Pub Date : 2024-07-09DOI: 10.28924/2291-8639-22-2024-111
Khalaf M. Alanazi
A prey-predator model with diffusion and home ranges is considered. The model consists of partial differential and integral equations. The model incorporates complex mathematical expressions, which make it hard to analyze mathematically. Therefore, a numerical solution is provided in two cases. The first case considers the prey population growing logistically, while we consider the exponential growth of the prey population in the second case. We study the dynamic behavior of the two species for both cases. Special attention goes to the impact of home ranges and diffusion coefficients on the dynamics of prey and predator populations.
{"title":"A Prey-Predator Mathematical Model With Diffusion and Home Ranges","authors":"Khalaf M. Alanazi","doi":"10.28924/2291-8639-22-2024-111","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-111","url":null,"abstract":"A prey-predator model with diffusion and home ranges is considered. The model consists of partial differential and integral equations. The model incorporates complex mathematical expressions, which make it hard to analyze mathematically. Therefore, a numerical solution is provided in two cases. The first case considers the prey population growing logistically, while we consider the exponential growth of the prey population in the second case. We study the dynamic behavior of the two species for both cases. Special attention goes to the impact of home ranges and diffusion coefficients on the dynamics of prey and predator populations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141665141","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}
Pub Date : 2024-07-09DOI: 10.28924/2291-8639-22-2024-109
M. Thongmoon, Supannee Sompong, Chawalit Boonpok
This paper deals with the concepts of upper and lower almost (τ1, τ2)-continuous multifunctions. Moreover, we investigate some characterizations of upper and lower almost (τ1, τ2)-continuous multifunctions by utilizing τ1τ2-δ-open sets.
{"title":"Almost (τ1, τ2)-Continuity and τ1τ2-δ-Open Sets","authors":"M. Thongmoon, Supannee Sompong, Chawalit Boonpok","doi":"10.28924/2291-8639-22-2024-109","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-109","url":null,"abstract":"This paper deals with the concepts of upper and lower almost (τ1, τ2)-continuous multifunctions. Moreover, we investigate some characterizations of upper and lower almost (τ1, τ2)-continuous multifunctions by utilizing τ1τ2-δ-open sets.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141665106","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}
Pub Date : 2024-06-07DOI: 10.28924/2291-8639-22-2024-99
Hleil Alrweili
This article introduces a new model using the alpha power cosine transformed method for modeling complex data used in hydrology and engineering studies. The alpha power novel distribution transformed the cosine moment exponential model with two parameters. Its probability density function can be skewed and unimodal. Various statistical and mathematical properties are established, and the unknown parameters of the suggested model are determined using numerous estimation procedures. Also, the potential of these estimation techniques is calculated via some simulation studies. In the end, two real data sets are made using the proposed model to make a practical application in environmental and survival fields. The potential and utility of the recommended distribution are verified with other well known models and it shows great superiority in fitting the proposed data sets.
{"title":"On the Analysis of Environmental and Engineering Data Using Alpha Power Transformed Cosine Moment Exponential Model","authors":"Hleil Alrweili","doi":"10.28924/2291-8639-22-2024-99","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-99","url":null,"abstract":"This article introduces a new model using the alpha power cosine transformed method for modeling complex data used in hydrology and engineering studies. The alpha power novel distribution transformed the cosine moment exponential model with two parameters. Its probability density function can be skewed and unimodal. Various statistical and mathematical properties are established, and the unknown parameters of the suggested model are determined using numerous estimation procedures. Also, the potential of these estimation techniques is calculated via some simulation studies. In the end, two real data sets are made using the proposed model to make a practical application in environmental and survival fields. The potential and utility of the recommended distribution are verified with other well known models and it shows great superiority in fitting the proposed data sets.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141375693","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}
Pub Date : 2024-06-07DOI: 10.28924/2291-8639-22-2024-97
P. Pue-on, Supannee Sompong, Chawalit Boonpok
This paper is concerned with the concept of almost quasi (τ1, τ2)-continuous multifunctions. Moreover, some characterizations of almost quasi (τ1, τ2)-continuous multifunctions are investigated.
