Abdulkareem Afolabi Ibrahim, Jibril H. Mbaya, Dahiru Alhaji Bala Birnintsaba, Baba Gimba Alhassan
{"title":"Deterministic Model and Analysis of Fuel Subsidy in Nigeria Commodity Market Dynamics","authors":"Abdulkareem Afolabi Ibrahim, Jibril H. Mbaya, Dahiru Alhaji Bala Birnintsaba, Baba Gimba Alhassan","doi":"10.48185/jmam.v4i2.840","DOIUrl":"https://doi.org/10.48185/jmam.v4i2.840","url":null,"abstract":"The Nigerian populace’s anxieties, pessimism, and optimism over removing fuel subsidies have broughteconomic tension. The conflicting views are centered on the overbearing effect of subsidy removal on the costof living and the commodity market. The federal government has hinged the decision on the excessive revenueleakages due to the huge subsidy and the need to re-channel the subsidy fund to more developmental projectsimpacting the Nigerian economy’s growth. Trade union and civil society hinge their opposition to the removalof fuel subsidies based on their overbearing effect on the livelihood of citizens in terms of the subsidy-inducedhigh cost of living and production. In light of this commotion, there is a need to study Nigeria’s fuel subsidy,consumer purchasing power, and commodity market dynamics using mathematical modeling and analysis.This paper proposes a deterministic model to study the dynamics of fuel subsidy, consumer purchasing power,oil-pirating groups, and commodity markets. To gain insight into the impact of oil leaks on the government oilrevenue, the time delay is used to depict the oil theft control by the Nigerian government. Analytically, threesteady-states, namely subsidy-free, pirate-free, and critical steady-states, are obtained, and the conditionsfor their existence are determined and analyzed. The findings of this work highlight veritable conditions foracceptable implementation of these states. The analytical results were numerically verified, and the dynamicsunder these states were demonstrated graphically. The work further recommends the conditions for theacceptable implementation of fuel subsidy removal and the blockage of oil thefts.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":" 40","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139142762","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":"Some classes of open sets in topological spaces by using ω−openness property","authors":"Suliman Dawood","doi":"10.48185/jmam.v4i2.936","DOIUrl":"https://doi.org/10.48185/jmam.v4i2.936","url":null,"abstract":"By using ω−open sets in this work, we introduce and study some new classes of open sets in topologicalspaces that are finer than those of open sets. The continuity via these classes will be introduced and studied.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":" 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139144760","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}
Jeyaraman Mathuraiveeran, R. P. Selvi, D. Poovaragavan
{"title":"Common Fixed Point Theorems In Anti Fuzzy Metric Spaces","authors":"Jeyaraman Mathuraiveeran, R. P. Selvi, D. Poovaragavan","doi":"10.48185/jmam.v4i1.664","DOIUrl":"https://doi.org/10.48185/jmam.v4i1.664","url":null,"abstract":"This article introduces the innovative concept of anti-fuzzy metric spaces and utilizes the property (E.A.) and Common limit range property of $mathfrak{Q}$, we demonstrate the existence and uniqueness of a common fixed point in symmetric anti fuzzy metric spaces in this study. We discuss some novel ideas for a few mappings named R-weakly commuting of type $(mathfrak{mathfrak{J_P}})$ and weakly commuting of type $(mathfrak{mathfrak{J_P}})$ on an anti fuzzy metric space.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"124 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139342016","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":"Mathematical Model for Malaria Disease Transmission","authors":"Mohamed Salah Alhaj","doi":"10.48185/jmam.v4i1.688","DOIUrl":"https://doi.org/10.48185/jmam.v4i1.688","url":null,"abstract":"Malaria is one of the fatal diseases caused by plasmodium parasites and transmitted to humans through biting of the female of {it Anopheles} mosquitoes. We proposed a deterministic mathematical model for simulating Malaria disease transmission between humans and mosquitoes. The basic reproduction number $mathcal{R}_{0}$ is determined by using the next-generation matrix approach. Stability conditions for the model equilibrium points with respect to $mathcal{R}_{0}$ derived and we show that the forward bifurcation occurred. When $mathcal{R}_{0} <1$ or $mathcal{R}_{0} >1$ the Malaria disease dies out or spreads, respectively. The sensitivity analysis for the basic reproduction number $mathcal{R}_{0}$ fulfilled locally and globally. The model simulation was found by using Runge--Kutta fourth order method in MATLAB. Furthermore, The effects of the important parameters were investigated, and the obtained results were presented in graphical forms. Also, we obtained that the simulation results agree with the stability analysis for $E_{def}$. We discussed the impacts of the Malaria disease control interventions on the important parameter for Malaria disease transmission. Recommendation for control and eradicating Malaria disease transmission provided.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139341918","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":"On Orthogonality of Elementary Operators in Normed Spaces","authors":"M. Orina, Benard Okelo, R. K. Obogi","doi":"10.48185/jmam.v4i1.505","DOIUrl":"https://doi.org/10.48185/jmam.v4i1.505","url":null,"abstract":"In this note, we give a detailed survey on characterization of orthogonality of elementary operators innormed spaces. In particular, we consider these operators when they are finite and unveil new conditionswhich are necessary and sufficient for their orthogonality. Lastly, we characterize Birkhoff-James orthogonal-ity for this class of operators.