William H. Barker Data-verified
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Assistant Professor
faculty
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Biography and Research Information
OverviewAI-generated summary
William H. Barker's research focuses on the mathematical analysis of differential equations, particularly those involving traveling waves and asymptotic solutions. His recent work investigates the existence and properties of these waves in various models, including those with delayed diffusion terms, nonlocal Fisher–KPP equations, and Lotka Volterra type models. He has also explored monotone traveling waves in discrete models incorporating long-term memory. Additionally, Barker has contributed to methodology for characterizing network behavior in Internet of Things devices.
Barker holds an h-index of 8 and has published 36 total citations, accumulating 238 citations. He has a history of collaboration with researchers at the University of Arkansas at Little Rock, including William Barker (14 shared publications) and Nguyễn Văn Minh (5 shared publications). His most recent publication was in 2024, indicating ongoing activity in his research areas.
Metrics
- h-index: 8
- Publications: 36
- Citations: 241
Selected Publications
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Monotone traveling wave solutions of Mackey–Glass reaction diffusion equation with delayed diffusion term (2025)
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Existence of bounded asymptotic solutions of autonomous differential equations (2025)
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Traveling waves for nonlocal Fisher–KPP equations with diffusive delay (2025)
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Existence of Bounded Asymptotic Solutions of Autonomous Differential Equations (2025)
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Rigidity properties of p-biharmonic maps and p-biharmonic submanifolds (2024)
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Monotone traveling waves in a general discrete model for populations with long term memory (2023)
Collaboration Network
Top Collaborators
- Particle spectra of general Ricci-type Palatini or metric-affine theories
- Rigidity properties of p-biharmonic maps and p-biharmonic submanifolds
- Rigidity properties of p-biharmonic maps and p-biharmonic submanifolds
- Rigidity properties of p-biharmonic maps and p-biharmonic submanifolds