{"title":"Almost Quasi (τ1, τ2)-Continuity for Multifunctions","authors":"P. Pue-on, Supannee Sompong, Chawalit Boonpok","doi":"10.28924/2291-8639-22-2024-97","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-97","url":null,"abstract":"This paper is concerned with the concept of almost quasi (τ1, τ2)-continuous multifunctions. Moreover, some characterizations of almost quasi (τ1, τ2)-continuous multifunctions are investigated.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141373910","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}
Pub Date : 2024-06-07DOI: 10.28924/2291-8639-22-2024-96
Yasser Farhat, Vadakasi Subramanian
In this article, we study the nature of different types of functions, namely, cliquish, lower semi-continuous, and upper semi-continuous functions in generalized Gδ-submaximal, generalized submaximal, and hyperconnected spaces. It also includes a cursory discussion about the properties for generalized Gδ-submaximal, generalized submaximal, and hyperconnected spaces in generalized metric spaces.
{"title":"Functions in GTSs and GMSs","authors":"Yasser Farhat, Vadakasi Subramanian","doi":"10.28924/2291-8639-22-2024-96","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-96","url":null,"abstract":"In this article, we study the nature of different types of functions, namely, cliquish, lower semi-continuous, and upper semi-continuous functions in generalized Gδ-submaximal, generalized submaximal, and hyperconnected spaces. It also includes a cursory discussion about the properties for generalized Gδ-submaximal, generalized submaximal, and hyperconnected spaces in generalized metric spaces.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141371614","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}
Pub Date : 2024-06-07DOI: 10.28924/2291-8639-22-2024-98
Maryam G. Alshehri, A. Bartwal, Shivam Rawat, Junaid Ahmad, Neelanjana Rajput
This paper suggests some coincidence and fixed point theorems based on the Z family functions for set valued mappings. After that, we provide the concept of Z∗ family of functions, and prove some coincidence and fixed points results for strongly demicompact mappings in fuzzy metric space. We also suggest some examples to support our results. Eventually, we give the existence and uniqueness of a solution for a functional equation involved in a dynamic programming. Our results are novel and suggest a new direction to researchers who working in the theory of coincidence and fixed point.
本文基于集合值映射的 Z 族函数，提出了一些重合和定点定理。然后，我们提供了函数 Z∗ 族的概念，并证明了模糊度量空间中强半紧密映射的一些重合和定点结果。我们还提出了一些例子来支持我们的结果。最后，我们给出了动态编程中涉及的函数方程的解的存在性和唯一性。我们的结果很新颖，为从事重合与定点理论研究的人员提供了一个新方向。
{"title":"Some Novel Coincidence and Fixed Point Results Based on Z Family of Functions in Fuzzy Metrics","authors":"Maryam G. Alshehri, A. Bartwal, Shivam Rawat, Junaid Ahmad, Neelanjana Rajput","doi":"10.28924/2291-8639-22-2024-98","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-98","url":null,"abstract":"This paper suggests some coincidence and fixed point theorems based on the Z family functions for set valued mappings. After that, we provide the concept of Z∗ family of functions, and prove some coincidence and fixed points results for strongly demicompact mappings in fuzzy metric space. We also suggest some examples to support our results. Eventually, we give the existence and uniqueness of a solution for a functional equation involved in a dynamic programming. Our results are novel and suggest a new direction to researchers who working in the theory of coincidence and fixed point.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141372115","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}
Pub Date : 2024-05-20DOI: 10.28924/2291-8639-22-2024-80
H. Hammad, M. De La Sen
The vital goals of this manuscript are to combine metric-like spaces with S-metric spaces under a control function to obtain a new space called the controlled S-metric-like spaces (CSMLSs, for short). Under this name, many fixed-point (FP) results have been obtained for multi-valued mappings (MVMs). In addition, we present several non-trivial examples to back up our statements. The results obtained generalize and unify many results in the same direction. Finally, to support and test the adequacy of the theoretical results, the existence of the solution to the differential inclusion problem (DIP) was studied as a type of application.
