Research Publications (Mathematical and Statistical Sciences)

2024-07-01

Wang, Wei, Huang, Xiaohui, Wang, Hao

Abstract (description taken from article) Clonorchiasis is a zoonotic disease mainly caused by eating raw fish and shrimp, and there is no vaccine to prevent it. More than 30 million people are infected worldwide, of which China alone accounts for about half, and is one of the countries most...

2006-01-01

McCauley, E., Lewis, Mark A., Lutscher, F.

The question how aquatic populations persist in rivers when individuals are constantly lost due to downstream drift has been termed the “drift paradox.” Recent modeling approaches have revealed diffusion-mediated persistence as a solution. We study logistically growing populations with and...

2023-06-06

Thomas Hillen

Applied Functional Analysis is a branch of mathematics that lies at the intersection of pure mathematics and practical applications to real world problems. It explores the deep an intricate structures of function spaces, often infinite dimensional, and the mappings between them. This text...

2015-01-01

Potapov, Alex, Merrill, Evelyn, Pybus, Margo, Lewis, Mark A.

We consider the problem of estimating the basic reproduction number R0 from data on prevalence dynamics at the beginning of a disease outbreak. We derive discrete and continuous time models, some coefficients of which are to be fitted from data. We show that prevalence of the disease is...

2020-01-01

Stephanie J. Peacock, Martin Krkošek, Andrew W. Bateman, Mark A. Lewis

Parasite transmission between farmed and wild salmon affects the sustainability of salmon aquaculture in Pacific Canada. Understanding and managing parasites in aquaculture is challenged by spatial and temporal variation in transmission dynamics. We developed a mechanistic model that connects sea...

2018-03-27

Yanyu Xiao, Russell Greiner, Mark A. Lewis

In the work, we evaluate the performance of machine learning approaches for predicting successful eradication of aquatic invasive species (AIS) and assess the extent to which eradication of an invasive species depends on the certain specified ecological features of the target ecosystem...

2024-05-03

Cheng, Haihui, Sysoeva, Liubov, Wang, Hao, Yuan, Hairui, Zhang, Tonghua, Meng, Xinzhu

Abstract (description taken from article) In biology, evolutionary game-theoretical models often arise in which players’ strategies impact the state of the environment, driving feedback between strategy and the surroundings. In this case, cooperative interactions can be applied to studying...

2014-01-01

Alex Potapov, Ulrike E. Schlagel, Mark A. Lewis

We use an evolutionary approach to find “most appropriate” dispersal models for ecological applications. From a random walk with locally or nonlocally defined transition probabilities we derive a family of diffusion equations. We assume a monotonic dependence of its diffusion coefficient on...

2019-11-19

Mark A. Lewis

2016-05-16

Mark A. Lewis