Isaac Kwame Dontwi
58 Publications35 Research Themes44 Open Access
Research Overview & Focus
The overall research focus is centered on the integration of advanced mathematical models and innovative analytical techniques to enhance our ability to understand and predict complex phenomena across various domains. Through a blend of theoretical advancements in areas such as fractional differential equations, image processing methodologies, and epidemiological studies, researchers aim to develop robust frameworks that can be applied to fields ranging from health sciences to environmental management. By leveraging cutting-edge approaches like modified semiseparation methods, Chebyshev wavelets collocation techniques, and network information criterion adjustments, mathematical models are increasingly used to address challenges in disease spread, ecological systems, transportation planning, and public health interventions.
Key Research Themes (35)
Physical Sciences
Advanced Differential Equations and Dynamical Systems
Physical Sciences
Advanced Mathematical Modeling in Engineering
Physical Sciences
Biometric Identification and Security
Life Sciences
Cellular Mechanics and Interactions
Physical Sciences
COVID-19 epidemiological studies
Physical Sciences
Enhanced Oil Recovery Techniques
Physical Sciences
Fixed Point Theorems Analysis
Physical Sciences
Fractional Differential Equations Solutions
Health Sciences
Global Maternal and Child Health
Physical Sciences
Groundwater flow and contamination studies
Health Sciences
Hepatitis B Virus Studies
Social Sciences
Hermeneutics and Narrative Identity
Physical Sciences
Hydrological Forecasting Using AI
Physical Sciences
Image and Signal Denoising Methods
Physical Sciences
Image Processing Techniques and Applications
Social Sciences
Insurance and Financial Risk Management
Physical Sciences
Intelligent Tutoring Systems and Adaptive Learning
Life Sciences
Lichen and fungal ecology
Health Sciences
Mathematical and Theoretical Epidemiology and Ecology Models
Physical Sciences
Mathematical Dynamics and Fractals
Physical Sciences
Mathematical Inequalities and Applications
Social Sciences
Mathematics Education and Teaching Techniques
Health Sciences
Mosquito-borne diseases and control
Health Sciences
Mycobacterium research and diagnosis
Physical Sciences
Neural Networks and Applications
Physical Sciences
Nonlinear Waves and Solitons
Life Sciences
Parasites and Host Interactions
Health Sciences
Peripheral Artery Disease Management
Life Sciences
Pharmacological Effects of Natural Compounds
Social Sciences
Probabilistic and Robust Engineering Design
Physical Sciences
Statistical Methods and Inference
Social Sciences
Transportation Planning and Optimization
Physical Sciences
Water Quality Monitoring Technologies
Physical Sciences
Water resources management and optimization
Physical Sciences
Water Systems and Optimization
Publications (58)
A methodological approach to solving the Korteweg–de Vries equation in its various forms
Open AccessExact solution of system of nonlinear fractional partial differential equations by modified semi-separation of variables method
Open AccessThe Modified Homogeneous Balance Method for solving fractional Cahn–Allen and equal width equations
Open AccessThe Exact Solution of the Fractional Burger’s Equation using the Modified Homogeneous Balance Method
Open AccessSolving system of nonlinear fractional partial differential equations by fractional semi-separation of variables method
Open AccessFractional Gauss Hypergeometric Power Series Method for Solving Fractional Partial Differential Equations
Open AccessModified Semiseparation of Variables Methods for Solving the System of Nonlinear Fractional Partial Differential Equations
Open AccessThe Analytic Methods for Solving the System of Fractional Order Brusselator Equations
Open AccessFixed point of discrete dynamical system of Lotka Volterra model
Open AccessFixed point theory with partially ordered metric spaces and homotopy
Open AccessThe Modified Homogeneous Balance Methods for solving Korteweg–DeVries equations
Open AccessModified Fractional Power Series Method for solving fractional partial differential equations
Open AccessOn the fixed points theory of strong partial b- metric spaces
Open AccessDetermination of the Fixed Point of Lotka-Volterra Function
Open AccessThe Fractional Separation of Variables Method For Solving System Of Nonlinear Fractional Partial Differential Equation
Open AccessThe Modified Homogeneous Balance Methods for Solving Space-Time Fractional Kaup-Kupershmidt Equation
