Partial Differential Equations in Applied Mathematics最新文献_第4页

Impact of alarm signals and mutualistic interactions in a food chain model of oxpeckers, zebras, and lions 警报信号的影响和相互作用的食物链模型中的牛椋鸟，斑马和狮子

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-25 DOI: 10.1016/j.padiff.2025.101189

Ashraf Adnan Thirthar , Prabir Panja , Thabet Abdeljawad

{"title":"Impact of alarm signals and mutualistic interactions in a food chain model of oxpeckers, zebras, and lions","authors":"Ashraf Adnan Thirthar , Prabir Panja , Thabet Abdeljawad","doi":"10.1016/j.padiff.2025.101189","DOIUrl":"10.1016/j.padiff.2025.101189","url":null,"abstract":"<div><div>This paper has developed a three-species food chain model among the interactions of oxpeckers, zebras, and lions. This model considers a mutualistic interaction between zebras and oxpeckers. In the absence of lions and other species, it is thought that oxpeckers and zebras grow logistically. It is assumed that the lions eat zebras in a Holling type II functional form. It is also assumed that oxpeckers can alert zebras through some signal if there is a possibility of attack by lions. The equilibrium points of the proposed model are determined and analyzed. The local stability of the model around these points has been investigated. Also, the existence of some local bifurcations, such as saddle–node bifurcation, transcritical bifurcation, and Hopf bifurcation, in the model has been studied. The increase in the alert signal <span><math><mrow><mo>(</mo><mi>q</mi><mo>)</mo></mrow></math></span> between oxpeckers and zebras is found to stabilize the model. Also, it is found that the hunting cooperation <span><math><mrow><mo>(</mo><mi>p</mi><mo>)</mo></mrow></math></span> among the lions may be beneficial for the stability of the system. It has been observed that the mutualistic relationship between oxpeckers and zebras may increase the stability of the model. Finally, some numerical simulation results have been presented.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101189"},"PeriodicalIF":0.0,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882271","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

Innovation of Yang Hussein Jassim’s method in solving nonlinear telegraph equations across multiple dimensions 杨·侯赛因·贾西姆求解多维非线性电报方程方法的创新

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-25 DOI: 10.1016/j.padiff.2025.101182

Naser Rhaif Swain , Hassan Kamil Jassim

{"title":"Innovation of Yang Hussein Jassim’s method in solving nonlinear telegraph equations across multiple dimensions","authors":"Naser Rhaif Swain , Hassan Kamil Jassim","doi":"10.1016/j.padiff.2025.101182","DOIUrl":"10.1016/j.padiff.2025.101182","url":null,"abstract":"<div><div>This research utilizes the Yang Hussein Jassim method (YHJM) approach to investigate the precise solutions of the space–time telegraph equation analytically (ST-TE). The Yang Hussein Jassim method (YHJM) approach is an innovative and appealing hybrid transformation integration method, effectively combining the Hussein Jassim (HJM) and Yang transform <span><math><mrow><mo>(</mo><msub><mrow><mi>Y</mi></mrow><mrow><mi>a</mi></mrow></msub><mo>)</mo></mrow></math></span>. Through a simplified iterative process with minimal computational requirements, this approach quickly provides convergent, sequential solutions. The reliability of the method is demonstrated by applying it to two case studies of the ST-TE within the framework of the Tania derivative, which includes the definition of non-singular kernel functions. The study also includes extensive comparisons between approximate, exact, and relevant literature-based solutions to assess the technique’s accuracy and effectiveness. Visual depictions demonstrate the influence of fractional temporal and spatial parameters on the behavior of solutions. The results indicate that this approach is straightforward to apply and effective for analyzing intricate physical models described by nonlinear partial differential equations with fractional time terms.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101182"},"PeriodicalIF":0.0,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143878915","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

A robust study upon fuzzy fractional 2D heat equation via semi-analytical technique 基于半解析技术的模糊分数阶二维热方程鲁棒性研究

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-25 DOI: 10.1016/j.padiff.2025.101207

Mamta Kapoor

{"title":"A robust study upon fuzzy fractional 2D heat equation via semi-analytical technique","authors":"Mamta Kapoor","doi":"10.1016/j.padiff.2025.101207","DOIUrl":"10.1016/j.padiff.2025.101207","url":null,"abstract":"<div><div>This paper presents a novel semi-analytical approach to solve 2<em>D</em> fuzzy fractional heat equation which combines Shehu transform with Homotopy Perturbation Method. This method efficiently generates dual-bound solutions (lower and upper bounds) that precisely capture uncertainty inherent in fuzzy fractional systems. Proposed technique demonstrates remarkable advantages: it effectively handles the complexity of fractional derivatives while maintaining computational efficiency compared to traditional numerical methods. Through rigorous validation via using three distinct test illustrations, method’s accuracy and reliability are confirmed through comprehensive graphical and tabular analyses. The results disclose excellent agreement between approximate solutions and benchmark solutions, with confirmed theoretical and numerical convergence. Notably, this approach proves particularly valuable to handle problems where exact analytical solutions are unavailable or computationally difficult to fetch. This work not only provides a robust framework to solve fuzzy fractional PDEs but also offers practical insights for applications in heat transfer, diffusion processes, and other engineering systems involving uncertainty and memory effects. The method's efficiency and accuracy make it a compelling alternative to conventional numerical schemes for complex differential equations.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101207"},"PeriodicalIF":0.0,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143911577","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

