Llibre
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引用次数: 0
The Monotonicity of the Ratio of Two Line Integrals in Piecewise Smooth Differential Systems 分段光滑微分系统中两条线积分之比的单调性
IF 1 Q3 MATHEMATICS, APPLIED
Differential Equations and Dynamical Systems
Pub Date : 2022-03-16 DOI: 10.1007/s12591-022-00599-7
A. Bakhshalizadeh, R. Asheghi
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引用次数: 0
Analytic Solution of the Fractional Order Non-linear Schrödinger Equation and the Fractional Order Klein Gordon Equation 分数阶非线性Schrödinger方程和分数阶Klein-Gordon方程的解析解
IF 1 Q3 MATHEMATICS, APPLIED
Differential Equations and Dynamical Systems
Pub Date : 2022-03-08 DOI: 10.1007/s12591-022-00596-w
Md. Ramjan Ali, U. Ghosh, Sudeep Sarkar, S. Das
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引用次数: 2
A Study on the Application of Optimal Control in a Bioeconomic System 最优控制在生物经济系统中的应用研究
IF 1 Q3 MATHEMATICS, APPLIED
Differential Equations and Dynamical Systems
Pub Date : 2022-03-04 DOI: 10.1007/s12591-022-00589-9
M. Hasan, M. S. Uddin, M. Biswas
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引用次数: 0
Pattern Formation in Epidemic Model with Media Coverage. 媒介覆盖流行病模型中的模式形成
IF 1 Q3 MATHEMATICS, APPLIED
Differential Equations and Dynamical Systems
Pub Date : 2022-02-19 DOI: 10.1007/s12591-022-00595-x
Ronobir Chandra Sarker, Saroj Kumar Sahani

In this article, a spatial epidemic model with media coverage is studied. By both mathematical analysis and numerical simulation, we found that there are some typical dynamics of population density such as the formation of the hole, stripe, spot, coexistence of hole and stripe or spot and stripe. The obtained results exhibit that parameters describing media coverage have a significant influence on the spatial pattern of the disease. More specifically, the sequential change in behaviour of the spatial pattern is observed as the parameter that accounts for media coverage increases. These changes analogous to the effect due to the rise in the basic reproduction number. The results presented in this article thus can be applied to any particular disease with some modification to study the effects of media coverage on disease dynamics. The model is although simple but the idea can be well extended to other complex problems.

本文研究了媒体报道的空间流行病模型。通过数学分析和数值模拟，我们发现种群密度存在一些典型的动态变化，如形成孔洞、条纹、斑点、孔洞与条纹共存或斑点与条纹共存等。所得结果表明，描述媒体覆盖率的参数对疾病的空间模式有重要影响。更具体地说，随着媒体覆盖率参数的增加，空间模式的行为会发生连续变化。这些变化类似于基本繁殖数增加所产生的影响。因此，本文介绍的结果可以在稍作修改后应用于任何特定疾病，以研究媒体报道对疾病动态的影响。该模型虽然简单，但其思路可以很好地扩展到其他复杂问题。
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引用次数: 0
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