A5061777946- Mathematical and Theoretical Epidemiology and Ecology Models
- Mosquito-borne diseases and control
- Viral Infections and Vectors
- COVID-19 epidemiological studies
- Evolution and Genetic Dynamics
- Animal Ecology and Behavior Studies
- Microbial Metabolism and Applications
- Vibrio bacteria research studies
- Ecology and Vegetation Dynamics Studies
- Ecosystem dynamics and resilience
- Plant and animal studies
- Microscopic Colitis
- Herpesvirus Infections and Treatments
- Clostridium difficile and Clostridium perfringens research
- COVID-19 diagnosis using AI
- Statistical Methods and Bayesian Inference
- Gastrointestinal motility and disorders
- Malaria Research and Control
- Escherichia coli research studies
- Influenza Virus Research Studies
- Lymphoma Diagnosis and Treatment
- Bayesian Methods and Mixture Models
- Fungal Biology and Applications
- Insect and Pesticide Research
- Evolutionary Game Theory and Cooperation
Virginia Commonwealth University
2015-2025
North Carolina State University
2017
The Ohio State University
2011-2013
University of Arizona
2011
Applied Mathematics (United States)
2011
William & Mary
2003
Many factors influencing disease transmission vary throughout and across populations. For diseases spread through multiple pathways, sources of variation may affect each pathway differently. In this paper we consider a that can be via direct indirect transmission, such as the waterborne cholera. Specifically, system patches with occurring entirely within patch single shared water source. We investigate effect heterogeneity in dual pathways on disease. first present 2-patch model for which...
Fungi are constantly exposed to nitrogen limiting environments, and thus the efficient regulation of metabolism is essential for their survival, growth, development pathogenicity. To understand how rice blast pathogen Magnaporthe oryzae copes with limited availability, a global proteome analysis under supplemented starved conditions was completed. M. strain 70–15 cultivated in liquid minimal media transferred nitrate or without source. Proteins were isolated subjected unfractionated gel-free...
Abstract Structured compartmental models in mathematical biology track age classes, stage or size classes of a population. modeling becomes important when mechanistic formulations intraspecific interactions are class‐dependent. The classic derivation such from partial differential equations produces time delays the transition rates between classes. In particular, juvenile to adult has delay equal maturation period organism. literature, many structured models, posed as ordinary equations,...
Spatial segregation among life-cycle stages has been observed in many stage-structured species, including species of the flour beetle Tribolium. We investigate density-dependent dispersal as a possible mechanism responsible for this separation. explore hypothesis using stage-structured, integrodifference equation (IDE) models that incorporate kernels. first mechanisms can lead to spatial patterns juvenile–adult IDE models. show, via numerical simulation, sense each stage peaks different...
ABSTRACT Hurricanes have profound impacts on zoonotic pathogen ecosystems that exhibit spatial and temporal waves in both distance from time since the event. Wind, rain, storm surge directly affect mosquito vectors animal hosts of these pathogens. In this analysis, we apply a West Nile virus transmission model parameterized for Northern coast Gulf Mexico to explore effect event timing hurricane landfall, event, damage extent human neuro-invasive disease (WNV-NID) risk. Early-season...
Management strategies for control of vector-borne diseases, example Zika or dengue, include using larvicide and/or adulticide, either through large-scale application by truck plane door-to-door efforts that require obtaining permission to access private property and spray yards. The efficacy the latter strategy is highly dependent on compliance local residents. Here we develop a model disease transmission between mosquitoes humans in neighborhood setting, considering network houses connected...
Abstract West Nile virus (WNV) is a vector‐borne disease spread primarily between birds and mosquitoes. In the United States, main methods used to control WNV are aimed at lowering vector population through reducing births (larvicide) or increasing mortality of adults (adulticide). We investigate potential novel control, vaccination newborn (nestlings). first apply standard optimal (OC) methodology nonautonomous differential equation model for transmission incorporating avian stage structure...
Oscillating population data often exhibit cycle irregularities such as episodes of damped oscillation and abrupt changes phase. The prediction is interest in applications ranging from food production to wildlife management. We use concepts dynamical systems theory present a model-based method for quantifying the risk impending irregularity.
When initially introduced into a susceptible population, disease may die out or result in major outbreak. We present Continuous-Time Markov Chain model for enzootic WNV transmission between two avian host species and single vector, use multitype branching process theory to determine the probability of extinction based upon type infected individual introducing population – an exposed infectious either species. explore how likelihood depends on ability each transmit WNV, vector biting rates...
Abstract Allelochemicals produced by plants may be ingested herbivorous insects and transferred to higher trophic levels with potentially deleterious effects. We develop a system of differential equations investigate the effect transfer allelochemicals, such as nicotine, on population dynamics hosts, parasitoids, two competing hyperparasitoids that attack different life stages parasitoids. find both somewhat effects nicotine larvae‐attacking increased rates for pupae‐attacking can promote...
We develop a host-vector model of West Nile virus (WNV) transmission that incorporates multiple avian host species as well stage-structure (juvenile and adult stages), allowing for both species-specific stage-specific biting rates vectors on hosts. use this ordinary differential equation to explore WNV dynamics occur between structured populations result heterogeneous and/or life stages. Our analysis shows increased exposure juvenile hosts generally results in larger outbreaks infectious...
In this paper we extend the results of Franke and Yakubu in [5] for extinction discrete competitive patch models. For a system $n$ species on $m$ patches, define conditions under which one is ``superior competitor' to another show that sufficient drive extinction. We also illustrate result with an example three patches.
Abstract Throughout the vector-borne disease modeling literature, there exist two general frameworks for incorporating vector management strategies (e.g. area-wide adulticide spraying and larval source reduction campaigns) into population models, namely, “implicit” “explicit” control frameworks. The more simplistic framework facilitates derivation of mathematically rigorous results on suppression optimal control, but biological connection these to realworld actions that could guide specific...
Abstract As schools prepare for the start of Fall 2020 semester, many are struggling to make decisions regarding whether or not return on-campus classes remain fully online. Unfortunately, there is no ‘one-size-fits-all’ answer, and must balance their own risks against costs remote learning. We present a tool that integrates information about study body composition with predictions COVID-19 infection rates in order provide clarity insight into facing colleges universities nationwide. Our...