Description

Journal of AppliedMath (JAM, eISSN: 2972-4805) is an international, peer-reviewed open access journal that is dedicated to the publication of high-quality research in the field of mathematics. With a commitment to excellence and innovation, JAM provides a platform for mathematicians, scientists, and engineers to share their findings and insights across a broad spectrum of applied mathematical disciplines. It publishes various article types including Original Research Articles, Reviews, Editorials, and Perspectives. Our aim is to encourage scientists to publish their experimental and theoretical results in as much detail as possible. There is no restriction on the length of the papers. At JAM, we believe that thorough research deserves comprehensive presentation. Therefore, we require that the full account of the research be provided, enabling other researchers to reproduce the results. 

JAM is committed to advancing the frontiers of applied mathematics and looks forward to contributing to the global scientific discourse. 

Latest Articles

  • Open Access

    Article

    Article ID: 1767

    The Jacobsthal-Collatz-Terras model of conjecture the natural numbers in κq + 1 problems

    by Petro Kosobutskyy

    Journal of AppliedMath, Vol.3, No.2, 2025;

    In the work, the unity of the model in both directions of the change of the power of two of the conjecture of natural numbers structured in the form of a set parametrized by a set of odd θ sequences θ × 2 n is justified for the first time. It is shown that the graphs of the direct n(tst) → ∞ and reverse n 0 conjecture of numbers are correctly displayed by the branching diagram of the sequences oriented along the time axis of the full stop of Terrase. The distance between neighbouring nodes is shown to correlate with the Collatz function. The distance δm(p), κ = ακCκq±1 between adjacent nodes is shown to be correlated with the Collatz function. The obtained formula for calculating the period Tκ = ln2(1 + ακκ) according to the degree of formation of powers n. Based on the analysis of regularities of recurrent Jacobsthal numbers and Terras complete stop time, it is shown that the Collatz problem is a partial case of the general Jacobsthal-Collattz-Terrase model of the conjecture of numbers N in both directions of the change of the power of two. Based on this model, the formation of tst{q} sequences was established for numbers with the same lengths as the Collatz sequence CSq.

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  • Open Access

    Article

    Article ID: 2353

    Optimal control of dengue fever transmission dynamics in Kenya

    by Brian Nyanaro, George Kimathi, Mary Wainaina

    Journal of AppliedMath, Vol.3, No.2, 2025;

    The emergence of dengue fever in Kenya has been witnessed in the recent past, leading to public health alerts and disruption of economic activities. The outbreaks have mainly been restricted to the Northeastern and Coastal counties of the country. As such, this paper has focused on an epidemiological model that incorporates an optimal control model of the spread dynamics of dengue fever in Kenya. The objective of the study is to develop an optimal control solution for the spread dynamics of dengue fever in Kenya. This study introduced three time-dependent control variables, which were divided into long-term and short-term control measures. The short-term control measures include prophylactics (treatment) and the use of physical barriers (nets), while the long-term control measure is the treatment of Aedes aegypti mosquitoes with Wolbachia bacteria. The basic reproduction number with the control variables was determined. The set of adjoint points of the control systems was obtained together with the optimal control set. The numerical solutions to the control problem were obtained by use of the forward-backward sweep method and the Runge-Kutta order four method. The impact of utilizing various strategies that employed the combination of the three control measures in different combinations was examined. The control profile of the particular control measures used was also investigated. It was determined that the short-term control measures had more impact on the control of the spread dynamics of dengue fever when compared to the long-term control measure. As such, it was determined that a strategy that incorporates both the long-term and short-term control measures should be utilized for optimum control of dengue fever spread dynamics in Kenya.

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  • Open Access

    Article

    Article ID: 2324

    A new infinite series identities involving modified Bessel functions and Hermite polynomials

    by Mikhail Trifonov

    Journal of AppliedMath, Vol.3, No.1, 2025;

    Some new infinite series identities and their analogues—integral representations involving the modified Bessel functions of the first kind and the Hermite polynomials were obtained using a probabilistic approach.

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  • Open Access

    Article

    Article ID: 2492

    Perturbation theory of the adiabatic pressure-less rarefied-fluid axisymmetricaccretion objects

    by Orchidea Maria Lecian

    Journal of AppliedMath, Vol.3, No.1, 2025;

    Pressure-less rarefied-fluid axisymmetric accretion objects are studied. The inviscid case and the rarefied viscous case with constant azimuthal component of the four-velocity in the pressure-less regime are addressed. The new General-Relativistic radial velocity slip flows expressions are analytically written in both the instances.

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  • Open Access

    Article

    Article ID: 2388

    A note on Schur convexity for compositions of complete symmetric functions and new simple proofs

    by Huan-Nan Shi, Jing Zhang, Wei-Shih Du

    Journal of AppliedMath, Vol.3, No.1, 2025;

    In this work, by applying the properties of Schur-convex functions, Schur-geometrically convex functions and Schur-harmonically convex functions directly, we will provide more direct and simple proofs for compositions of complete symmetric functions.

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  • Open Access

    Article

    Article ID: 2285

    Wronskian representations of the solutions to the Burgers’ equation

    by Pierre Gaillard

    Journal of AppliedMath, Vol.3, No.1, 2025;

    A representation of the solutions to the Burgers’ equation by the Wronskiens is given. For this, we use particular polynomials and we obtain a very efficient method to construct solutions to this equation. We deduce rational solutions from the latter equation. We explicitly build solutions for first orders.

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