Pub Date : 2023-09-27DOI: 10.11648/j.pamj.20231205.11
Salama Hussien Ali Shalil, Sobhy Ahmed Ali El-Sheikh, Shehab El Dean Ali Kandil
This paper presents a comprehensive study on bi-ordered soft separation axioms applied to soft bitopological ordered spaces. The main focus of this research is to examine the properties, descriptions, and characteristics of these axioms. By exploring the relationships between these axioms and other properties of soft bitopological ordered spaces, this study expands our understanding of these spaces and their associated properties. Notably, significant findings are presented, establishing connections between the introduced bi-ordered axioms and properties such as soft bitopological and soft hereditary properties. The concepts of bi-ordered soft separation axioms, namely PSTi (resp. )−ordered spaces, (where i = 0, 1, 2), are introduced and illustrated through relevant examples. These examples help clarify the relationships among the axioms and enhance our comprehension of their significance. Furthermore, this paper investigates the distinctions among separation axioms in topological ordered spaces and provides examples of relevant attributes from the literature. The separation axioms discussed in this research demonstrate enhanced descriptive power in characterizing the properties of topological ordered spaces. In addition to the above, the paper introduces the concept of bi-ordered subspace and explores the property of hereditary in the context of soft bitopological ordered spaces. These additions further enrich the understanding and applicability of bi-ordered soft separation axioms.
{"title":"Separation Axioms in Soft Bitopological Ordered Spaces","authors":"Salama Hussien Ali Shalil, Sobhy Ahmed Ali El-Sheikh, Shehab El Dean Ali Kandil","doi":"10.11648/j.pamj.20231205.11","DOIUrl":"https://doi.org/10.11648/j.pamj.20231205.11","url":null,"abstract":"This paper presents a comprehensive study on bi-ordered soft separation axioms applied to soft bitopological ordered spaces. The main focus of this research is to examine the properties, descriptions, and characteristics of these axioms. By exploring the relationships between these axioms and other properties of soft bitopological ordered spaces, this study expands our understanding of these spaces and their associated properties. Notably, significant findings are presented, establishing connections between the introduced bi-ordered axioms and properties such as soft bitopological and soft hereditary properties. The concepts of bi-ordered soft separation axioms, namely <i>PSTi</i> (resp. <img width=\"100\" height=\"15\" src=\"http://article.sciencepublishinggroup.com/journal/141/1411369/image001.png\" />)−ordered spaces, (where <i>i</i> = 0, 1, 2), are introduced and illustrated through relevant examples. These examples help clarify the relationships among the axioms and enhance our comprehension of their significance. Furthermore, this paper investigates the distinctions among separation axioms in topological ordered spaces and provides examples of relevant attributes from the literature. The separation axioms discussed in this research demonstrate enhanced descriptive power in characterizing the properties of topological ordered spaces. In addition to the above, the paper introduces the concept of bi-ordered subspace and explores the property of hereditary in the context of soft bitopological ordered spaces. These additions further enrich the understanding and applicability of bi-ordered soft separation axioms.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":"105 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135579286","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}
In this study, we generalize both b-metric spaces and 2-metric spaces into a new class of generalized metric spaces that we call b2-metric spaces. Then, under various contractive circumstances in partially ordered spaces, we demonstrate a few fixed point theorems in b2-metric space. Many Mathematician gave the concept of b2 -metric spaces as a generalization of 2-metric space. The purpose of this research article to established some results of 2-metric space proved by the Arun Garg et al. in b2 -metric spaces and prove new results.
