Qualitative Theory of Dynamical Systems最新文献_第2页

Dynamics Behaviours of Kink Solitons in Conformable Kolmogorov–Petrovskii–Piskunov Equation 共形科尔莫戈罗夫-彼得罗夫斯基-皮斯库诺夫方程中 Kink Solitons 的动力学行为

IF 1.4 3区数学

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-27 DOI: 10.1007/s12346-024-01119-4

Ikram Ullah, Kamal Shah, Thabet Abdeljawad, Mohammad Mahtab Alam, Ahmed S. Hendy, Shoaib Barak

{"title":"Dynamics Behaviours of Kink Solitons in Conformable Kolmogorov–Petrovskii–Piskunov Equation","authors":"Ikram Ullah, Kamal Shah, Thabet Abdeljawad, Mohammad Mahtab Alam, Ahmed S. Hendy, Shoaib Barak","doi":"10.1007/s12346-024-01119-4","DOIUrl":"https://doi.org/10.1007/s12346-024-01119-4","url":null,"abstract":"The current study introduces the generalised New Extended Direct Algebraic Method (gNEDAM) for producing and examining propagation of kink soliton solutions within the framework of the Conformable Kolmogorov–Petrovskii–Piskunov Equation (CKPPE), which entails conformable fractional derivatives into account. The primary justification around employing conformable derivatives in this study is their special ability to comply with the chain rule, allowing for in the solution of aimed nonlinear model. The CKPPE is a crucial model for a number of disciplines, such as mathematical biology, reaction-diffusion mechanisms, and population increase. CKPPE is transformed into a Nonlinear Ordinary Differential Equation by the proposed gNEDAM, and many kink soliton solutions are found by applying the series form solution. These kink soliton solutions shed light on propagation mechanisms within the framework of the CKPPE model. Furthermore, our research offers multiple graphical depictions that facilitate the examination and analysis of the propagation patterns of the identified kink soliton solutions. Through the integration of mathematical biology and reaction-diffusion principles, our research broadens our comprehension of intricate occurrences in various academic domains.","PeriodicalId":48886,"journal":{"name":"Qualitative Theory of Dynamical Systems","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142222035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

N-Soliton and Other Analytic Solutions for a ( $$3 + 1$$ )-Dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff Equation with the Time-Dependent Coefficients for the Shallow Water Waves 浅层水波的 ( $$3 + 1$$ )维 Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff 方程与时间相关系数的 N-索利顿和其他解析解

IF 1.4 3区数学

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-23 DOI: 10.1007/s12346-024-01125-6

Hong-Wen Shan, Bo Tian, Chong-Dong Cheng, Xiao-Tian Gao, Yu-Qi Chen, Hao-Dong Liu

引用次数: 0

The Integrability and Linearizability of Cubic $$Z_2$$ -Equivariant Systems with Two 1: $$-q$$ Resonant Saddle Points 具有两个 1: $$-q$$ 共振鞍点的立方 $$Z_2$$ 参数系统的可积分性与线性化

IF 1.4 3区数学

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-22 DOI: 10.1007/s12346-024-01128-3

Xiongkun Wang, Changjian Liu

引用次数: 0

Stochastic Persistence, Extinction and Stationary Distribution in HTLV-I Infection Model with CTL Immune Response 带有 CTL 免疫反应的 HTLV-I 感染模型中的随机持续、消亡和静态分布

IF 1.4 3区数学

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-22 DOI: 10.1007/s12346-024-01120-x

Sovan Bera, Subhas Khajanchi, Tapan Kumar Kar

{"title":"Stochastic Persistence, Extinction and Stationary Distribution in HTLV-I Infection Model with CTL Immune Response","authors":"Sovan Bera, Subhas Khajanchi, Tapan Kumar Kar","doi":"10.1007/s12346-024-01120-x","DOIUrl":"https://doi.org/10.1007/s12346-024-01120-x","url":null,"abstract":"To study the impact of stochastic environmental variations on the transmission dynamics of HTLV-I infection, a stochastic HTLV-I infection model with a nonlinear CTL immune response is developed. By selecting an appropriate stochastic Lyapunov functional, we discussed the qualitative behavior of the stochastic HTLV-I infection model, such as existence and uniqueness, stochastically ultimate bounded, and uniformly continuous. We find adequate criteria for the presence of a distinct ergodic stationary distribution of the HTLV-I system when the stochastic basic reproduction number is bigger than one by a careful mathematical examination of the HTLV-I infection model. Furthermore, when the stochastic fundamental reproduction number ((R_0^{E})) is smaller than one, we provide sufficient circumstances for the extinction of the diseases. To illustrate our analytical conclusions, we ran numerical simulations. We also plotted the time series evolution of the CTL immune response, healthy CD4+T cells, latently infected CD4+T cells, and actively infected CD4+T cells in relation to the white noise. In the numerical simulation, we investigate that small intensities of a single white noise can sustain a very slight fluctuation in each population. The high intensities of only one white noise can maintain the irregular recurrence of each population. Both the deterministic and stochastic models have the same solution if the random noises are too small.","PeriodicalId":48886,"journal":{"name":"Qualitative Theory of Dynamical Systems","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142222040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the Cauchy Problem for Nonlinear Fractional Systems with Lipschitzian Matrices Under the Generalized Metric Spaces 论广义公设空间下具有 Lipschitzian 矩阵的非线性分式系统的考奇问题

IF 1.4 3区数学

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-21 DOI: 10.1007/s12346-024-01127-4

Abdelatif Boutiara, Sotiris K. Ntouyas, Taghreed A. Assiri, Jessada Tariboon, Emad E. Mahmoud

引用次数: 0

Attractors in k-Dimensional Discrete Systems of Mixed Monotonicity 混合单调性 k 维离散系统中的吸引子

IF 1.4 3区数学

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-20 DOI: 10.1007/s12346-024-01123-8

Ziyad AlSharawi, Jose S. Cánovas, Sadok Kallel

引用次数: 0

Theoretical and Numerical Bifurcation Analysis of a Discrete Predator–Prey System of Ricker Type with Weak Allee Effect 具有弱阿利效应的离散捕食者-猎物瑞克型系统的理论和数值分岔分析

IF 1.4 3区数学

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-19 DOI: 10.1007/s12346-024-01124-7

Parvaiz Ahmad Naik, Rizwan Ahmed, Aniqa Faizan

引用次数: 0

Periodic and Quasiperiodic Solutions of a Forced Discontinuous Oscillator 强迫非连续振荡器的周期和准周期解法

IF 1.4 3区数学

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-19 DOI: 10.1007/s12346-024-01094-w

Denghui Li, Xiaoming Zhang, Biliu Zhou

引用次数: 0

Existence of Homoclinic Solutions for a Class of Nonlinear Second-order Problems 一类非线性二阶问题的同线性解的存在性

IF 1.4 3区数学

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-19 DOI: 10.1007/s12346-024-01114-9

Wei Yang, Ruyun Ma

引用次数: 0

Weyl Almost Automorphic Oscillation in Finite-Dimensional Distributions to Stochastic SICNNs with D Operator 从有限维分布中的韦尔几乎自动振荡到带 D 运算符的随机 SICNNs

IF 1.4 3区数学

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-19 DOI: 10.1007/s12346-024-01122-9

Yongkun Li, Xinyue Zhou

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引用次数: 0