Pub Date : 2022-10-31DOI: 10.52280/pujm.2022.541002
Syed Ghoos Ali Shah, S. Hussain, F. M. Sakar, A. Rasheed, M. Naeem
In this present paper, we introduce and explore certain new classes of uniformly convex and starlike functions related with Liu-Owa integral operator. We study explore various properties and characteristics, such as coefficient estimates, growth rate function property and partial sums. It is important to mention that our results are generalization of number of existing results in literature.
{"title":"Uniformly convex and starlike functions related with Liu-Owa integral operator","authors":"Syed Ghoos Ali Shah, S. Hussain, F. M. Sakar, A. Rasheed, M. Naeem","doi":"10.52280/pujm.2022.541002","DOIUrl":"https://doi.org/10.52280/pujm.2022.541002","url":null,"abstract":"In this present paper, we introduce and explore certain new classes of uniformly convex and starlike functions related with Liu-Owa integral operator. We study explore various properties and characteristics, such as coefficient estimates, growth rate function property and partial sums. It is important to mention that our results are generalization of\u0000number of existing results in literature.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132837162","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 : 2022-10-31DOI: 10.52280/pujm.2022.541001
F. Safdar, Muhammad Attique
The main aim of this investigation is to establish the weighted Simpson-like type identity and related variants for a mapping for which the power of the absolute of the first derivative is s-preinvex. By considering this identity, numerous novel weighted Simpson’s like type and related estimation type results for bounded first order differentiable functions are apprehended. Several notable results can be obtained as consequences for the suitable selection of n and ω. Meanwhile, the results are illustrated with two special functions involving modified Bessel function and q-digamma function to obtain the efficiency and supremacy of the proposed technique for many problems of wave propagation and static potentials.
{"title":"Extended weighted Simpson-like type inequalities for preinvex functions and their\u0000use in physical system","authors":"F. Safdar, Muhammad Attique","doi":"10.52280/pujm.2022.541001","DOIUrl":"https://doi.org/10.52280/pujm.2022.541001","url":null,"abstract":"The main aim of this investigation is to establish the weighted Simpson-like type identity and related variants for a mapping for which the power of the absolute of the first derivative is s-preinvex. By considering this identity, numerous novel weighted Simpson’s like type and related estimation type results for bounded first order differentiable functions are apprehended. Several notable results can be obtained as consequences for the suitable selection of n and ω. Meanwhile, the results are illustrated with two special functions involving modified Bessel function and q-digamma function to obtain the efficiency and supremacy of the proposed technique for many problems of wave propagation and static potentials.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128315860","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 : 2022-10-31DOI: 10.52280/pujm.2022.541003
Umair Khalid Qureshi
This research paper has developed a numerical iterative method by using Simpson 3/8 rule for solving non-linear equations, which equations are studied in different sciences and engineering fields. The developed technique has quadratic converge. This paper reflects the idea and more better results from the work of the authors of [7-8]. Examples are given to show that the proposed iterative method is better than compared methods. Our developed method is compared with the Newton Raphson method and the Trapezoidal method. C++/MATLAB was used to compute the numerical results. It can be observed from the results that the simpson iterative method is better than the Newton Raphson method, and the Trapezoidal method in terms of iteration and accuracy perception.
