I am Jude Kong an NSERC Postdoctoral Fellow. I earned my PhD in Applied Mathematics alongside an embbeded certificate in Data Science from the University of Alberta. I formulate and analyze models in order to answer key ecological and epidemiological questions. Most of the models I formulate are in terms of ODE, PDE, and DDE, following fundamental chemical and physical laws. Analytical techniques include local and global stability analysis, bifurcation analysis, theory of monotone dynamical systems, persistence theory, sensitivity analysis, etc. I have also gained expertise in employing diverse tools such as regression analysis, data mining, machine learning and time series analysis.
My primary research work focuses on formulating and analyzing stoichiometry based biodegradation models. Questions I attempt to answer include:
- What mechanisms allow microbes and resources to persist uniformly or go extinct?
- How do the grazers affect decomposition?
- How can the rate of decomposition be maximized or minimized?
- What are the impacts of important factors such as temperature, priming effect, and inhibitory effect of excess organic matter on the decomposition rate?
Additionally, I develop and analyze stoichiometry based models for the dynamics of phytoplankton in a stratified lake. These models incorporate the dependence of phytoplankton production on light and cellular nutrient contents. The main objectives here are twofold:
- firstly, to examine how the key features of a stratified lake, such as the depths of epilimnion and hypolimnion, nutrient and light availability, affect the persistence, extinction and biodiversity of algae and bacteria in a stratified lake and
- secondly to dicuss how human activities, such as nearby agriculture or industrial pollution, cause harmful algal blooms in a stratified lake.
I also have a vested interest in diseases dynamics, which is growing rapidly. The current focus is on formulating and analyzing directly and indirectly transmitted infectious disease model among homogenous populations as well as heterogeneous populations. Questions aim to answer include:
- Why are there irregularities in seasonal patterns of outbreaks amongst different countries?
- How can we estimate the transmission function of an infectious disease from a given incidence or prevalence data set?
- What is the estimated value of the basic reproduction number in affected regions?