{"title":"Some Fixed Point Theorems on b&lt;sub&gt;2&lt;/sub&gt; - Metric Spaces","authors":"Bheem Singh Patel, Zaheer Kareem Ansari, Dharmendra Kumar, Arun Garg","doi":"10.11648/j.pamj.20231204.12","DOIUrl":"https://doi.org/10.11648/j.pamj.20231204.12","url":null,"abstract":"In this study, we generalize both b-metric spaces and 2-metric spaces into a new class of generalized metric spaces that we call b<sub>2</sub>-metric spaces. Then, under various contractive circumstances in partially ordered spaces, we demonstrate a few fixed point theorems in b<sub>2</sub>-metric space. Many Mathematician gave the concept of b<sub>2</sub> -metric spaces as a generalization of 2-metric space. The purpose of this research article to established some results of 2-metric space proved by the Arun Garg et al. in b<sub>2</sub> -metric spaces and prove new results.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":"105 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135579444","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 : 2023-09-25DOI: 10.11648/j.pamj.20231204.11
M. Y. Hamada, Tamer El-Azab, H. El-Metwally
This study investigates the dynamic properties of a discrete predator-prey model influenced by the Allee effect. Through rigorous analysis utilizing bifurcation theory and the center manifold theorem, we establish the stability of the system’s local equilibrium and reveal the intricate dynamical behaviors exhibited by the model, including period-doubling bifurcations at periods 2, 4, and 8, as well as the emergence of quasi-periodic orbits and chaotic sets. A notable finding is the significant role played by the parameter r in shaping the system’s behavior, as we identify a series of bifurcations, such as flip and Neimark-Sacker bifurcations, by systematically varying r while keeping other parameters fixed. These findings underscore the non-linear nature of the model and provide valuable insights into its complex dynamics. Our enhanced understanding of these bifurcations and resulting dynamical behaviors deepens our knowledge of the Allee effect’s implications for predator-prey models, contributing to our comprehension of population oscillations, stability transitions, and the emergence of chaotic dynamics in ecological systems under the Allee effect. Moreover, this study carries practical implications for population management and conservation strategies, as incorporating the Allee effect into predator-prey interactions allows for better insights into population dynamics and the development of more effective and sustainable management practices. Overall, this comprehensive analysis of the discrete predator-prey model under the Allee effect uncovers intricate dynamical behaviors and emphasizes the influential role of the parameter r in shaping system dynamics, with implications for both theoretical understanding and practical conservation management strategies.
{"title":"Predator-Prey Interactions: Insights into Allee Effect Subject to Ricker Model","authors":"M. Y. Hamada, Tamer El-Azab, H. El-Metwally","doi":"10.11648/j.pamj.20231204.11","DOIUrl":"https://doi.org/10.11648/j.pamj.20231204.11","url":null,"abstract":"This study investigates the dynamic properties of a discrete predator-prey model influenced by the Allee effect. Through rigorous analysis utilizing bifurcation theory and the center manifold theorem, we establish the stability of the system’s local equilibrium and reveal the intricate dynamical behaviors exhibited by the model, including period-doubling bifurcations at periods 2, 4, and 8, as well as the emergence of quasi-periodic orbits and chaotic sets. A notable finding is the significant role played by the parameter <i>r</i> in shaping the system’s behavior, as we identify a series of bifurcations, such as flip and Neimark-Sacker bifurcations, by systematically varying <i>r</i> while keeping other parameters fixed. These findings underscore the non-linear nature of the model and provide valuable insights into its complex dynamics. Our enhanced understanding of these bifurcations and resulting dynamical behaviors deepens our knowledge of the Allee effect’s implications for predator-prey models, contributing to our comprehension of population oscillations, stability transitions, and the emergence of chaotic dynamics in ecological systems under the Allee effect. Moreover, this study carries practical implications for population management and conservation strategies, as incorporating the Allee effect into predator-prey interactions allows for better insights into population dynamics and the development of more effective and sustainable management practices. Overall, this comprehensive analysis of the discrete predator-prey model under the Allee effect uncovers intricate dynamical behaviors and emphasizes the influential role of the parameter <i>r</i> in shaping system dynamics, with implications for both theoretical understanding and practical conservation management strategies.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135865301","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}
{"title":"Implementation of the VMAVA Method in Order to Make Applications with a Large Number of Candidates and Voters","authors":"Koumbèbarè Kambiré, Zoïnabo Savadogo, Frédéric Nikiéma","doi":"10.11648/j.pamj.20231203.12","DOIUrl":"https://doi.org/10.11648/j.pamj.20231203.12","url":null,"abstract":"","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":"29 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82703503","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 : 2023-08-11DOI: 10.11648/j.pamj.20231203.11
Lina Niu, Rabigul Tuniyaz
{"title":"An Investigation of the Quantized Matrix Algebra <img width=\"50\" height=\"30\" src=\"http://article.sciencepublishinggroup.com/journal/141/1411366/image001.png\" /> from a Computational Viewpoint","authors":"Lina Niu, Rabigul Tuniyaz","doi":"10.11648/j.pamj.20231203.11","DOIUrl":"https://doi.org/10.11648/j.pamj.20231203.11","url":null,"abstract":"","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":"116 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76897257","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 : 2023-07-28DOI: 10.11648/j.pamj.20231202.12
