Partial Differential Equations in Applied Mathematics最新文献_第7页

Steady flow of couple stress fluid through a rectangular channel under transverse magnetic field with suction 在带吸力的横向磁场作用下，耦合应力流体在矩形通道中的稳定流动

Partial Differential Equations in Applied Mathematics Pub Date : 2024-10-10 DOI: 10.1016/j.padiff.2024.100956

Pavan Kumar Reddy Muduganti , Aparna Podila , Pothanna Nalimela , Mahesh Garvandha , Venkata Ramana Murthy Josyula

引用次数: 0

Existence, stability and the number of two-dimensional invariant manifolds for the convective Cahn–Hilliard equation 对流卡恩-希利亚德方程的存在性、稳定性和二维不变流形数

Partial Differential Equations in Applied Mathematics Pub Date : 2024-10-09 DOI: 10.1016/j.padiff.2024.100946

A.N. Kulikov, D.A. Kulikov

引用次数: 0

A two-strain COVID-19 co-infection model with strain 1 vaccination 接种 1 号菌株疫苗的双菌株 COVID-19 协同感染模型

Partial Differential Equations in Applied Mathematics Pub Date : 2024-10-09 DOI: 10.1016/j.padiff.2024.100945

Taqi A.M. Shatnawi , Stephane Y. Tchoumi , Herieth Rwezaura , Khalid Dib , Jean M. Tchuenche , Mo’tassem Al-arydah

{"title":"A two-strain COVID-19 co-infection model with strain 1 vaccination","authors":"Taqi A.M. Shatnawi , Stephane Y. Tchoumi , Herieth Rwezaura , Khalid Dib , Jean M. Tchuenche , Mo’tassem Al-arydah","doi":"10.1016/j.padiff.2024.100945","DOIUrl":"10.1016/j.padiff.2024.100945","url":null,"abstract":"<div><div>COVID-19 has caused substantial morbidity and mortality worldwide. Previous models of strain 1 vaccination with re-infection when vaccinated, as well as infection with strain 2 did not consider co-infected classes. To fill this gap, a two co-circulating COVID-19 strains model with strain 1 vaccination, and co-infected is formulated and theoretically analyzed. Sufficient conditions for the stability of the disease-free equilibrium and single-strain 1 and -strain 2 endemic equilibria are obtained. Results show as expected that (1) co-infected classes play a role in the transmission dynamics of the disease (2) a high efficacy vaccine could effectively help mitigate the spread of co-infection with both strain 1 and 2 compared to the low-efficacy vaccine. Sensitivity analysis reveals that the main drivers of the effective reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>e</mi></mrow></msub></math></span> are primarily the effective contact rate for strain 2 (<span><math><msub><mrow><mi>β</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>), the strain 2 recovery rate (<span><math><msub><mrow><mi>τ</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>), and the vaccine efficacy or infection reduction due to the vaccine (<span><math><mi>η</mi></math></span>). Thus, implementing intervention measures to mitigate the spread of COVID-19 should not ignore the co-infected individuals who can potentially spread both strains of the disease.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"12 ","pages":"Article 100945"},"PeriodicalIF":0.0,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142434015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analysis of boundary layer flow of a Jeffrey fluid over a stretching or shrinking sheet immersed in a porous medium 杰弗里流体在浸入多孔介质的伸缩片上的边界层流动分析

Partial Differential Equations in Applied Mathematics Pub Date : 2024-10-06 DOI: 10.1016/j.padiff.2024.100951

Nagaraju B , N Kishan , Jagadish V. Tawade , Pandikani Meenapandi , Barno Abdullaeva , M. Waqas , Manish Gupta , Nadia Batool , Furqan Ahmad

