Partial Differential Equations in Applied Mathematics最新文献_第3页

Comparative study of Ethylene Glycol and Fe3O4-Water on unsteady MHD fluid flow exponentially vertical accelerated plate through porous medium with radiation effect 乙二醇与fe3o4 -水在具有辐射效应的多孔介质指数垂直加速板上非定常MHD流体流动的比较研究

Partial Differential Equations in Applied Mathematics Pub Date : 2025-05-03 DOI: 10.1016/j.padiff.2025.101222

B. Shankar Goud

引用次数: 0

Mathematical modeling of lumpy skin disease: New perspectives and insights 肿块性皮肤病的数学建模：新的观点和见解

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-30 DOI: 10.1016/j.padiff.2025.101218

Goutam Saha , Pabel Shahrear , Abrar Faiyaz , Amit Kumar Saha

{"title":"Mathematical modeling of lumpy skin disease: New perspectives and insights","authors":"Goutam Saha , Pabel Shahrear , Abrar Faiyaz , Amit Kumar Saha","doi":"10.1016/j.padiff.2025.101218","DOIUrl":"10.1016/j.padiff.2025.101218","url":null,"abstract":"<div><div>This research presents a new mathematical structure featuring two compartments representing cows and flies. It aims to comprehensively understand the dynamics of Lumpy Skin Disease (LSD), incorporating a temperature-dependent mortality rate for flies. We thoroughly examine the model to establish the presence of a positive solution that remains bounded. By evaluating the disease's contamination potential and inspecting the model's stability concerning both local and global equilibrium points—namely, disease-free and endemic—we calculate the reproduction number. Theoretical analysis shows that a stable disease free equilibrium co-exists with a stable endemic equilibrium whenever the basic reproduction number is less than one implying the possibility of having backward bifurcation. Numerical simulation also supports this. Furthermore, through sensitivity analysis, we explore how various model parameters affect the basic reproduction number. Our numerical investigations underscore the critical importance of regulating specific parameters, such as the disease-induced mortality rate of cows, the temperature-dependent mortality rate of flies, and the rate of transition from infected to recovered cows, in effectively managing the disease system. Numerical results also show that controlling flies population and spraying adulticide, LSD spread can be prevented.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101218"},"PeriodicalIF":0.0,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143923945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Chaotic demonstration of the twin-core couplers with Kerr law non-linearity employing beta derivative 利用导数对克尔定律非线性双芯耦合器进行混沌论证

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-28 DOI: 10.1016/j.padiff.2025.101197

Adil Jhangeer , Maham Munawar , Mudassar Imran , Atef Abdelkader

{"title":"Chaotic demonstration of the twin-core couplers with Kerr law non-linearity employing beta derivative","authors":"Adil Jhangeer , Maham Munawar , Mudassar Imran , Atef Abdelkader","doi":"10.1016/j.padiff.2025.101197","DOIUrl":"10.1016/j.padiff.2025.101197","url":null,"abstract":"<div><div>The generalized auxiliary equation approach is employed to derive enhanced solitary wave solutions for nonlinear directional couplers utilizing optical metamaterials. The study highlights the influence of the fractional Beta derivative parameter on soliton dynamics, demonstrating its crucial role in shaping soliton amplitudes and wave structures. Various soliton families including semi-bright solitons, solitary dark pitched solitons, single solitons, and mixed hyperbolic, trigonometric, and rational solitons are systematically constructed. Furthermore, the impact of overlapping functions on soliton interactions is investigated, revealing their significant role in amplitude modulation, wave localization, and phase shifts. This insight provides a deeper understanding of nonlinear optical interactions and enhances the accuracy of wave propagation models in directional couplers. These solutions are further analyzed using advanced computational tools to extract numerical insights. Beyond mathematical derivations, the physical relevance of these findings is explored through phase portrait analysis, quasi-periodic patterns, Lyapunov exponents, 2D Power spectrum and 3D attractors. These analyses provide a deeper understanding of energy transfer mechanisms, stability characteristics, and nonlinear optical interactions within directional couplers. The sensitivity evaluation underscores the system’s response to perturbations, offering valuable implications for the design and optimization of optical communication systems, signal processing, and photonic device engineering.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101197"},"PeriodicalIF":0.0,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143905896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Entropy generation and Cattaneo-Christov heat flux model for micropolar blood-based magnetized nanofluid flow in the presence of artificial bacteria over a Darcy-Forchhiemer porous curved surface 人工细菌存在下微极血基磁化纳米流体在Darcy-Forchhiemer多孔曲面上流动的熵生成和Cattaneo-Christov热流密度模型