Melting heat transfer properties on the magnetohydrodynamic flow of CNT-water nanofluids over an expanding surface 碳纳米管-水纳米流体在膨胀表面上磁流体动力学流动的熔融传热特性

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-24 DOI: 10.1016/j.padiff.2025.101212

Nilanchala Sethy, S.R. Mishra

{"title":"Melting heat transfer properties on the magnetohydrodynamic flow of CNT-water nanofluids over an expanding surface","authors":"Nilanchala Sethy, S.R. Mishra","doi":"10.1016/j.padiff.2025.101212","DOIUrl":"10.1016/j.padiff.2025.101212","url":null,"abstract":"<div><div>The significance of velocity slip in relation to the melting condition is examined in the current analysis for the flow of nanofluid via a stretching cylinder. However, magnetisation's importance for including transverse magnetic field is vital. As a novel study the use of “<em>Single-Wall Carbon Nanotube</em>” (SWCNT) and “<em>Multi-Wall Carbon Nanotube</em>” (MWCNT) nanocomposites are immersed in base liquid water for the thermal enhancement properties. As a result, the current model is designed to study the interaction of radiating energy and has various uses in the aforementioned fields. However, the prosed model is solved numerically deploying the traditional “<em>Runge-Kutta-fourth-order</em>” technique accomplished with shooting. Graphics are used to illustrate the properties of different physical elements connected to the governing equations. The analysis pertaining to the parameters is pronounced briefly. The main outputs are: The thickness of the thermal bounding surface increases due to the combined effect of volume concentration and thermal radiation, whereas the thickness decreases as a result of the heat supplier enhancing the profile.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101212"},"PeriodicalIF":0.0,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143892254","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

Computational scheme for the numerical solution of fractional order pantograph delay-integro-differential equations via the Bernstein approach 用Bernstein方法数值解分数阶受电弓延迟-积分-微分方程的计算格式

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-24 DOI: 10.1016/j.padiff.2025.101194

E. Aourir , H. Laeli Dastjerdi , Kamal Shah , Thabet Abdeljawad

{"title":"Computational scheme for the numerical solution of fractional order pantograph delay-integro-differential equations via the Bernstein approach","authors":"E. Aourir , H. Laeli Dastjerdi , Kamal Shah , Thabet Abdeljawad","doi":"10.1016/j.padiff.2025.101194","DOIUrl":"10.1016/j.padiff.2025.101194","url":null,"abstract":"<div><div>The main objective of this research is to provide an efficient computational algorithm for solving a class of fractional order pantograph delay-integro-differential equations. The Bernstein approximation technique is employed for approximating the solutions of such equations by taking into account the properties of Bernstein polynomials, which transform the original problem into a simplified linear system of algebraic equations. The formulation of the suggested scheme is carefully described, and its convergence performance is examined. Both existence and uniqueness theorems are provided to establish the theoretical reliability of the methodology. Additionally, an estimation of the error bounds is reported to evaluate the precision of the approximation. The reliability, stability and computational effectiveness of the algorithm developed are confirmed by a series of numerical experiments. A comparative analysis with other available methodologies and analytical solutions further highlights the practicality and robustness of the new technique, offering reduced computational and memory costs.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101194"},"PeriodicalIF":0.0,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143891782","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

A mathematical reaction–diffusion model describing the connection between smokers and tuberculosis patients 描述吸烟者与肺结核患者之间关系的数学反应扩散模型

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-24 DOI: 10.1016/j.padiff.2025.101186

Issam Khaloufi , Marouane Karim , Soukaina Ben Rhila , Mostafa Rachik

{"title":"A mathematical reaction–diffusion model describing the connection between smokers and tuberculosis patients","authors":"Issam Khaloufi , Marouane Karim , Soukaina Ben Rhila , Mostafa Rachik","doi":"10.1016/j.padiff.2025.101186","DOIUrl":"10.1016/j.padiff.2025.101186","url":null,"abstract":"<div><div>In this paper, we introduce a new mathematical model that incorporates both temporal and spatial factors to characterize the relationship between the smoking population and tuberculosis (TB) cases. We validate the model’s relevance by demonstrating the existence and positivity of the solutions. Furthermore, we propose three control measures aimed at reducing TB and smoking transmission, focusing on limiting contact between smokers and non-smokers, improving awareness of the health risks associated with smoking, and ensuring timely and effective medical treatment for TB patients. Mathematical analysis is employed to demonstrate the existence and characteristics of optimal controls for these strategies. The theoretical results are verified using numerical simulations, which also confirm the effectiveness of the suggested control strategies. Our results underline the importance of considering spatiotemporal dynamics in disease modeling and control, and they offer crucial insights for public health initiatives aimed at reducing the prevalence of smoking and TB.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101186"},"PeriodicalIF":0.0,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143895122","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