{"title":"Implementation of Numerical Integration Simpson 3/8 Rule to Develop a\u0000Numerical Simpson Iterative Method for Solving Non-Linear Equations","authors":"Umair Khalid Qureshi","doi":"10.52280/pujm.2022.541003","DOIUrl":"https://doi.org/10.52280/pujm.2022.541003","url":null,"abstract":"This research paper has developed a numerical iterative method by using Simpson 3/8 rule for solving non-linear equations, which equations are studied in different sciences and engineering fields. The developed technique has quadratic converge. This paper reflects the idea and more better results from the work of the authors of [7-8]. Examples are\u0000given to show that the proposed iterative method is better than compared methods. Our developed method is compared with the Newton Raphson method and the Trapezoidal method. C++/MATLAB was used to compute the numerical results. It can be observed from the results that the simpson iterative method is better than the Newton Raphson method, and the Trapezoidal method in terms of iteration and accuracy perception.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122307625","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 : 2022-09-30DOI: 10.52280/pujm.2022.540903
M. Saeed, Sheikh Zain Majid
Multicriteria decision-making techniques have been used widely in intelligent decision support systems for many executive decisions. Nongovernment organizations (NGOs), Non-Profitable Organizations (NPOs), and privileged persons employ survey methods to obtain deserving people’s data for charity donations under United Nations poverty alleviation initiatives, for example, financial assistance. They collect data manually or semi-automated, then narrow down the list of deserving recipients based on specific criteria. That usually results in a list of recipients who either don’t deserve it or, if they do, aren’t the perfect fit. Furthermore, the final recommendations of NGOs and NPOs partially address the poverty disparity and position all of them are on same level, resulting in the less justified distribution of charity. Due to the simultaneous evaluation of several characteristics. This paper formulates the problem of distributing funds to deserving peoples as a multicriteria decision-making problem to address these concerns. A Multipolar Interval-Valued Neutrosophic Soft Set (mIVNS) is used to address the issue of selecting suitable candidates for financial aid and distribution of funds. To implement the proposed methodology, a sample of 5 distinct deserving attributes is considered according to their intensity of poverty gap for allocation of funds. By using distance-based similarity measures, the technique of mIVNS sets has been used to select candidates and distribute funds. This methodology supports the management of NPOs and NGOs, and privileged individuals to disburse financial aid in deserving families according to their needs better.
{"title":"Development of Hybrid Model for Donations to Deserving Donees Using Multi-Polar\u0000Interval-Valued Neutrosophic Soft Set","authors":"M. Saeed, Sheikh Zain Majid","doi":"10.52280/pujm.2022.540903","DOIUrl":"https://doi.org/10.52280/pujm.2022.540903","url":null,"abstract":"Multicriteria decision-making techniques have been used widely in intelligent decision support systems for many executive decisions. Nongovernment organizations (NGOs), Non-Profitable Organizations (NPOs), and privileged persons employ survey methods to obtain deserving people’s data for charity donations under United Nations poverty alleviation initiatives, for example, financial assistance. They collect data manually or\u0000semi-automated, then narrow down the list of deserving recipients based on specific criteria. That usually results in a list of recipients who either don’t deserve it or, if they do, aren’t the perfect fit. Furthermore, the final recommendations of NGOs and NPOs partially address the poverty disparity and position all of them are on same level, resulting in the less justified distribution of charity. Due to the simultaneous evaluation of several characteristics. This paper formulates the problem of distributing funds to deserving peoples as a multicriteria decision-making problem to address these concerns. A Multipolar Interval-Valued Neutrosophic Soft Set (mIVNS) is used to address the issue of selecting suitable candidates for financial aid and distribution of funds. To implement the proposed methodology, a sample of 5 distinct deserving attributes is considered according to their intensity of poverty gap for allocation of funds. By using\u0000distance-based similarity measures, the technique of mIVNS sets has been\u0000used to select candidates and distribute funds. This methodology supports\u0000the management of NPOs and NGOs, and privileged individuals to disburse\u0000financial aid in deserving families according to their needs better.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122952906","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 : 2022-09-30DOI: 10.52280/pujm.2022.540904
M. F. Tabassum, M. Farman, A. Akgul, Sanagou Akram
In human life, the forest plays an important role in safeguarding trees against disease infection. The pine wilt disease is one of the big threats for the forest and the environment. Optimum control theory is about discovering a complex system control rule over a period of time. In this paper Evolutionary Pad¶e Approximation (EPA) scheme has been implemented for the treatment of non-linear pine wilt disease model. Evolutionary Pad¶e Approximation scheme transforms the nonlinear pine wilt disease model into optimization problem. Initial conditions are converted into problem constraints and then constraint problem is converted into unconstraint problem by using penalty function. Sufficient parameter settings for EPA have been implemented. The simulations are numerical solutions of the model of pine wilt disease by solving the proven problem of optimization. It is also determined the threshold value for the fundamental reproductive number and the endemic disease balance point of the model. Evolutionary Pad¶e Approximation has provided convergence solution regarding relationship among the different population compartments for diseases equilibrium, it has been observed that the results EPA scheme are more reliable and significant when a comparison is drawn with Non-Standard Finite Difference (NSFD) numerical scheme. Finally, EPA scheme reduces the infected rates very fast. Further, in a strong contrast to NFSD, this technique has eliminated the need to provide step size.