Open AccessA new macro-scale volume averaged transport model for diffusive dominated non-Darcian flow problem in multi-scaled naturally fractured reservoirs
Open AccessA New Multicontinuum Model for Advection-Diffusion Process of Single-Phase Nonlinear Flow in a Multiscale Fractured Porous Media
Open AccessImproved estimators for the rate parameter of gamma model using asymptotic properties
Open AccessA Formal Homogenization Approach to Piping Flow Erosion with Deposition in a Spatially Heterogeneous Soil
Open AccessA Rigorous Homogenization for a Two-Scale Convergence Approach to Piping Flow Erosion with Deposition in a Spatially Heterogeneous Soil
Open AccessThe “Determinant Of The Jacobian Matrix” As A Purely Determining Factor Of A Vegetation Pattern Formation Under Turing Instability
2019Lichen and fungal ecology
The Quotient Inequalities
Open AccessOCCUPATIONAL EXPOSURE TO IONISING RADIATION IN MEDICAL FACILITIES AND POSSIBLE HEALTH IMPLICATIONS: A CASE STUDY IN RADIOLOGICAL OR X-RAY DEPARTMENTS IN SOME SELECTED HEALTH FACILITIES IN GHANA
2019Hermeneutics and Narrative Identity
Chebyshev wavelets collocation method for simulating a two-phase flow of immiscible fluids in a reservoir with different capillary effects
Open AccessStability Analysis of Multi-Infections (Malaria, Zika-Virus and Elephantiasis) Model
Open AccessA Mathematical Model for Mycolactone Toxin Reaction and Di usion in Cell Cytoplasm
Open AccessStability Analysis of Zika – Malaria Co-infection Model for Malaria Endemic Region
Open AccessA Study of Chaos in Dynamical Systems
Open AccessFractional radial-cylindrical diffusivity model for levels of heterogeneity in petroleum reservoirs
Open AccessComparing Mathematical Models for the Rate of Clot Dissolution during Laminar and Turbulent Flows using Reynolds Numbers
2017Peripheral Artery Disease Management
An Adjusted Network Information Criterion for Model Selection in Statistical Neural Network Models
Open AccessA new construction of a fractional derivative mask for image edge analysis based on Riemann-Liouville fractional derivative
Open AccessFractional Order Optimal Control Model For Malaria Infection
Open AccessFractional Order Malaria Model With Temporary Immunity
Open AccessFractional Order SIR Model with Constant Population
Performance Analysis of Image Smoothing Techniques on a New Fractional Convolution Mask for Image Edge Detection
Open AccessOn the Analysis and Numerical Formulation of Miscible Fluid Flow in Porous Media Using Chebyshev Wavelets Collocation Method
Open AccessAn Adjusted Network Information Criterion for Model Selection in Statistical Neural Network Models
2015Neural Networks and Applications
Threshold Analysis of Wavelet Based Fingerprint Feature Extraction Methods on Multiple Impression Dataset
A Mathematical Model to Predict the Prevalence and Transmission Dynamics of Tuberculosis in Amansie West District, Ghana
Modelling Hepatitis B in A High Prevalence District in Ghana
Optimal Control Applied to the Spread of Buruli Uclcer Disease
Open AccessA Theoretical Model for the Transmission Dynamics of the Buruli Ulcer with Saturated Treatment
Open AccessMathematical Model of Two Isomeric Conformations for WASP Autoinhibition
Open Access2014Cellular Mechanics and Interactions
On the Level of Precision of the Wavelet Neural Network in Rainfall Analysis
2014Hydrological Forecasting Using AI
Modeling Memorization and Forgetfulness Using Dierential Equations
Ascertaining the Financial Cost of Malaria and Mitigating against It Using Actuarial Models for Financial Cost
Open AccessTopological Dynamics in Tandem with Permutation Groups
Open AccessDynamic Systems of Shifts in the Space of Piece-Wise Continuous Functions
Open AccessUsing Mathematical Model to Depict the Immune Response to Hepatitis B Virus Infection
Open AccessApplication of an index-based scheme to fish pond culture in Ghana
Optimal Allocation of Flows (Water) Within the Volta Basin System of Ghana
Open AccessTechnical efficiencies of Ghanaian general insurers
Open AccessTraffic-data driven modelling of vehicular emissions using COPERT III in Ghana: A case study of Kumasi
2010Transportation Planning and Optimization
A matching scheme for aquaculture; a graphing calculator approach
Open AccessPredicting the timing of second praziquantel treatment and its effect on reduction of egg counts in southern Ghana
Research in Graphing Calculator Use: A Preliminary Report
Academic Metrics
DepartmentDepartment of Mathematics
Total Publications58
Research Themes35
Open Access Papers44
Department of Mathematics
Kwame Nkrumah University of Science and Technology