A novel explicit scheme for stochastic diffusive SIS models with treatment effects 具有治疗效果的随机扩散SIS模型的一种新的显式格式

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-24 DOI: 10.1016/j.padiff.2025.101215

Muhammad Shoaib Arif

引用次数: 0

On the constitutive behaviour of the inertial drag with radiative and dissipative heat and chemical reaction for Casson fluid flow over an extending surface through permeable medium 卡森流体通过可渗透介质在扩展表面上流动时，带辐射热和耗散热的惯性阻力的本构行为及化学反应

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-24 DOI: 10.1016/j.padiff.2025.101210

Rupa Baithalu , Titilayo M Agbaje , Subhajit Panda , S.R. Mishra

{"title":"On the constitutive behaviour of the inertial drag with radiative and dissipative heat and chemical reaction for Casson fluid flow over an extending surface through permeable medium","authors":"Rupa Baithalu , Titilayo M Agbaje , Subhajit Panda , S.R. Mishra","doi":"10.1016/j.padiff.2025.101210","DOIUrl":"10.1016/j.padiff.2025.101210","url":null,"abstract":"<div><div>In advanced industrial and biomedical application combined with polymer processing, blood flow analysis, and food processing, the Casson fluid model emerged as a crucial framework for illustrating the transportation of non-Newtonian fluids. The proposed analysis investigates the constitutive behavior of the Darcy-Forchheimer inertial drag considering Casson fluid flow through an extending surface packed with Darcy medium. Also, favorable body forces like radiative and dissipative heat effects and chemical reactions are analyzed to carry out the synergistic role in the thermal and concentration distribution. The suitable assumptions of transformation rules are adopted to transform the governing flow phenomena into dimensionless forms. This leads to the appearance of certain factors involved in these governing equations. Further, coupled nonlinear sets of model problems are handled numerically employing the “spectral Quasi-linearization method”. The conformity of the attribute of convergence of the current strategy and the validation with the earlier investigation supported the particular cases. Further, the behaviour of the controlling factors on the flow profiles is depicted graphically. The results reveal the effective interaction of inertial drag and radiant heat on the velocity vis-a-vis temperature distributions. Moreover, the illustration of the enhanced chemical reaction influences the concentration profile with stronger reactions leading to sharper gradients.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101210"},"PeriodicalIF":0.0,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143900130","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

Exact solutions of the (1+1)-dissipative Westervelt equation using an optimal system of Lie sub-algebras and modified simple equation method （1+1）-耗散Westervelt方程的最优李子代数系统和修正简单方程法的精确解

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-24 DOI: 10.1016/j.padiff.2025.101178

Theko M. Sekhesa , Ngaka J. Nchejane , Wetsi D. Poka , Kalebe M. Kalebe

引用次数: 0

Evaluating vaccination and quarantine for measles intervention strategy in Jakarta, Indonesia through mathematical modeling 通过数学模型评估印度尼西亚雅加达麻疹疫苗接种和检疫干预策略

Partial Differential Equations in Applied Mathematics Pub Date : 2025-04-24 DOI: 10.1016/j.padiff.2025.101191

Dipo Aldila , Abdullah Hasan Hassan , Chidozie Williams Chukwu , Stephane Yanick Tchoumi , Muhamad Hifzhudin Noor Aziz

{"title":"Evaluating vaccination and quarantine for measles intervention strategy in Jakarta, Indonesia through mathematical modeling","authors":"Dipo Aldila , Abdullah Hasan Hassan , Chidozie Williams Chukwu , Stephane Yanick Tchoumi , Muhamad Hifzhudin Noor Aziz","doi":"10.1016/j.padiff.2025.101191","DOIUrl":"10.1016/j.padiff.2025.101191","url":null,"abstract":"<div><div>This article introduces a system of seven-dimensional nonlinear differential equations to analyze the influence of vaccination strategies on the spread of measles in Jakarta, using weekly incidence data for parameter estimation. Our dynamical analysis begins by determining the existence and stability of equilibrium states and calculating the basic reproduction number, denoted by <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>. The analysis indicates that the disease-free equilibrium is globally asymptotically stable if <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo><</mo><mn>1</mn></mrow></math></span>. Conversely, the endemic equilibrium always persists and remains stable if <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>></mo><mn>1</mn></mrow></math></span>. Next, we conduct a global sensitivity analysis using the Partial Rank Correlation Coefficient (PRCC) method integrated with Latin Hypercube Sampling (LHS). The results indicate that the initial-dose vaccination intervention plays the most critical role in reducing the reproduction number, highlighting its significant potential as a measles control strategy. Additionally, we extend the model into an optimal control problem framework to identify the most effective strategy for preventing measles spread while minimizing intervention costs. This control optimization is formulated using Pontryagin’s Maximum Principle and solved numerically through the forward–backward sweep method. The cost-effectiveness analysis indicates that a combination of vaccination and quarantine is the most effective strategy compared to other possible control measures.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101191"},"PeriodicalIF":0.0,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869724","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