Yanping Liu
: Tate local cohomology and Gorenstein local cohomology theory, which are important generalizations of the classical local cohomology, has been investigated. It has been found that they have such vanishing properties and long exact sequences. However, for local homology, what about the duality? In this paper we are concerned with Tate local homology and Gorenstein local homology. In the first part of the paper we generalize local homology as Tate local homology, and study such vanishing properties, artinianness and some exact sequence of Tate local homology modules. We find that for an artianian R -module M and a finitely generated R -module N with finite Gorenstein projective dimension, the Tate local homology module of M and N with respect to an ideal I is also an artinian module. In the second part of the paper we consider Gorenstein local homology modules as Gorenstein version. We discuss vanishing properties and some exact sequences of Gorenstein local homology modules and obtain an exact sequence connecting Gorenstein, Tate and generalized local homology. Finally, as an applicaton of the exact sequence connecting these local homology modules, we find that for finitely generated R -modules with finite projective dimension and admitting Gorenstein projective proper resolution respectively, Gorenstein local homology coincides with generalized local homology in certain cases.
{"title":"A Study of Some Generalizations of Local Homology","authors":"Yanping Liu","doi":"10.11648/j.pamj.20231202.12","DOIUrl":"https://doi.org/10.11648/j.pamj.20231202.12","url":null,"abstract":": Tate local cohomology and Gorenstein local cohomology theory, which are important generalizations of the classical local cohomology, has been investigated. It has been found that they have such vanishing properties and long exact sequences. However, for local homology, what about the duality? In this paper we are concerned with Tate local homology and Gorenstein local homology. In the first part of the paper we generalize local homology as Tate local homology, and study such vanishing properties, artinianness and some exact sequence of Tate local homology modules. We find that for an artianian R -module M and a finitely generated R -module N with finite Gorenstein projective dimension, the Tate local homology module of M and N with respect to an ideal I is also an artinian module. In the second part of the paper we consider Gorenstein local homology modules as Gorenstein version. We discuss vanishing properties and some exact sequences of Gorenstein local homology modules and obtain an exact sequence connecting Gorenstein, Tate and generalized local homology. Finally, as an applicaton of the exact sequence connecting these local homology modules, we find that for finitely generated R -modules with finite projective dimension and admitting Gorenstein projective proper resolution respectively, Gorenstein local homology coincides with generalized local homology in certain cases.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":"3 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91139889","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 : 2023-07-26DOI: 10.11648/j.pamj.20231202.11
F. Okwan, P. Kovács
{"title":"Examining the Causal Effect of Social Development on Maternal Mortality in Sub-Saharan Africa Using Partial Least Squares (PLS) Structural Equation Modeling (SEM)","authors":"F. Okwan, P. Kovács","doi":"10.11648/j.pamj.20231202.11","DOIUrl":"https://doi.org/10.11648/j.pamj.20231202.11","url":null,"abstract":"","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":"67 2 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79037963","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 : 2023-03-28DOI: 10.11648/j.pamj.20231201.13
Rogie E. Padernal
: This paper describes the effect of mnemonic aided instruction on the academic performance of maritime students in Calculus. Specifically, it aimed to determine the level of academic performance of students before and after the intervention when taken as a whole and in terms of the topic areas. Furthermore, it aimed to determine the significant difference between the level of academic performance before and after the intervention when taken as a whole and in terms of the topic areas (Derivative and Integral). A One-Group Pre-test Post-test Quasi-Experimental research design was used to assess the effect of mnemonic aided instruction on the academic performance of maritime students in calculus during the school year 2021-2022. The data were gathered using a researcher-made instrument in order to answer the study’s objectives, as reflected in the table of specifications prepared by the researcher, which had undergone validity and reliability testing. Thirty-four (34) maritime students participated in the study, considering they have complete attendance from the administration of test before intervention up to the administration of test after the intervention. The results showed that maritime students got low academic performance in calculus before the intervention and average level of academic performance in calculus after the intervention. This implied a favorable increase in students’ level of academic performance when taken as a whole and in terms of the topic areas after they are infused with mnemonic-aided instruction. Furthermore, the Wilcoxon Signed-Rank test results revealed a significant difference between the level of academic performance before and after the intervention when taken as a whole and in terms of the topic areas. From the results, this study emphasizes the need to consider the infusion of mnemonic-aided instruction to improve students’ learning through memory retention in calculus, specifically in the topic areas of derivative and integral.
