International Journal of Mathematics and Mathematical Sciences
 Journal metrics
Acceptance rate12%
Submission to final decision38 days
Acceptance to publication29 days
CiteScore1.100
Journal Citation Indicator-
Impact Factor-

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International Journal of Mathematics and Mathematical Sciences has recently been accepted into Web of Science.

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 Journal profile

International Journal of Mathematics and Mathematical Sciences publishes research across all fields of mathematics and mathematical sciences, such as pure and applied mathematics, mathematical physics, probability and mathematical statistics.

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International Journal of Mathematics and Mathematical Sciences maintains an Editorial Board of practicing researchers from around the world, to ensure manuscripts are handled by editors who are experts in the field of study.

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Research Article

A Mathematical Model for the Growth Dynamics of Demand in the Fashion Industry within the Era of the COVID-19 Pandemic

The outbreak of COVID-19 infection and its effects have not spared any economy on the globe. The fourth variant has just announced its appearance with its high death toll and impact on economic activities. The basic reproductive number , which measures the transmission potential of an infectious disease, is extremely important in the study of epidemiology. The main purpose of this study was to derive and assess the stability of the model around its equilibrium points. The motivation was to simulate the effect of COVID-19 on the demand for fashion products and how its application has impacted the COVID-19 pandemic. A five-compartment susceptible-infection-recovery-susceptible-based model was formulated in an integrated environment with application of fashion-based personal protective equipment (FPPEs) and government policy regulation, using ordinary differential equations. Solution techniques included a mix of qualitative analysis and simulations with data from various publications on COVID-19. The study revealed that the disease-free equilibrium was both locally and globally asymptotically stable (LAS and GAS) for , while the disease-endemic equilibrium was both LAS and GAS for . As the demand for FPPEs increases, decreases, and vice versa. The sensitivity analysis indicated that was very sensitive to the rate of application of FPPEs. This confirms the significance of high demand for FPPEs in reducing the transmission of COVID-19 infection. Again, the pandemic has had both positive and negative impacts on the demand for fashion products; however, the negative impact outweighed the positive impact. Another discovery was that government policy stringency was significant in increasing demand for FPPEs. The sensitivity analyses suggested prioritization of FPPEs application together with all recommended PPEs. We recommend inter alia that FPPEs be used together with other nonpharmaceutical interventions. Operators in the fashion industry must be dynamic in adjusting to the new trends of taste for fashion products. Finally, governments should maintain high policy stringency.

Research Article

Controlled Frame for Operator in Hilbert c-Modules

In this study, we will introduce a new concept, which is a controlled -operator frame for the space of all adjointable operators on a Hilbert -module which denoted , where is a -algebra. Also, we establish some results of the controlled -operator frame in . The presented results are new and of interest for people working in this area. Some illustrative examples are provided to advocate the usability of our results.

Review Article

A Survey on Public Key Encryption with Keyword Search: Taxonomy and Methods

Given the many benefits that cloud computing brings, organizations tend to outsource most of their data to reduce a large portion of their costs, but concern about the privacy of data is a major obstacle to outsourcing sensitive data. To solve this problem, public key encryption with keyword search (PEKS) is suggested, which is a widely used method. Addressing this issue separately is beneficial because PEKS does not require a secure communication channel and key distribution. Therefore, at first glance, it seems that PEKS schemes should be used more in practical applications. Thus, reviewing and categorizing PEKS schemes are very important and necessary. In this article, we have tried to help reviewing the public key searchable encryption and categorizing these designs.

Research Article

A New Generalized Fractional-Order Derivative and Bifurcation Analysis of Cholera and Human Immunodeficiency Co-Infection Dynamic Transmission

In this study, the co-infection of HIV and cholera model has been developed and analyzed. The new fractional-order derivative is applied and the behavior of the solution is interpreted. The order of new generalized fractional-order derivative implication is presented. A new method is incorporated to determine the forward bifurcation at a threshold . The developed method is used to determine the stability of steady-state points. The full model and the submodels’ disease-free equilibrium are locally asymptotically stable if the corresponding reproduction number is less than one and unstable if the production number is greater than one. The only HIV model exhibits forward bifurcation at the threshold point, . The numerical simulations solutions obtained using a new generalized fractional-order derivative shows that the total human population size approaches the disease-free equilibrium if the order of the fractional derivative is higher. Also, the simulated results show that the memory effects toward the invading disease are less whenever the order of the fractional derivative is near 0 but higher whenever the order of the fractional derivative is near 1. Furthermore, V. cholerae concentration in the environment increases whenever the intrinsic growth rate increases. The numerical solutions are carried out using MATLAB software.

Research Article

Generalized Mandelbrot Sets of a Family of Polynomials

In this paper, we study the general Mandelbrot set of the family of polynomials , denoted by GM(). We construct the general Mandelbrot set for these polynomials by the escaping method. We determine the boundaries, areas, fractals, and symmetry of the previous polynomials. On the other hand, we study some topological properties of . We prove that is bounded and closed; hence, it is compact. Also, we characterize the general Mandelbrot set as a union of basins of attraction. Finally, we make a comparison between the properties of famous Mandelbrot set and our general Mandelbrot sets.

Research Article

Biharmonic Curves in a Strict Walker 3-Manifold

In this paper, we study the geometry of biharmonic curves in a strict Walker 3-manifold and we obtain explicit parametric equations for biharmonic curves and time-like biharmonic curves, respectively. We discuss the conditions for a speed curve to be a slant helix in a Walker manifold. We give an example of biharmonic curve for illustrating the main result.

International Journal of Mathematics and Mathematical Sciences
 Journal metrics
Acceptance rate12%
Submission to final decision38 days
Acceptance to publication29 days
CiteScore1.100
Journal Citation Indicator-
Impact Factor-
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.