{"title":"Mathematical Treatment of Nonlinear Pine Wilt Disease Model: An Evolutionary Approach","authors":"M. F. Tabassum, M. Farman, A. Akgul, Sanagou Akram","doi":"10.52280/pujm.2022.540904","DOIUrl":"https://doi.org/10.52280/pujm.2022.540904","url":null,"abstract":"In human life, the forest plays an important role in safeguarding trees against disease infection. The pine wilt disease is one of the big threats for the forest and the environment. Optimum control theory is about discovering a complex system control rule over a period of time. In this paper Evolutionary Pad¶e Approximation (EPA) scheme has been implemented for the treatment of non-linear pine wilt disease model.\u0000Evolutionary Pad¶e Approximation scheme transforms the nonlinear pine wilt disease model into optimization problem. Initial conditions are converted into problem constraints and then constraint problem is converted into unconstraint problem by using penalty function. Sufficient parameter settings for EPA have been implemented. The simulations are numerical solutions of the model of pine wilt disease by solving the proven problem of optimization. It is also determined the threshold value for the fundamental reproductive number and the endemic disease balance point of\u0000the model. Evolutionary Pad¶e Approximation has provided convergence\u0000solution regarding relationship among the different population compartments\u0000for diseases equilibrium, it has been observed that the results EPA\u0000scheme are more reliable and significant when a comparison is drawn with Non-Standard Finite Difference (NSFD) numerical scheme. Finally, EPA\u0000scheme reduces the infected rates very fast. Further, in a strong contrast\u0000to NFSD, this technique has eliminated the need to provide step size.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134206202","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 : 2022-09-29DOI: 10.52280/pujm.2022.540901
Ram Dayal Pankaj
:The proposed analytical approach is a sophisticated grouping of Elzaki Transform and Homotopy Analysis Method (HAM), called Homotopy Analysis Elzaki Transform (HAET) method, for solving Non-linear Wave System which is combination of two wave equations (Telegraph and Klein Gordon (K-G) Type Equations). This study will be exemplifying to well-becoming character of HAET method. The obtained solution is graphically sketched.
提出的解析方法是Elzaki变换和同伦分析方法(HAM)的一种复杂组合，称为同伦分析Elzaki变换(HAET)方法，用于求解由两个波动方程(Telegraph和Klein Gordon (K-G)型方程)组成的非线性波动系统。本研究将举例说明HAET方法的福祉特性。得到的解用图形表示出来。
{"title":"New Analytical Method and Application for Solve the Nonlinear Wave Equation","authors":"Ram Dayal Pankaj","doi":"10.52280/pujm.2022.540901","DOIUrl":"https://doi.org/10.52280/pujm.2022.540901","url":null,"abstract":":The proposed analytical approach is a sophisticated grouping of Elzaki Transform and Homotopy Analysis Method (HAM), called Homotopy Analysis Elzaki Transform (HAET) method, for solving Non-linear Wave System which is combination of two wave equations (Telegraph and Klein Gordon (K-G) Type Equations). This study will be exemplifying\u0000to well-becoming character of HAET method. The obtained solution is\u0000graphically sketched.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123161366","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 : 2022-09-29DOI: 10.52280/pujm.2022.540902
S. Anjalmose, J. Aruldoss
In this paper, we have worked on fuzzy vertex coloring and fuzzy edge coloring for neighbourly irregular chemical graph GNIC and its complement graph ~G NIC: Also derived line graphs L(GNIC) of neighbourly irregular chemical graph and line graph of complement neighbourly irregular chemical graph (L(~G NIC)): Using fuzzy edge coloring, we have find chromatic index for »(GNIFC); irregular chromatic index »ir(GNIFC) also for »irL(GNIFC) and »irL(~G NIFC): We have given the required propositions with the required examples for each. And we fund strength of the »L(GNIFC) = (N;W); and the colors.