{"title":"Analysis of boundary layer flow of a Jeffrey fluid over a stretching or shrinking sheet immersed in a porous medium","authors":"Nagaraju B , N Kishan , Jagadish V. Tawade , Pandikani Meenapandi , Barno Abdullaeva , M. Waqas , Manish Gupta , Nadia Batool , Furqan Ahmad","doi":"10.1016/j.padiff.2024.100951","DOIUrl":"10.1016/j.padiff.2024.100951","url":null,"abstract":"<div><div>Heat transfer optimization is critical in many applications, such as heat exchangers, electric coolers, solar collectors, and nuclear reactors. The current work looks at the thermohydraulic behavior of Jeffery fluid flow along a plane containing a magnetic field, a non-uniform heat source/sink, and a porous media. Numerical solutions are derived using the Runge-Kutta 4th-order approach and the shooting method. Graphs show how Prandtl number (Pr), thermal stratification (e<sub>1</sub>), Jeffery parameter (λ<sub>1</sub>), porous parameter (λ<sub>2</sub>), magnetic field (M), and heat generation/absorption (γ, a, b) affect velocity and temperature profiles. The results show that thermal stratification increases fluid velocity and temperature, whereas heat source/sink parameters have the reverse effect on heat transfer, and raising the Jeffrey parameter reduces velocity and increases boundary layer thickness. There is extremely high agreement with experimental data from the literature. This work illustrates the utility of hydromagnetic properties in modelling fluid flow over stretching/shrinking sheets in porous media.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"12 ","pages":"Article 100951"},"PeriodicalIF":0.0,"publicationDate":"2024-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A new solution approach to proportion delayed and heat like fractional partial differential equations 比例延迟和类热分式偏微分方程的新求解方法

Partial Differential Equations in Applied Mathematics Pub Date : 2024-10-05 DOI: 10.1016/j.padiff.2024.100948

Alok Bhargava , D.L. Suthar , Deepika Jain

引用次数: 0

Optimal control strategies for infectious disease management: Integrating differential game theory with the SEIR model 传染病管理的最佳控制策略：将微分博弈论与 SEIR 模型相结合

Partial Differential Equations in Applied Mathematics Pub Date : 2024-10-04 DOI: 10.1016/j.padiff.2024.100943

Awad Talal Alabdala , Yasmin Adel , Waleed Adel

{"title":"Optimal control strategies for infectious disease management: Integrating differential game theory with the SEIR model","authors":"Awad Talal Alabdala , Yasmin Adel , Waleed Adel","doi":"10.1016/j.padiff.2024.100943","DOIUrl":"10.1016/j.padiff.2024.100943","url":null,"abstract":"<div><div>The rapid spread of infectious diseases poses a critical threat to global public health. Traditional frameworks, such as the Susceptible–Exposed–Infectious–Recovered (SEIR) model, have been crucial in elucidating disease dynamics. Nonetheless, these models frequently overlook the strategic interactions between public health authorities and individuals. This research extends the classic SEIR model by incorporating differential game theory to analyze optimal control strategies. By modeling the conflicting objectives of public health authorities aiming to minimize infection rates and intervention costs, and individuals seeking to reduce their infection risk and inconvenience, we derive a Nash equilibrium that provides a balanced approach to disease management. Using Picard’s iterative method, we solve the extended model to determine dynamic, optimal control strategies, revealing oscillatory behavior in public health interventions and individual preventive measures. This comprehensive approach offers valuable insights into the dynamic interactions essential for effective infectious disease control.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"12 ","pages":"Article 100943"},"PeriodicalIF":0.0,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical simulation of an effective transform mechanism with convergence analysis of the fractional diffusion-wave equations 有效转换机制的数值模拟与分数扩散波方程的收敛分析

Partial Differential Equations in Applied Mathematics Pub Date : 2024-10-03 DOI: 10.1016/j.padiff.2024.100947

Nazek A. Obeidat, Mahmoud S. Rawashdeh, Malak Q. Al Erjani

{"title":"Numerical simulation of an effective transform mechanism with convergence analysis of the fractional diffusion-wave equations","authors":"Nazek A. Obeidat, Mahmoud S. Rawashdeh, Malak Q. Al Erjani","doi":"10.1016/j.padiff.2024.100947","DOIUrl":"10.1016/j.padiff.2024.100947","url":null,"abstract":"<div><div>In the current study, we solve two very important mathematical models, such as the time fractional-order space-fractional telegraph and diffusion-wave equations using a reliable technique called the Adomian decomposition natural method (ADNM), which combines Adomian decomposition and natural transform. The diffusion wave equation describes the flood wave propagation, which is used in solving overland and open channel flow problems. For this reason, it is critical to fully understand and effectively solve the diffusion wave equations. Because telegraph equations are crucial for modeling and developing voltage or frequency transmission, they are widely used in physics and engineering. Furthermore, the designing process is greatly impacted by the uncertainty in the system parameters. For nonlinear ordinary differential equations based on the theorem of Banach fixed point, we provide existence and uniqueness theorem proofs. The present approach has been successfully used to explore exact solutions for time fractional-order and space fractional-order applications. The results show how effective and valuable the ADNM. This paper presents a methodology that will be used in future work to address similar nonlinear problems related to fractional calculus.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"12 ","pages":"Article 100947"},"PeriodicalIF":0.0,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Thermal analysis of hybrid nano-fluids: Modeling and non-similar solutions 混合纳米流体的热分析：建模与非相似解