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139366460","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":"Mathematical Models on Forest Logging and Carbon sequestration","authors":"Yang Liu, Zige Huang","doi":"10.48185/jmam.v4i1.591","DOIUrl":"https://doi.org/10.48185/jmam.v4i1.591","url":null,"abstract":"Abstract. In this article, we analyze the relationship between carbon sequestration and the time of the forest and its products, and discuss which forest management plan is most effective in sequestering carbon dioxide. We show that moderate logging in forest management plans is a good decision. As long as the ratio between the two is balanced, appropriate logging can renew and rejuvenate forests, creating ecological and specific economic and social values.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"45 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139366550","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":"Stability Analysis of a Sterile Insect Technique Model for Controlling False Codling Moth","authors":"Ochwach Jimrise, M. Okongo, Moses Muraya","doi":"10.48185/jmam.v4i1.564","DOIUrl":"https://doi.org/10.48185/jmam.v4i1.564","url":null,"abstract":"Sterile insect techniques (SIT) are biological, non-polluting pest control methods used on farms. The release of false male codling moths (FCM) is used in this method to reduce the number of fertile female FCM in the farm population. In this study, a mathematical model that simulates the interaction between the susceptible host, the sterile male FCM population, and the wildFCM population is developed. The local and global stability analysis of the model is analysed and found to be asymptotically stable when Ro < 1. A threshold number of sterile FCM is determined above which the FCM control is effective. These theoretical results are reorganized in terms of possible strategies for the control of FCM and are numerically illustrated.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139366653","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}
R. O. Olanrewaju, S. Olanrewaju, Toyin Omoyeni Oguntola, Wasiu Adepoju
{"title":"Parametric Poisson Bifurcated Autoregressive Process: Application to Worldwide, Regional, and Peculiar Countries’ of Automobile Production","authors":"R. O. Olanrewaju, S. Olanrewaju, Toyin Omoyeni Oguntola, Wasiu Adepoju","doi":"10.48185/jmam.v4i1.764","DOIUrl":"https://doi.org/10.48185/jmam.v4i1.764","url":null,"abstract":"This article introduces Bifurcated Autoregressive (BAR) process with two apart marginal distribution error terms of w2 and w2+1 of Poisson white noises to make it Poisson Bifurcated Autoregressive (PBAR) in a parametric setting. The statistical definition of PBAR (1) process with parameters B1 and B2 that must be |B1 | and |B2 |<1 for stationary process was spelt-out. Weighted Least Squares (WLS) parameter estimation technique was adopted and the process limiting distribution was carried-out via the combination methods of martingale process and Lindeberg’s condition. Monthly automobile production in Japan, Outside Japan, America, USA, Europe, Asia, and China that approximately tantamount to worldwide, regional, and peculiar countries’ of automobile production was subjected to the PBAR process. In conclusion, Japan automobile production possessed the highest and largest error correlation (w2 , w2+1 ) of 0.6582 (65%) with first order PBAR, with B1Y(t/2) , such that B1=0.2228 of degenerated two major divisions of automobile production of Registrations and Mini-Vehicles with descendant of different brands (models).","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139366780","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":"Numerical solution of systems of fractional order integro-differential equations with a Tau method based on monic Laguerre polynomials","authors":"M. Masoud","doi":"10.48185/jmam.v3i2.629","DOIUrl":"https://doi.org/10.48185/jmam.v3i2.629","url":null,"abstract":"In this paper, numerical technique based on monic Laguerre polynomials is proposed to obtain approximate solutions of initial value problems for systems of fractional order integro-differential equations (FIDEs). Operational fractional integral matrix is constructed. This operational matrix is applied together with the monic Laguerre Tau method to solve systems of FIDEs. This systems of FIDEs will be transformed into a system of algebraic equations which can be solved easily. Numerical results and comparisons with other methods are also presented to show the efficiency and applicability of the proposed method.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122681850","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":"Positivity results on the solutions for nonlinear two-term boundary value problem involving the $psi$-Caputo fractional derivative","authors":"Brahim Tellab","doi":"10.48185/jmam.v3i2.523","DOIUrl":"https://doi.org/10.48185/jmam.v3i2.523","url":null,"abstract":"In this work, we investigated a nonlinear two-term boundary value problem involving the $psi$-Caputo fractional derivative with integral boundary conditions. By a construction of its associated Green function and application of the upper and lower solutions method together with some fixed point theorems due to Banach and Schauder, we established the existence and uniqueness of positive solutions of our considered main problem. At the end some illustrative examples are provided to validate our theoretical results.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121366003","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}