William H. Barker
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Assistant Professor
Also affiliated: Dartmouth College (1975); Binghamton University (1968); Bowdoin College (1984–2007)
Faculty Researcher
Research Areas
Biomedical Subjects
Links
Biography and Research Information
OverviewAI-generated summary
William H. Barker's research focuses on the mathematical analysis of differential equations and population dynamics models. His recent work investigates the existence of traveling waves in various models, including the Nicholson Blowflies model with delayed diffusion, nonlocal Fisher–KPP equations with diffusive delay, and Lotka Volterra type models with delayed diffusion and partial quasimonotonicity. He also studies monotone traveling waves in discrete population models with long-term memory.
Barker's publications also extend to theoretical aspects of differential geometry, specifically the rigidity properties of p-biharmonic maps and p-biharmonic submanifolds. In a different area, he has contributed to understanding the behavior of Internet of Things devices through a methodology for characterizing their network behavior. Barker has a citation count of 241 and an h-index of 8 across 35 publications. He has collaborated with researchers such as Nguyễn Văn Minh and Ahlam Alzahrani at the University of Arkansas at Little Rock.
Metrics
- h-index: 8
- Publications: 35
- Citations: 242
Selected Publications
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Traveling wave solutions for a nonlocal dispersal SIR model with delayed transmission (2026)
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Existence of Traveling Waves of Lotka Volterra Type Models with Delayed Diffusion Term and Partial Quasimonotonicity (2026)
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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
- Traveling waves for nonlocal Fisher–KPP equations with diffusive delay
- Existence of bounded asymptotic solutions of autonomous differential equations
- Monotone traveling wave solutions of Mackey–Glass reaction diffusion equation with delayed diffusion term
- Existence of bounded asymptotic solutions of autonomous differential equations
- Existence of Bounded Asymptotic Solutions of Autonomous Differential Equations
- Traveling waves for nonlocal Fisher–KPP equations with diffusive delay
- Monotone traveling wave solutions of Mackey–Glass reaction diffusion equation with delayed diffusion term
- Monotone traveling waves in a general discrete model for populations with long term memory
- 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
- Existence of Bounded Asymptotic Solutions of Autonomous Differential Equations
- Existence of Bounded Asymptotic Solutions of Autonomous Differential Equations
- Existence of bounded asymptotic solutions of autonomous differential equations