Dr. Joshua Kiddy Kwasi Asamoah

Lecturer


Dept: Mathematics
Office: Casely-Hayford Building Room 323
Google Scholar Citations: 1603
Google Scholar h-index: 22
Google Scholar i10-index: 36
Email: jkkasamoah@knust.edu.gh
Tel: +233248215207

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Research Areas/Interests

My research area is in mathematics with a specific interest in: Mathematical Modelling Mathematical Biology Optimal Control Theory...~more


Profile

My approach is characterised by developing models that strike a balance between realism and tractability, drawing upon insights from mathematics, statistics, and computational techniques. I use ordinary differential equations, partial differential equations, optimal control theory, fractional derivatives, and environmental factors to gain insights into the qualitative behaviour of nonlinear dynamical systems arising from the mathematical modelling of phenomena in the natural sciences, with an emphasis on the transmission dynamics and control of human and animal diseases of public health and socio-economic interest. At larger scales, I am interested in constructing differential equations to describe population dynamics or devising algorithms to optimise resource allocation. I am committed to producing robust and actionable solutions that transcend disciplinary boundaries.

I have published research articles in journals such as: Chaos, Solitons & FractalsFractals; Journal of Mathematical BiologyJournal of Mathematics; HeliyonInternational Journal of Mathematics and Mathematical SciencesCommunications in Mathematical Biology and NeuroscienceAlexandria Engineering JournalResults in PhysicsJournal of NanomaterialsPhysica A: Statistical Mechanics and its Applications; The European Physical Journal Plus; Computational Intelligence and NeuroscienceComputational and Mathematical Methods in MedicineMathematicsJournal of Applied MathematicsComputational and Mathematical Biophysics, Healthcare Analytics, Partial Differential Equations in Applied MathematicsAIMS MathematicsFractal and Fractional; Decision Analytics JournalApplied Mathematical ModellingInternational Journal of Computing Science and Mathematics;  American Institute of Physics AIP-Advances.

I peer-reviews research articles for the following journals: Scientific African-ElseverMathematical Biosciences-Elsevier Chaos, Solitons & Fractals; Nonlinear Dynamics—Springer; Applied Mathematical Modeling—Elsevier; Research in Mathematics—Taylor & FrancisQuality and Quantity—Springer; Alexandria Engineering Journal—Elsevier; Ain Shams Engineering Journal—Elsevier; Heliyon-Elsevier; Epidemiologic Methods—De Gruyter; Royal Society Open Science—Royal Society; Egyptian Mathematical Society—SpringDecision-Analytics-Journal-Elsevier; Healthcare-Analytics-Elsevier; Numerical Heat Transfer, Part A: Applications—Taylor & Francis; Cogent Medicine—Taylor & Francis; Cogent Mathematics & Statistics—Taylor & Francis; Scientific Reports—Springer Nature; Results in Physics Journal—Elsevier; Fractal and Fractional-MDPI; Scientific African-Elsevier; International Journal of Biomathematics-World Scientific; Partial Differential Equations in Applied Mathematics—Elsevier; Results in Control and Optimisation—Elsevier; AIMS Mathematics—Aims Press; Journal of Mathematics—MDPI; Symmetry—MDPI; Mathematical Modelling and Control—Aims Press; Mathematical Biosciences and Engineering—Aims Press; Mathematical Problems in Engineering—HindawiResults in Engineering—Elsevier

I was awarded as a top reviewer (2022) in Research in Mathematics for upholding Taylor & Francis’s continued tradition of publishing the highest quality work.

 

 Editorial Board Member

(1) Virology Journal-BMC, Part of Springer Nature.

(2) PLOS ONE 

(3) PLOS Complex Systems-PLOS.

(4) Franklin Open-Early Career Editorial Board-Elsevier

(5) Journal of Mathematical Acumen and Research

 

JKK Asamoah's Scopus Documents by Subject Area

MATHEMATICS: 33

PHYSICS AND ASTRONOMY: 24

COMPUTER SCIENCE : 7

BIOCHEMISTRY, GENETICS and MOLECULAR BIOLOGY : 5

DECISION SCIENCES: 4

MULTIDISCIPLINARY : 4

IMMUNOLOGY AND MICROBIOLOGY : 3

MATERIALS SCIENCE : 3

NEUROSCIENCE : 2

ENGINEERING: 2

MEDICINE : 2

CHEMISTRY : 2

AGRICULTURAL and BIOLOGICAL SCIENCE: 1

 

Teaching Experience

 

MATH 554: DYNAMICAL SYSTEMS AND BIFURCATION THEORY 

BACG 561: PRINCIPLES OF SYSTEMS AND COMPUTATIONAL BIOLOGY 

MATH 456: MATHEMATICAL BIOLOGY II

MATH 252: CALCULUS OF SEVERAL VARIABLES

MATH 158: CALCULUS

MATH 151: ALGEBRA

 

Project

Mathematical Models and Optimisation Strategies for Infectious Diseases and Biological Processes

Goal: This project seeks to develop and analyse compartmental models for diseases and biological processes in humans and animals. We will also predict control measures to reduce the spread of diseases in the selected population while assessing the socio-economic evaluations of the implemented control interventions.

Keywords: Mathematical biology; Mathematical models; Diseases; Stability analysis; Seasonal dynamics; Sensitivity analysis; Optimal control theory; Cost-effectiveness analysis; Riemann-Liouville-Caputo derivative; Atangana-Baleanu-Caputo (ABC) derivative; Caputo-Fabrizio (CF) derivatives; Fractal-fractional derivatives

Methods: Differential Equations, Fractional Calculus, and Optimal Control Theory

RESEARCH AREAS/EXPERIENCES

RESEARCH PROFILE LINKS

 

BRIEF DESCRIPTION OF RESEARCH INTEREST

Mathematical Modelling of Infectious Diseases:

Infectious disease epidemics can be predicted using mathematical models to guide public health and plant health measures. Calculations based on the parameters of various contagious diseases, such as mass vaccination campaigns, can be made using models that use fundamental assumptions or collect statistics and mathematics. For example, it may be able to anticipate future growth trends or help determine which interventions to avoid and which to test.

Fractional Derivatives:

To describe the hereditary characteristics of various behaviours, we need proper tools. Fractional derivatives are a beautiful means for achieving such an objective. Another advantage of fractional derivatives is that they perform a vital function in representing dynamics between a couple of various points in several stages. Multiple definitions of such derivatives have been developed. A power law, the exponential law, and the Mittag-Leffler operator by memory as the nonlocal and nonsingular kernel are some of the ideas that these derivatives are based on. Several real-world applications of these innovative fractional operators are available in the literature. We require numerical techniques to acquire the approximate answers to these issues because obtaining analytical solutions to equations of a different order is difficult. Some numerical methods are Lagrange interpolation, Newton polynomials, and Chebyshev collocation techniques.

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