Woldegebriel Assefa Woldegerima

Woldegebriel Assefa Woldegerima
York University · Department of Mathematics and Statistics

Doctor of Philosophy
Assistant professor at York University, Canada.

About

18
Publications
2,673
Reads
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36
Citations
Introduction
Currently, I am an Assistant Professor at York University in the Professional stream. My research interests lie in Mathematical Models and Methods in Biosciences and Bioengineering.
Additional affiliations
January 2019 - December 2020
University of Pretoria
Position
  • Lecturer
Description
  • Besides to my Postdoc research, I am involved in courses for undergraduate maths and engineering calculus and differential equations courses, which includes presenting tutorials and/or practical classes; grading tests and exams.
July 2018 - September 2019
Mekelle University
Position
  • Professor (Assistant)
Description
  • Teaching mathematics courses (Differential equation, numerical analysis, mathematical modelling) for undergraduate and master's degree students. Supervising and co-supervising students' theses.
September 2014 - June 2018
African Institute for Mathematical Sciences Cameroon
Position
  • Lecturer
Description
  • Support lecturers coming from different countries in the world, preparing and marking assignments, tests; organizing and running tutorial sessions for different courses (such as mathematical modelling, numerical analysis, ODEs, PDEs, optimal control theory, optimization, e.t.c; run several pieces of training in programming using python, SAGE math, Microsoft office; teaching refresher (prerequisite) courses on ordinary differential equations, linear algebra; mentoring students' thesis.
Education
November 2014 - June 2018
University of Buea
Field of study
  • Applied Mathematics
September 2013 - June 2014
African Institute for Mathematical Sciences Cameroon
Field of study
  • Mathematical Sciences
September 2008 - July 2010
Addis Ababa University
Field of study
  • Mathematics

Publications

Publications (18)
Article
A model is developed and used to study within-human malaria parasite dynamics. The model integrates actors involved in the development–progression of parasitemia, gametocytogenesis and mechanisms for immune response activation. Model analyses under immune suppression reveal different dynamical behaviours for different healthy red blood cell (HRBC)...
Preprint
Full-text available
Sensitivity analysis has become increasingly useful in many fields of engineering and sciences. Researchers use sensitivity and uncertainty analysis in the mathematical modelling of biological phenomena because of its value in identifying essential parameters for model's output. Moreover, it can help in the process of experimental analysis, model o...
Article
It is often impossible to measure all states affecting spread of a disease. In cholera, asymptomatic and cholera pathogen densities are not practically measurable despite playing a big role in its transmission. They are referred to as inaccessible states of the model and can only be manipulated using the measurable states of the given model. Our in...
Article
A within-human-host malaria parasite model, integrating key variables that influence parasite evolution-progression-advancement, under innate and adaptive immune responses, is analyzed. The implicit role of immunity on the steady state parasite loads and parasitemia reproduction number ([Formula: see text]), a threshold parameter measuring the para...
Article
Full-text available
In this paper we develop a stochastic mathematical model of cholera disease dynamics by considering direct contact transmission pathway. The model considers four compartments, namely susceptible humans, infectious humans, treated humans, and recovered humans. Firstly, we develop a deterministic mathematical model of cholera. Since the deterministic...
Preprint
Full-text available
Monkeypox is an emerging zoonotic disease caused by the monkeypox virus, which is an infectious agent belonging to the family of Poxviruses. Currently, commencing from the end of April 2022, an outbreak of monkeypox is ongoing, with more than 25,000 cases being reported as of August 3, 2022, involving 90 countries and territories across all the six...
Preprint
Self-medication and the use of complementary medicine are common among people in the Global South for social, economic, and psychological reasons. Governments in these countries are generally faced with several challenges, including limited resources and poor infrastructure and patient health literacy. In this paper, we formulate and analyze a math...
Article
Full-text available
In this paper, we provide a brief survey of mathematical modelling of malaria and how it is used to understand the transmission and progression of the disease and design strategies for its control to support public health interventions and decision-making. We discuss some of the past and present contributions of mathematical modelling of malaria, i...
Article
Full-text available
Recently, promising clinical advances have been made in the development of antimalarial drugs that block the parasite transmission and also cures the disease and has prophylactic effects, called transmission-blocking drugs (TBDs). The aim of this paper is to develop and analyze a population level compartmental model of human-mosquito interactions t...
Article
Full-text available
In this study, we proposed a fractional order model of hepatitis B virus transmission dynamics with two-age structure under vaccination. A qualitative analysis of the model is performed. Basic reproduction number of the model is determined. Local stability conditions of disease-free equilibrium point are proven by using fractional Ruth-Hurwitz cond...
Article
We develop and analyze a deterministic ordinary differential equation mathematical model for the within-mosquito dynamics of the Plasmodium falciparum malaria parasite. Our model takes into account the action and effect of blood resident human-antibodies, ingested by the mosquito during a blood meal from humans, in inhibiting gamete fertilization....
Preprint
In this paper we have proposed and analysed an age structured mathematical model for studying the dynamics of Hepatitis B virus disease. The total population is subdivided in to eight compartments by considering different scenarios. First, we analyzed the qualitative behaviour of the model including positivity and boundedness of future solutions. M...
Preprint
In this paper, we developed an SIBT R deterministic mathematical model for cholera dynamics by considering indirect contact transmission pathway of the disease. The model considers five compartment classes, namely; the susceptible individuals, the infectious individuals, treatment class, recovered individuals and the concentration of vibrio cholera...
Article
Full-text available
Sensitivity analysis has become increasingly useful in many fields of engineering and sciences. Researchers use sensitivity and uncertainty analysis in the mathematical modelling of biological phenomena because of its value in identifying essential parameters for model's output. Moreover, it can help in the process of experimental analysis, model o...
Article
Full-text available
TB is rated as one of the world’s deadliest diseases and South Africa ranks 9th out of the 22 countries with hardest hit of TB. Although many pieces of research have been carried out on this subject, this paper steps further by inculcating past knowledge into the model, using Bayesian approach with informative prior. Bayesian statistics approach is...
Book
The sturm_Liouville Boundary value problems, after the Swiss mathematician Jacques Sturm (1803–1855) and the French mathematician Joseph Liouville (1809–1882), who studied these problems and the properties of their solutions, is the most important branch of applied mathematics which form the starting point for the study of mechanical and electrical...

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Projects

Projects (2)
Project
Study and analyse mathematically the host dynamics of malaria parasites within a human and within mosquito host