Silogini Thanarajah
Partial differential equations (PDEs) have been used to model the movement of bacteria, phages, and animals. Species movement and competition exist in many interesting practical applications such as dental plaque, animal movement, and infectious diseases. This dissertation consists of three main sections: bacterial competition in a petri dish, bacteria-phage interaction in a petri dish, and animal movements. Competition of motile and immotile bacterial strains for nutrients in a homogeneous
more » ... ient environment is dependent on the relevant bacterial movement properties. To study undirected bacterial movement in a petri dish, we modify and extend the bacterial competition model used in Wei et al. (2011) to obtain a group of more realistic PDE models. Our model suggests that in agar Many people contributed to this dissertation in numerous ways, and I am grateful to all of them. First and foremost, I would like to acknowledge my supervisor, Prof. Hao Wang, for his consistent encouragement during my studies at University of Alberta. It has been an honor to be his first Ph.D. student. I appreciate all his contributions of time, ideas, and funding to make my Ph.D. experience productive and stimulating. Without his support, this project would not have been possible. His encouragement and enthusiasm were important for the completion of this project. Furthermore, I would like to thank the members of my supervisory committee for participating in my candidacy and final defence examination, and my thesis committee for reading this dissertation. Prof. Michael Li, Prof. Gerda de Vries, Prof. Henry J.J. Van Roessel, Prof. Bingtuan Li and Prof. Fangliang He provided valuable discussions and suggestions during my candidacy and final examination. Likewise, I would like to thank Dr. Aditya Raghavan, Dr. Qihua Huang, and Xihui Lin for encouraging and in-depth discussions on my research and programming. Also, I would like to thank the external committee member Prof. Bingtuan Li for his time and effort. Special thanks go to the center of mathematical biology (CMB) and all the CMB fellow members for a pleasant and friendly atmosphere. I would like to thank the PIMS International Graduate Training Center (IGTC) in Mathematical Biology and the Department of Mathematical and Statistical Sciences at the University of Alberta for financial support. Finally, I thank my family and friends for their support and affiliation during my graduate program.
doi:10.7939/r33j39747 fatcat:x32cu74gkfbfddrh2zfgi5t434