{"title":"Chromatic Index and Line graphs of Neighbourly Irregular Fuzzy Chemical Graphs(GNIF C ) among s-block and p-block elements","authors":"S. Anjalmose, J. Aruldoss","doi":"10.52280/pujm.2022.540902","DOIUrl":"https://doi.org/10.52280/pujm.2022.540902","url":null,"abstract":"In this paper, we have worked on fuzzy vertex coloring and fuzzy edge coloring for neighbourly irregular chemical graph GNIC and its complement graph ~G\u0000NIC: Also derived line graphs L(GNIC) of neighbourly irregular chemical graph and line graph of complement neighbourly irregular chemical graph (L(~G\u0000NIC)): Using fuzzy edge coloring, we have find chromatic index for »(GNIFC); irregular chromatic index »ir(GNIFC) also for »irL(GNIFC) and »irL(~G\u0000NIFC): We have given the required propositions with the required examples for each. And we fund strength of the »L(GNIFC) = (N;W); and the colors.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114625420","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 : 2022-08-31DOI: 10.52280/pujm.2022.540803
A. Zehra, Sarwar Abbas
The educational strategies have changed in Pakistan due to COVID-19. This epidemic covers almost 204 countries and territories all over the world and on 11th March 2020, WHO declared this outbreak as a pandemic. Pakistan has become one of the two hundred and four countries over the world has stopped their educational activities and closed their institutions for unspecified d uration. As we know that spring semester was started in the month of January in Pakistani universities, and had covered almost half path of its journey. In this situation, HEC (Higher Education Commission) announced that universities must convert educational activities in hybrid teaching mode and start online teaching. We made a case study on the Learning Management System (LMS), Campus management System, and WhatsApp etc. Apply these tools on private sector engineering university where two hundred and fifty students enrolled in different mathematics courses. The outcome of this study shows that quick switching to the online education system was little bit difficult but successful. Though in the beginning, there were some problems for teachers and students both but overall the experience was good. Government of Pakistan will reopen the education institute in the month of September and in these days we are quite close to resume educational activities as per the regular practice. The aim of this study is to support to continue the hybrid teaching mode at tertiary level in the regular teaching practice specifically of Mathematics courses. In hybrid teaching mode, the ratio of face to face teaching is seventy percent and online tools and teaching strategies used thirty percent. This method of teaching and learning keep students connected with their teachers. Lastly, we suggest that there is still a room for betterment in LMS. The result of this study shows that students’ performance in mathematics class and exam has been improved by using different application, software and gadgets. E-learning teaching and learning method will be beneficial strategy.
{"title":"Hybrid Learning and Teaching in Mathematics Courses Due to COVID-19","authors":"A. Zehra, Sarwar Abbas","doi":"10.52280/pujm.2022.540803","DOIUrl":"https://doi.org/10.52280/pujm.2022.540803","url":null,"abstract":"The educational strategies have changed in Pakistan due to COVID-19. This epidemic covers almost 204 countries and territories all over the world and on 11th March 2020, WHO declared this outbreak as a pandemic. Pakistan has become one of the two hundred and four countries over the world has stopped their educational activities and closed their institutions for unspecified d uration. As we know that spring semester was\u0000started in the month of January in Pakistani universities, and had covered almost half path of its journey. In this situation, HEC (Higher Education Commission) announced that universities must convert educational activities in hybrid teaching mode and start online teaching. We made a case study on the Learning Management System (LMS), Campus management System, and WhatsApp etc. Apply these tools on private sector engineering university where two hundred and fifty students enrolled in different\u0000mathematics courses. The outcome of this study shows that quick switching to the online education system was little bit difficult but successful. Though in the beginning, there were some problems for teachers and students both but overall the experience was good. Government of Pakistan will reopen the education institute in the month of September and in these days we are quite close to resume educational activities as per the regular practice. The aim of this study is to support to continue the hybrid teaching\u0000mode at tertiary level in the regular teaching practice specifically of Mathematics courses. In hybrid teaching mode, the ratio of face to face teaching is seventy percent and online tools and teaching strategies used thirty percent. This method of teaching and learning keep students connected with their teachers. Lastly, we suggest that there is still a room for betterment in LMS. The result of this study shows that students’ performance in mathematics class and exam has been improved by using different\u0000application, software and gadgets. E-learning teaching and learning\u0000method will be beneficial strategy.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"90 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124589592","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 : 2022-08-31DOI: 10.52280/pujm.2022.540804
F. Bhatti, G. Hamedani, Azeem Ali, M. Ahmad
: We propose a new lifetime model derived from the T-X generator called the new family of Kies Burr XII (NFKBXII) distribution. The NFKBXII density function is symmetrical, right-skewed, left-skewed, J, reverse-J, U and exponential shaped. The NFKBXII model failure rates can be monotone and non-monotone in shapes depending on the selection of the parameters. To show the importance of the NFKBXII distribution, we establish various mathematical properties such as random number generator, moments, density functions of record values, reliability and characterizations. We address the maximum likelihood estimates (MLE) for the NFKBXII parameters. We estimate the precision of the maximum likelihood estimators via a simulation study. We consider an application to serum-reversal times to clarify the potentiality and utility of the NFKBXII model along with NKBXII, KMBXII, KBXII, NKL, KL, MBXII, MBIII, Weibull and inverse Weibull distributions. We apply goodness of fit statistics (GOFs), various model selection criteria, and graphical tools to examine the adequacy of the NFKBXII distribution.