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-28 DOI: 10.1016/j.padiff.2025.101209

Khizar Hayat Khan , Aman Ullah , Saeed Islam , Muhammad Rooman

{"title":"Entropy generation and Cattaneo-Christov heat flux model for micropolar blood-based magnetized nanofluid flow in the presence of artificial bacteria over a Darcy-Forchhiemer porous curved surface","authors":"Khizar Hayat Khan , Aman Ullah , Saeed Islam , Muhammad Rooman","doi":"10.1016/j.padiff.2025.101209","DOIUrl":"10.1016/j.padiff.2025.101209","url":null,"abstract":"<div><div>This study examines how heat generation affects blood flow containing gold nanoparticles in a porous curved channel. The fluid follows magnetized Powell-Eyring dynamics with Darcy-Forchheimer resistance, Joule heating, and variable thermal conductivity. Heat transfer is modeled using CattaneoChristov theory. The governing equations are simplified using similarity transformations and solved analytically via the Homotopy Analysis Method (HAM). Results show that:<ul><li><span>•</span><span><div>The velocity profile declined with increased unsteadiness, magnetic field, porosity and nanoparticle concentration.</div></span></li><li><span>•</span><span><div>Temperature rises when more magnetite nanoparticles are added, improving blood's thermal properties.</div></span></li></ul><ul><li><span></span><span><div>We also analyze entropy generation, bacterial density, and nutrient distribution in blood flow. Clinically, since tumors reduce blood circulation, these findings may help optimize nanoparticle-based hyperthermia treatments.</div></span></li></ul></div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101209"},"PeriodicalIF":0.0,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143924015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Infinitely many solutions for an elliptic equation in divergent form with critical Hardy–Sobolev exponent 一类具有临界Hardy-Sobolev指数的发散型椭圆方程的无穷多解

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-28 DOI: 10.1016/j.padiff.2025.101179

Khalid Benlhachmi, Khalid Bouabid, Rachid Echarghaoui, Hicham Hadad

引用次数: 0

Towards understanding suicide dynamics in Ghana; Modelling and optimal control application 了解加纳的自杀动态；建模与最优控制应用

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-26 DOI: 10.1016/j.padiff.2025.101187

Shaibu Osman , Chidozie Williams Chukwu , Hailay Weldergiorgis Berhe , Teklebirhan Abraha Gebrehiwot , Oluwole Daniel Makinde , Otoo Dominic , Lema Logamou Seknewna , Abadi Abay , Hawa Osman

{"title":"Towards understanding suicide dynamics in Ghana; Modelling and optimal control application","authors":"Shaibu Osman , Chidozie Williams Chukwu , Hailay Weldergiorgis Berhe , Teklebirhan Abraha Gebrehiwot , Oluwole Daniel Makinde , Otoo Dominic , Lema Logamou Seknewna , Abadi Abay , Hawa Osman","doi":"10.1016/j.padiff.2025.101187","DOIUrl":"10.1016/j.padiff.2025.101187","url":null,"abstract":"<div><div>Suicide is considered a major public health concern, with an estimated 800,000 deaths each year globally. Understanding the dynamics of suicide and identifying effective prevention strategies is paramount. The most common factors responsible for suicidal thoughts are financial challenges, relationship issues, hopelessness, low self-esteem, depression, peer pressure, academic challenges, and parental problems. In this study, we considered suicide as an infection since it is contagious and can be transmitted from one person to the other directly or indirectly. A compartmental modelling approach was employed to help explain the dynamics of this phenomenon with possible strategies to combat this global health challenge. Suicide-free, suicide-endemic equilibrium points and their stability were determined. We extended the suicide model to optimal control using the following variables; education (sensitisation), counselling couples before marriage, and social intervention programmes. It was established that, the best optimal strategy for suicide control is sensitisation and counselling of susceptible population. Numerical simulation was conducted and it confirm the theoretical results. Suicide model has a considerable potential applications to the fight against suicide in Ghana. Policymakers should sensitise the general public on suicide awareness and how to manage financial and marriage related suicides in the country. Religious leaders and organisations should stress the need for counselling before marriage.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101187"},"PeriodicalIF":0.0,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143891781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Mixed convective and viscous heating effect of electromagnetic Tiwari-Das nanofluid model with permeable wall conditions 具有渗透壁条件的电磁Tiwari-Das纳米流体模型的混合对流和粘性热效应