{"title":"Effect of Mnemonic-Aided Instruction on Academic Performance of Maritime Students in Calculus","authors":"Rogie E. Padernal","doi":"10.11648/j.pamj.20231201.13","DOIUrl":"https://doi.org/10.11648/j.pamj.20231201.13","url":null,"abstract":": This paper describes the effect of mnemonic aided instruction on the academic performance of maritime students in Calculus. Specifically, it aimed to determine the level of academic performance of students before and after the intervention when taken as a whole and in terms of the topic areas. Furthermore, it aimed to determine the significant difference between the level of academic performance before and after the intervention when taken as a whole and in terms of the topic areas (Derivative and Integral). A One-Group Pre-test Post-test Quasi-Experimental research design was used to assess the effect of mnemonic aided instruction on the academic performance of maritime students in calculus during the school year 2021-2022. The data were gathered using a researcher-made instrument in order to answer the study’s objectives, as reflected in the table of specifications prepared by the researcher, which had undergone validity and reliability testing. Thirty-four (34) maritime students participated in the study, considering they have complete attendance from the administration of test before intervention up to the administration of test after the intervention. The results showed that maritime students got low academic performance in calculus before the intervention and average level of academic performance in calculus after the intervention. This implied a favorable increase in students’ level of academic performance when taken as a whole and in terms of the topic areas after they are infused with mnemonic-aided instruction. Furthermore, the Wilcoxon Signed-Rank test results revealed a significant difference between the level of academic performance before and after the intervention when taken as a whole and in terms of the topic areas. From the results, this study emphasizes the need to consider the infusion of mnemonic-aided instruction to improve students’ learning through memory retention in calculus, specifically in the topic areas of derivative and integral.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":"2 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76247112","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 : 2023-03-09DOI: 10.11648/j.pamj.20231201.12
Zoïnabo Savadogo, Sougoursi Jean Yves Zaré, Wambié Zongo, B. Somé
{"title":"New Voting Method Adapted to Developing Countries (NoMePaVD)","authors":"Zoïnabo Savadogo, Sougoursi Jean Yves Zaré, Wambié Zongo, B. Somé","doi":"10.11648/j.pamj.20231201.12","DOIUrl":"https://doi.org/10.11648/j.pamj.20231201.12","url":null,"abstract":"","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":"4 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85330726","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 : 2023-03-02DOI: 10.11648/j.pamj.20231201.11
Arouna Ouédraogo, Wendlassida Basile Yaméogo
: The objective of this paper is to show that the approximate solution, by the finite volumes method, converges to the renormalized solution of elliptic problems with measure data. The methods used are a priori estimates and density arguments. In the first part
{"title":"Finite Volume Scheme and Renormalized Solutions for a Noncoercive Elliptic Problem with Measure Data","authors":"Arouna Ouédraogo, Wendlassida Basile Yaméogo","doi":"10.11648/j.pamj.20231201.11","DOIUrl":"https://doi.org/10.11648/j.pamj.20231201.11","url":null,"abstract":": The objective of this paper is to show that the approximate solution, by the finite volumes method, converges to the renormalized solution of elliptic problems with measure data. The methods used are a priori estimates and density arguments. In the first part","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76419596","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}
)−ordered spaces, (where i = 0, 1, 2), are introduced and illustrated through relevant examples. These examples help clarify the relationships among the axioms and enhance our comprehension of their significance. Furthermore, this paper investigates the distinctions among separation axioms in topological ordered spaces and provides examples of relevant attributes from the literature. The separation axioms discussed in this research demonstrate enhanced descriptive power in characterizing the properties of topological ordered spaces. In addition to the above, the paper introduces the concept of bi-ordered subspace and explores the property of hereditary in the context of soft bitopological ordered spaces. These additions further enrich the understanding and applicability of bi-ordered soft separation axioms.
from a Computational Viewpoint
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