Dr. Joshua Kiddy Kwasi Asamoah

Lecturer


Dept: Mathematics
Office: Casely-Hayford Building Room 323
Google Scholar Citations: 1105
Google Scholar h-index: 18
Google Scholar i10-index: 25
Email: jkkasamoah@knust.edu.gh or jkasamoah@aims.edu.gh

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Research Areas/Interests

My research area is in mathematics with a specific interest in: Mathematical Modelling of Infectious Diseases Mathematical Biology ...~more


Profile

JKK Asamoah uses ordinary differential equations, partial differential equations, optimal control theory, and fractional derivatives 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 emerging and re-emerging human and animal diseases of public health and socio-economic interest.

JKK Asamoah's math models usually consist of deterministic systems of nonlinear differential equations. The goal is to find the range of parameters within which a particular disease can be managed effectively. JKK Asamoah employs or develops theories and approaches for analyzing dynamical systems to better understand the qualitative dynamics of such models. Exciting aspects of the models include the existence and asymptotic stability of steady-state solutions and the types of bifurcation linked to them. JKK Asamoah fits models to data using optimization techniques to estimate unknown parameters or uses literature values and parameter assumptions to conduct global uncertainty and sensitivity analysis for the models' basic reproduction numbers. JKK Asamoah uses cost-effectiveness theories to find the most cost-effective strategy for mitigating infectious diseases.

JKK Asamoah has published research articles in Science Journals, such as Chaos, Solitons & FractalsFractals; Journal of Mathematical BiologyJournal of MathematicsAlexandria 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

JKK Asamoah has peer-reviewed over 100 academic research papers; see Web of Science for more details.

JKK 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.

JKK Asamoah's Scopus Documents by Subject Area

MATHEMATICS: 24

PHYSICS AND ASTRONOMY: 16

COMPUTER SCIENCE : 5

MEDICINE : 2

DECISION SCIENCES: 2, ENGINEERING: 1

 

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, Optimal Control Theory

RESEARCH AREAS/EXPERIENCES

RESEARCH PROFILE LINKS

CURRENT COURSES

MATH 554: DYNAMICAL SYSTEMS AND BIFURCATION THEORY 

BACG 561: PRINCIPLES OF SYSTEMS AND COMPUTATIONAL BIOLOGY 

MATH 252: CALCULUS OF SEVERAL VARIABLES

MATH 158: CALCULUS

 

BRIEF DESCRIPTION OF RESEARCH INTEREST

Mathematical Modelling of Infectious Disease:

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 collected 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 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. These derivatives are based on concepts such as differentiation with a power law, the exponential law and the Mittag-Leffler operator by memory as the nonlocal and nonsingular kernel. 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 polynomial, and Chebyshev collocation techniques.

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