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-26 DOI: 10.1016/j.padiff.2025.101181

S. Alao , S.O. Salawu , R.A. Oderinu , A.A. Oyewumi , A.A. Yahaya , A.T. Adeosun , A.D. Ohaegbue

{"title":"Mixed convective and viscous heating effect of electromagnetic Tiwari-Das nanofluid model with permeable wall conditions","authors":"S. Alao , S.O. Salawu , R.A. Oderinu , A.A. Oyewumi , A.A. Yahaya , A.T. Adeosun , A.D. Ohaegbue","doi":"10.1016/j.padiff.2025.101181","DOIUrl":"10.1016/j.padiff.2025.101181","url":null,"abstract":"<div><div>This study analyzes the flow behavior and thermal properties of conducting electro-magnetic Tiwari-Das nanofluid over a vertical stretchy/shrinky wall in a permeable channel, highlighting its potential for effective heat management processes as applied to exploration, medicine, biological and engineering activities. An appropriate report of thermo-physical properties in such a setup is needed to obtain the required production output. Hence, theoretical analysis of viscous dissipation and porosity on unsteady magnetized convective and electrically conducting nanofluid(<span><math><mrow><msub><mrow><mi>Al</mi></mrow><mrow><mn>2</mn></mrow></msub><msub><mrow><mi>O</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math></span> and <span><math><mi>Cu</mi></math></span>) past a vertical permeable stretchy/shrinky plate of the Tiwari–Das model is considered. The formulated governing model along with boundary conditions was converted into coupled ordinary differential equations and the resulting model was numerically solved using the Chebyshev collocation technique. It can be deduced that nanoparticles presence are seen to reduce the velocity of the flow. It has been noted that higher viscous dissipation enlarges the temperature of the system. Also, skin friction and Nusselt number can be enhanced by improving the fraction of the nanoparticles.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101181"},"PeriodicalIF":0.0,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143878914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamical behaviors for analyzing the stability of glycolysis model using fractal–fractional derivative 用分形-分数阶导数分析糖酵解模型稳定性的动力学行为

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-26 DOI: 10.1016/j.padiff.2025.101198

S. Sabarinathan , M. Sivashankar , Kottakkaran Sooppy Nisar , Suliman Alsaeed , C. Ravichandran

引用次数: 0

An analysis of upper-convected Maxwell nanofluid flow over a stretching surface: Theoretical and numerical approaches 上对流麦克斯韦纳米流体在拉伸表面上流动的分析：理论和数值方法

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-26 DOI: 10.1016/j.padiff.2025.101203

Baskaran Yamuna , Athimoolam Meena , Lakshmanan Rajendran , Mohammad Izadi

{"title":"An analysis of upper-convected Maxwell nanofluid flow over a stretching surface: Theoretical and numerical approaches","authors":"Baskaran Yamuna , Athimoolam Meena , Lakshmanan Rajendran , Mohammad Izadi","doi":"10.1016/j.padiff.2025.101203","DOIUrl":"10.1016/j.padiff.2025.101203","url":null,"abstract":"<div><div>The flow of fluids in three dimensions is more important in material science, visual design, data science, physical science, the fabrication of plastics, and biological processes.Subsequently, this article has concentrated on investigating nanofluid over a three-dimensional surface in a magnetic field via a bidirectional, non-linearly stretched surface.A mathematical model of the magnetohydrodynamics upper-convected maxwell nanofluid flow is discussed. A set of nonlinear differential equations with a nonlinear component about heat radiation is the basis for this model. The innovation of this research is to analyze the variations in fluid and thermal parameters, namely velocity, temperature, and concentration. It also involves calculating the Nusselt and Sherwood numbers for an upper convected Maxwell nanofluid on a bidirectional stretching sheet. This analysis is being conducted for the first time using analytical (Rajendran-Joy's method) and numerical calculation (Matlab). The analytical results are verified with numerical methods to determine their efficacy and accuracy. The derived analytical results examine the effects of chemical reactions, magnetic fields, and other relevant parameters on temperature, species concentration, and fluid velocity. The graphs and tables show the impact of different variables on velocity, temperature, and concentration. Additionally, a sensitivity study of these variables to velocity is provided.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101203"},"PeriodicalIF":0.0,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143903611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An effective operational-collocation method for approximating Bessel fractional derivative 近似贝塞尔分数阶导数的一种有效的运算搭配方法

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-25 DOI: 10.1016/j.padiff.2025.101180

Hadiseh Jafari Arimi, Mostafa Eslami

引用次数: 0