Applied and Computational Mathematics

Volume 11, Issue 5, October 2022

  • The Unified Format of Trapezoid and Parabola Quadrature Formula and Its Complex Formula

    Yuxin Zhou, Jun Zhang, Yufeng Diao

    Issue: Volume 11, Issue 5, October 2022
    Pages: 116-122
    Received: Sep. 07, 2022
    Accepted: Oct. 05, 2022
    Published: Oct. 11, 2022
    DOI: 10.11648/j.acm.20221105.11
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    Abstract: In numerical integration, classical trapezoidal formula and parabolic formula play an important role in the theory and application of numerical integration, but trapezoidal formula and parabolic formula are relatively independent quadrature formulas, and the reasoning of error formula requires that the integrand function be second-order differentia... Show More
  • Computational Modelling of Two Strain Meningitis Disease Outbreak

    Timothy Kiprono Yano, Jacob Bitok

    Issue: Volume 11, Issue 5, October 2022
    Pages: 123-129
    Received: Sep. 11, 2022
    Accepted: Sep. 26, 2022
    Published: Oct. 11, 2022
    DOI: 10.11648/j.acm.20221105.12
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    Abstract: Meningococcal meningitis is a significant contributor to increased deaths globally, particularly the vulnerable children aged between 0-5 years. This paper formulates a robust two-strain epidemic model for the transmission dynamics of bacterial meningitis by incorporating interventions such as treatment and vaccination. The aim of the article is to... Show More
  • Computational Modelling of Pneumonia Disease Transmission Dynamics with Optimal Control Analysis

    Timothy Kiprono Yano, Jacob Bitok

    Issue: Volume 11, Issue 5, October 2022
    Pages: 130-139
    Received: Sep. 24, 2022
    Accepted: Oct. 09, 2022
    Published: Oct. 17, 2022
    DOI: 10.11648/j.acm.20221105.13
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    Abstract: A normalized pneumonia mathematical model is formulated and analyzed to describe the transmission dynamics of pneumonia disease with a varying population size and in the presence of drug resistance threats. The main aim of the study is to formulate and analyze a pneumonia optimal control model that implements varied control strategies against antib... Show More
  • Optimal Control Analysis of Meningococcal Meningitis Disease with Varying Population Size

    Timothy Kiprono Yano, Jacob Bitok, Rael Jerop

    Issue: Volume 11, Issue 5, October 2022
    Pages: 140-149
    Received: Sep. 20, 2022
    Accepted: Oct. 04, 2022
    Published: Oct. 17, 2022
    DOI: 10.11648/j.acm.20221105.14
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    Abstract: Meningococcal meningitis is a fatal and scary highly infectious disease especially in the African meningitis disease belt and globally, its every community’s desire to wipe out meningitis disease by considering its prevention and control mechanisms. The paper formulates and analyzes a Meningococcal meningitis epidemic model that describes the sprea... Show More
  • Numerical Investigation of Unsteady Hydromagnetic Stokes Free-Convective Fluid Flow Past an Infinite Vertical Porous Plate with Variable Suction in a Rotating System

    Mayaka Augustine Ayanga, Mathew Ngugi Kinyanjui, Jeconia Okelo Abonyo, Johana Kibet Sigey

    Issue: Volume 11, Issue 5, October 2022
    Pages: 150-159
    Received: Aug. 30, 2022
    Accepted: Oct. 12, 2022
    Published: Oct. 24, 2022
    DOI: 10.11648/j.acm.20221105.15
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    Abstract: In this paper, Stokes first problem for an unsteady hydromagnetic free convective flow of a viscous incompressible fluid past an infinite vertical porous plate subjected to a variable suction in a rotating system has been studied. The specific equations governing the flow are nondimensionalized to obtain the dimensionless forms of the governing equ... Show More