Year: 2025, 2025
Member of: Trent University Graduate Thesis Collection
Name(s): Creator (cre): Urmee, Farjana Zaman, Thesis advisor (ths): Abdella, Kenzu, Thesis advisor (ths): Wang, Xiaoying, Degree committee member (dgc): Parker, James, Degree committee member (dgc): Shu, Hongying, Degree granting institution (dgg): Trent University Abstract: <p>This study focuses on the world dynamics of a cholera model that includes delayed bacterial shedding and water disinfection. From the method of the next generation matrix, a basic reproduction number is found that sets a threshold of disease persistence. It is shown that the disease disappears if $R_0<1$, which means that the disease-free equilibrium is globally asymptotically… more Year: 2024, 2024
Member of: Trent University Graduate Thesis Collection
Name(s): Creator (cre): Smit, AJ, Thesis advisor (ths): Wang, Xiaoying, Degree committee member (dgc): Wang, Xiaoying, Degree committee member (dgc): Pollanen, Marco, Degree committee member (dgc): Kong, Jude, Degree granting institution (dgg): Trent University Abstract: <p>This thesis is focused on studying the population dynamics of a predator-prey system in a patchy environment, taking anti-predation responses into consideration. Firstly, we conduct mathematical analysis on the equilibrium solutions of the system. Using techniques from calculus we show that particular steady state solutions exist when the parameters of the system meet certain criteria.… more Full Text: MATHEMATICAL BIOLOGY: ANALYSIS OF PREDATOR-PREY SYSTEMS IN PATCHY ENVIRONMENT INFLUENCED BY THE FEAR EFFECT A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements for the Degree of Master of Science in the …
Year: 2024, 2024
Member of: Trent University Graduate Thesis Collection
Name(s): Creator (cre): Smit, AJ, Thesis advisor (ths): Wang, Xiaoying, Degree committee member (dgc): Wang, Xiaoying, Degree committee member (dgc): Pollanen, Marco, Degree committee member (dgc): Kong, Jude, Degree granting institution (dgg): Trent University Abstract: <p>This thesis is focused on studying the population dynamics of a predator-prey system in a patchy environment, taking anti-predation responses into consideration. Firstly, we conduct mathematical analysis on the equilibrium solutions of the system. Using techniques from calculus we show that particular steady state solutions exist when the parameters of the system meet certain criteria.… more
