A5030616211- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- Ecology and Vegetation Dynamics Studies
- Wildlife Ecology and Conservation
- Fish Ecology and Management Studies
- Animal Ecology and Behavior Studies
- Parasite Biology and Host Interactions
- Forest Insect Ecology and Management
- Evolutionary Game Theory and Cooperation
- Animal Behavior and Reproduction
- Aquatic Invertebrate Ecology and Behavior
- Marine animal studies overview
- Plant and animal studies
- COVID-19 epidemiological studies
- Species Distribution and Climate Change
- Stochastic processes and statistical mechanics
- Marine and fisheries research
- Ecosystem dynamics and resilience
- Genetic diversity and population structure
- Mathematical Biology Tumor Growth
- Nonlinear Dynamics and Pattern Formation
- Animal Behavior and Welfare Studies
- Forest Ecology and Biodiversity Studies
- Avian ecology and behavior
- Aquaculture disease management and microbiota
University of Alberta
2016-2025
University of Victoria
1989-2025
Texila American University
2023
University of the Witwatersrand
2023
Indiana University – Purdue University Indianapolis
2022
Missouri Western State University
2015-2022
Brock University
2021
Oregon State University
2021
Fischer (Germany)
2021
Oregon Department of Fish and Wildlife
1992-2021
Models that describe the spread of invading organisms often assume dispersal distances propagules are normally distributed. In contrast, measured curves typically leptokurtic, not normal. this paper, we consider a class models, integrodifference equations, directly incorporate detailed data as well population growth dynamics. We provide explicit formulas for speed invasion compensatory and different choices propagule redistribution kernel apply these to D. pseudoobscura. observe that: (1)...
Numbers of non-indigenous species--species introduced from elsewhere - are increasing rapidly worldwide, causing both environmental and economic damage. Rigorous quantitative risk-analysis frameworks, however, for invasive species lacking. We need to evaluate the risks posed by quantify relative merits different management strategies (e.g. allocation resources between prevention control). present a bioeconomic modelling framework analyse activity environment. The model identifies optimal...
Most of the fundamental elements ecology, ranging from individual behavior to species abundance, diversity, and population dynamics, exhibit spatial variation. Partial differential equation models provide a means melding organism movement with processes have been used extensively elucidate effects variation on populations. While there has an explosion theoretical advances in partial past two decades, this work generally neglected mathematical ecology textbooks. Our goal paper is make...
The oak, to gain its present most northerly position in North Britain after being driven out by the cold probably had travel fully six hundred miles, and this without external aid would take something like a million years. (Reid 1899)
Abstract Memory is critical to understanding animal movement but has proven challenging study. Advances in tracking technology, theoretical models and cognitive sciences have facilitated research each of these fields, also created a need for synthetic examination the linkages between memory movement. Here, we draw together from several disciplines understand relationship processes. First, frame problem terms characteristics, costs benefits as outlined psychology neuroscience. Next, provide...
Summary A resource selection function is a model of the likelihood that an available spatial unit will be used by animal, given its value. But how do we appropriately define availability? Step analysis deals with this problem at scale observed positional data, matching each ‘used step’ (connecting two consecutive positions animal) set ‘available steps’ randomly sampled from distribution steps or their characteristics. Here present simple extension to approach, termed integrated step ( iSSA...
All species' ranges are the result of successful past invasions. Thus, models invasions and their failure can provide insight into formation a geographic range. Here, we study properties invasion when species cannot persist below critical population density known as an "Allee threshold." In both spatially continuous reaction-diffusion discrete coupled ordinary-differential-equation models, Allee effect cause to fail. patchy landscapes (with dynamics described by model), range limits caused...
For populations having dispersal described by fat-tailed kernels (kernels with tails that are not exponentially bounded), asymptotic population spread rates cannot be estimated traditional models because these predict continually accelerating (asymptotically infinite) invasion. The impossible predictions come from the fact fitted to data have a quality (nondiscrete individuals and, thus, no moment-generating function) never applies data. Real organisms produce finite (and random) numbers of...
Rather than benefiting wild fish, industrial aquaculture may contribute to declines in ocean fisheries and ecosystems. Farm salmon are commonly infected with lice (Lepeophtheirus salmonis), which native ectoparasitic copepods. We show that recurrent louse infestations of juvenile pink (Oncorhynchus gorbuscha), all associated farms, have depressed populations placed them on a trajectory toward rapid local extinction. The louse-induced mortality is over 80% exceeds previous fishing mortality....
Since about 1940, when they were first released in the New York City area, house finches (Carpodacus mexicanus) have multiplied explosively and colonized much of eastern North America. We take advantage richly detailed documentation this biological invasion to construct a mathematical model that predicts rate population spread on basis readily measurable demographic parameters. seek improve previous models by predicting accelerates following an initial period slower growth, pattern followed...
The range of potential mechanisms limiting species' distributions in space is nearly as varied and complex the diversity life itself. Yet viewed abstractly, a border geographic manifestation demographic responses to spatially temporally varying world. Population dynamic models provide insight into different routes by which limits can arise owing gradients rates. In metapopulation context, for example, may be caused extinction rates, colonization rates or habitat availability. We have...
Recent advances in the mathematical theory of invasion dynamics have much to offer biological control. Here we synthesize several results concerning spatiotemporal that occur when a biocontrol agent spreads into population an invading pest species. We outline conditions under which specialist and generalist predators can influence density rate spatial spread pest, including rather stringent predator successfully reverse invasion. next discuss connections between long distance dispersal...
Marine salmon farming has been correlated with parasitic sea lice infestations and concurrent declines of wild salmonids. Here, we report a quantitative analysis how single farm altered the natural transmission dynamics to juvenile Pacific salmon. We studied infections ( Lepeophtheirus salmonis Caligus clemensi ) on pink Oncorhynchus gorbuscha chum keta as they passed an isolated during their seaward migration down two long narrow corridors. Our calculations suggest infection pressure...
Infectious diseases present ecological and public health challenges that can be addressed with mathematical models. Certain pathogens, however, including the emerging West Nile virus (WN) in North America, exhibit a complex seasonal ecology is not readily analysed standard epidemiological methods. We develop single–season susceptible–infectious–removed (SIR) model of WN cross–infection between birds mosquitoes, incorporating specific features unique to ecology. obtain disease reproduction...
Recent literature on plant population spread advocates quantification of long-distance dispersal (LDD). These estimates could provide insights into rates migration in response to climate change and alien invasions. LDD information is not available for parameterization current models because it hard obtain. We combine a new stochastic model with flexible framework that permits assimilation evidence might be derived from range sources. Results are consistent the prediction traditional...
The continuing decline of ocean fisheries and rise global fish consumption has driven aquaculture growth by 10% annually over the last decade. association farms with disease emergence in sympatric wild stocks remains one most controversial unresolved threats poses to coastal ecosystems fisheries. We report a comprehensive analysis spread impact farm-origin parasites on survival populations. mathematically coupled extensive data sets native parasitic sea lice (Lepeophtheirus salmonis)...