JKK Asamoah uses 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.

Asamoah has published research articles in journals such as: Chaos, Solitons & Fractals; Fractals; Journal of Mathematical Biology; Journal of Mathematics; Heliyon; International Journal of Mathematics and Mathematical Sciences; Communications in Mathematical Biology and Neuroscience; Alexandria Engineering Journal; Results in Physics; Journal of Nanomaterials; Physica A: Statistical Mechanics and its Applications; The European Physical Journal Plus; Computational Intelligence and Neuroscience; Computational and Mathematical Methods in Medicine; Mathematics; Journal of Applied Mathematics; Computational and Mathematical Biophysics, Healthcare Analytics, Partial Differential Equations in Applied Mathematics; AIMS Mathematics; Fractal and Fractional; Decision Analytics Journal, Applied Mathematical Modelling; International Journal of Computing Science and Mathematics;  American Institute of Physics AIP-Advances

Asamoah peer-reviews research articles for the following journals: Mathematical Biosciences-Elsevier;  Chaos, Solitons & Fractals; Nonlinear Dynamics—Springer; Applied Mathematical Modeling—Elsevier; Research in Mathematics—Taylor & Francis; Quality 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—Spring; Decision-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—Hindawi; Results in Engineering—Elsevier

Asamoah 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 Complex Systems-PLOS.

(3) Journal of Mathematical Acumen and Research.

JKK Asamoah's Scopus Documents by Subject Area

MATHEMATICS: 28

PHYSICS AND ASTRONOMY: 18

COMPUTER SCIENCE : 6

MEDICINE : 2

DECISION SCIENCES: 3, ENGINEERING: 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

• Mathematical Epidemiology

• Mathematical Biology

• Computational Biology

• Optimal Control Theory

• Differential Equations

• Applied Fractional Calculus

RESEARCH PROFILE LINKS

• Publications

• Scopus

• Web of Science

• Google Scholar Webpage

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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