我们提出了一个从T-X生成器衍生出来的新的生命周期模型，称为新家族的Kies Burr XII (NFKBXII)分布。NFKBXII密度函数具有对称性、右偏、左偏、J型、反J型、U型和指数型。根据参数的选择，NFKBXII模型的故障率可以是单调的，也可以是非单调的。为了显示NFKBXII分布的重要性，我们建立了各种数学性质，如随机数生成器、矩、记录值的密度函数、可靠性和表征。我们解决了NFKBXII参数的最大似然估计(MLE)。我们通过模拟研究估计了极大似然估计器的精度。我们考虑将其应用于血清逆转时间，以阐明NFKBXII模型以及NKBXII、KMBXII、KBXII、NKL、KL、MBXII、MBIII、威布尔分布和逆威布尔分布的潜力和效用。我们应用拟合优度统计(GOFs)、各种模型选择标准和图形工具来检查NFKBXII分布的充分性。
{"title":"ON THE NEW FAMILY OF KIES BURR XII DISTRIBUTION","authors":"F. Bhatti, G. Hamedani, Azeem Ali, M. Ahmad","doi":"10.52280/pujm.2022.540804","DOIUrl":"https://doi.org/10.52280/pujm.2022.540804","url":null,"abstract":": We propose a new lifetime model derived from the T-X generator called the new family of Kies Burr XII (NFKBXII) distribution. The NFKBXII density function is symmetrical, right-skewed, left-skewed, J, reverse-J, U and exponential shaped. The NFKBXII model failure rates can be monotone and non-monotone in shapes depending on the selection\u0000of the parameters. To show the importance of the NFKBXII distribution, we establish various mathematical properties such as random number generator, moments, density functions of record values, reliability and characterizations. We address the maximum likelihood estimates (MLE) for the NFKBXII parameters. We estimate the precision of the maximum likelihood estimators via a simulation study. We consider an application\u0000to serum-reversal times to clarify the potentiality and utility of the NFKBXII model along with NKBXII, KMBXII, KBXII, NKL, KL, MBXII, MBIII, Weibull and inverse Weibull distributions. We apply goodness of fit statistics (GOFs), various model selection criteria, and graphical tools to examine the adequacy of the NFKBXII distribution.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133809877","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 : 2022-08-31DOI: 10.52280/pujm.2022.540802
Aaqid Mohi-Ud Din Bhat, Ujwal Warbhe
The aim of this study is to formulate a multi-compartment mathematical model regarding the transmission and dynamics of HIV-AIDS. The model is formulated on the basis of a system of linear, ordinary differential equations and admits two locally and globally stable equilib-ria. Primarily, the existence and uniqueness of solution of the model are demonstrated which is then obtained analytically using the fundamental matrix method and eigenvalue approach. The obtained solution serves as the pedestal for studying the dynamics and spread of HIV-AIDS in gen-eral. Nevertheless, as an endorsement to the obtained results the simu-lations are also carried out with model outcomes being contrasted to the exact data of the disease in India.
{"title":"Eigenvalue method for the solution of multi-compartment model of HIV-AIDS\u0000transmission","authors":"Aaqid Mohi-Ud Din Bhat, Ujwal Warbhe","doi":"10.52280/pujm.2022.540802","DOIUrl":"https://doi.org/10.52280/pujm.2022.540802","url":null,"abstract":"The aim of this study is to formulate a multi-compartment mathematical model regarding the transmission and dynamics of HIV-AIDS. The model is formulated on the basis of a system of linear, ordinary differential equations and admits two locally and globally stable equilib-ria. Primarily, the existence and uniqueness of solution of the model are demonstrated which is then obtained analytically using the fundamental matrix method and eigenvalue approach. The obtained solution serves as the pedestal for studying the dynamics and spread of HIV-AIDS in gen-eral. Nevertheless, as an endorsement to the obtained results the simu-lations are also carried out with model outcomes being contrasted to the exact data of the disease in India.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124568900","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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