{"title":"Fixed-Point Approaches for Multi-Valued Contraction Mappings in a Novel Space With an Application","authors":"H. Hammad, M. De La Sen","doi":"10.28924/2291-8639-22-2024-80","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-80","url":null,"abstract":"The vital goals of this manuscript are to combine metric-like spaces with S-metric spaces under a control function to obtain a new space called the controlled S-metric-like spaces (CSMLSs, for short). Under this name, many fixed-point (FP) results have been obtained for multi-valued mappings (MVMs). In addition, we present several non-trivial examples to back up our statements. The results obtained generalize and unify many results in the same direction. Finally, to support and test the adequacy of the theoretical results, the existence of the solution to the differential inclusion problem (DIP) was studied as a type of application.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141122130","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}
Pub Date : 2024-05-20DOI: 10.28924/2291-8639-22-2024-86
Hanan Almuashi
In this article, we discuss a mathematical system modelling Chikungunya virus dynamics in a seasonal environment with general incidence rates. We establish the existence, uniqueness, positivity and boundedness of a periodic orbit. We show that the global dynamics is determined using the basic reproduction number denoted by R0 and calculated using the spectral radius of a linear integral operator. We show the global stability of the disease free periodic solution if R0<1 and we show also the persistence of the disease if R0>1 where the trajectories converge to a periodic orbit. Finally, we display some numerical examples confirming the theoretical findings.
{"title":"Mathematical Analysis for the Influence of Seasonality on Chikungunya Virus Dynamics","authors":"Hanan Almuashi","doi":"10.28924/2291-8639-22-2024-86","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-86","url":null,"abstract":"In this article, we discuss a mathematical system modelling Chikungunya virus dynamics in a seasonal environment with general incidence rates. We establish the existence, uniqueness, positivity and boundedness of a periodic orbit. We show that the global dynamics is determined using the basic reproduction number denoted by R0 and calculated using the spectral radius of a linear integral operator. We show the global stability of the disease free periodic solution if R0<1 and we show also the persistence of the disease if R0>1 where the trajectories converge to a periodic orbit. Finally, we display some numerical examples confirming the theoretical findings.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141122667","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}
Pub Date : 2024-05-20DOI: 10.28924/2291-8639-22-2024-85
A. Zaghdani
In this paper, a new augmented mixed DG formulation for the numerical approximation of the electrostatic field was introduced and studied. Its error analysis was carried out and an optimal error estimates as a function of the mesh size was obtained. Some numerical tests confirming the theoretical convergence were given.
{"title":"An Augmented Mixed DG Scheme for the Electric Field","authors":"A. Zaghdani","doi":"10.28924/2291-8639-22-2024-85","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-85","url":null,"abstract":"In this paper, a new augmented mixed DG formulation for the numerical approximation of the electrostatic field was introduced and studied. Its error analysis was carried out and an optimal error estimates as a function of the mesh size was obtained. Some numerical tests confirming the theoretical convergence were given.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141123407","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}
Pub Date : 2024-05-20DOI: 10.28924/2291-8639-22-2024-84
A. A. Alshejari, M. A. Noor, K. I. Noor
In this paper, we present a number of new and known numerical techniques for solving general quasi variational inequalities, introduced by Noor [34] in 1988, using various techniques including projection, Wiener-Hopf equations, auxiliary principle, dynamical systems coupled with finite difference approach and sensitivity analysis. Convergence analysis of these methods is investigated under suitable conditions. Sensitivity analysis is also investigated. Some special cases are discussed as applications of the main results. Several open problems are suggested for future research.
在本文中，我们介绍了一些用于求解一般准变分不等式的新的和已知的数值技术，这些技术由 Noor [34] 在 1988 年引入，使用了各种技术，包括投影、维纳-霍普夫方程、辅助原理、动态系统与有限差分方法和灵敏度分析。研究了这些方法在适当条件下的收敛分析。还研究了灵敏度分析。作为主要结果的应用，还讨论了一些特殊情况。还为今后的研究提出了几个有待解决的问题。
{"title":"Recent Developments in General Quasi Variational Inequalities","authors":"A. A. Alshejari, M. A. Noor, K. I. Noor","doi":"10.28924/2291-8639-22-2024-84","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-84","url":null,"abstract":"In this paper, we present a number of new and known numerical techniques for solving general quasi variational inequalities, introduced by Noor [34] in 1988, using various techniques including projection, Wiener-Hopf equations, auxiliary principle, dynamical systems coupled with finite difference approach and sensitivity analysis. Convergence analysis of these methods is investigated under suitable conditions. Sensitivity analysis is also investigated. Some special cases are discussed as applications of the main results. Several open problems are suggested for future research.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141120735","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}
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