Partial Differential Equations in Applied Mathematics Pub Date : 2024-09-30 DOI: 10.1016/j.padiff.2024.100944

A. Abbasi , W. Farooq , M. Ijaz Khan , Barno Sayfutdinovna Abdullaeva , Sami Ullah Khan , M. Waqas

{"title":"Thermal analysis of hybrid nano-fluids: Modeling and non-similar solutions","authors":"A. Abbasi , W. Farooq , M. Ijaz Khan , Barno Sayfutdinovna Abdullaeva , Sami Ullah Khan , M. Waqas","doi":"10.1016/j.padiff.2024.100944","DOIUrl":"10.1016/j.padiff.2024.100944","url":null,"abstract":"<div><div>The thermal analysis of hybrid nano-fluids is a significant research area with diverse applications in industries such as paint, electronics, and mechanical engineering. Existing literature provides limited solutions to the governing equations for the flow of these fluids. Modeling and deriving non-similar solutions for these equations pose interesting and challenging mathematical problems. This study focuses on investigating heat transfer in the flow of two types of nano-fluids, specifically Al<sub>2O<sub>3/H<sub>2O</sub></sub></sub> micropolar nano-fluid and Al<sub>2</sub>O<sub>3</sub> + Ag/H<sub>2</sub>O hybrid nano-fluid, near an isothermal sphere. Conservation laws are employed to formulate the mathematical problem, and by normalizing the variables, the governing equations are converted into a set of dimensionless partial differential equations. Non-similar solutions are then obtained using numerical methods. A comparative analysis is carried out to assess the influence of various parameters on different profiles and engineering quantities for both types of nano-fluids. Both linear and rotational velocities fall down near the surface of sphere with rising microstructure in hybrid nanofluid. The micro-rotation parameter rises the temperature profile while reduces the Nusselt number of both traditional Al<sub>2</sub>O<sub>3</sub>/water based nanofluid as well as hybrid nanofluid.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"12 ","pages":"Article 100944"},"PeriodicalIF":0.0,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419615","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Hyers–Ulam stability of Nipah virus model using Atangana–Baleanu–Caputo fractional derivative with fixed point method 利用阿坦加纳-巴莱亚努-卡普托分数导数与定点法计算尼帕病毒模型的海尔-乌兰稳定性

Partial Differential Equations in Applied Mathematics Pub Date : 2024-09-27 DOI: 10.1016/j.padiff.2024.100939

S. Dhivya , V. Govindan , Choonkil Park , Siriluk Donganont

{"title":"Hyers–Ulam stability of Nipah virus model using Atangana–Baleanu–Caputo fractional derivative with fixed point method","authors":"S. Dhivya , V. Govindan , Choonkil Park , Siriluk Donganont","doi":"10.1016/j.padiff.2024.100939","DOIUrl":"10.1016/j.padiff.2024.100939","url":null,"abstract":"<div><div>In this study, we present a novel investigation into the dynamics of the Nipah virus through the lens of fractional differential equations (FDEs), employing the Atangana–Baleanu–Caputo fractional derivative (ABCFD) and the fixed-point approach (FPA). The core contribution of this work lies in establishing the existence and uniqueness of solutions to the proposed FDEs, a critical step for validating the model. Furthermore, we explore the Hyers–Ulam (HU) stability of these generalized FDEs, providing a rigorous mathematical foundation for the stability analysis within the context of viral dynamics. By leveraging the ABCFD, our work extends the classical stability criteria, offering new insights into the role of memory effects in disease modeling. Additionally, we present approximate solutions across various compartments and fractional orders, highlighting the sensitivity of the system to key parameters. Numerical simulations, conducted using the Cullis method, illustrate the impact of fractional orders and validate the theoretical findings, positioning this work as a significant advancement in the application of fractional calculus to epidemiological models.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"12 ","pages":"Article 100939"},"PeriodicalIF":0.0,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419616","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamical behavior of tempered φ-Caputo type fractional order stochastic differential equations driven by Lévy noise 莱维噪声驱动的回火φ-卡普托型分数阶随机微分方程的动力学行为

Partial Differential Equations in Applied Mathematics Pub Date : 2024-09-27 DOI: 10.1016/j.padiff.2024.100938

M. Latha Maheswari , Karthik Muthusamy

引用次数: 0