Biological dispersal, Mathematical analysis, Advection, Habitat and Zero are his primary areas of study. Yuan Lou has researched Biological dispersal in several fields, including Competition and Extinction. His Uniqueness study in the realm of Mathematical analysis interacts with subjects such as Saturation, Saturation rate and Predation.
While the research belongs to areas of Uniqueness, Yuan Lou spends his time largely on the problem of Contrast, intersecting his research to questions surrounding Stability. Yuan Lou usually deals with Zero and limits it to topics linked to Domain and Laplace operator, Bounded function, Boundary, Representation and Elliptic curve. His study in the fields of Ideal free distribution under the domain of Ecology overlaps with other disciplines such as Competition model and Random diffusion.
The scientist’s investigation covers issues in Biological dispersal, Statistical physics, Advection, Mathematical analysis and Reaction–diffusion system. His biological study spans a wide range of topics, including Ecology, Competition, Ideal free distribution and Evolutionarily stable strategy. His Statistical physics study integrates concerns from other disciplines, such as Random diffusion and Constant.
The study incorporates disciplines such as Atmospheric sciences, Mathematical optimization and Stability in addition to Advection. His research in Stability intersects with topics in Competitive Lotka–Volterra equations, Applied mathematics, Work and Steady state. His study on Bounded function, Elliptic operator and Zero is often connected to Degenerate energy levels as part of broader study in Mathematical analysis.
His scientific interests lie mostly in Biological dispersal, Statistical physics, Advection, Stability and Applied mathematics. His Biological dispersal research focuses on Competition and how it connects with Extinction. In Statistical physics, he works on issues like Reaction–diffusion system, which are connected to Strongly monotone.
His research ties Function and Advection together. His studies in Function integrate themes in fields like Competitive Lotka–Volterra equations, Steady state, Work and Boundary value problem. His Evolutionarily stable strategy research includes themes of Ideal free distribution, Ecology and Population model.
Yuan Lou mainly focuses on Applied mathematics, Monotonic function, Stability, Statistical physics and Biological dispersal. His work carried out in the field of Applied mathematics brings together such families of science as Time complexity, Operator, Work and Conjecture. His Monotonic function study combines topics in areas such as Neumann boundary condition and Dirichlet distribution.
The concepts of his Stability study are interwoven with issues in Function, Competitive Lotka–Volterra equations, Steady state and Advection. His Constant research extends to Statistical physics, which is thematically connected. Recurrence relation, Asymptotic expansion, Statistics, Logistic function and Constraint are fields of study that intersect with his Biological dispersal study.
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Diffusion, Self-Diffusion and Cross-Diffusion
Yuan Lou;Wei Ming Ni.
Journal of Differential Equations (1996)
DIFFUSION VS CROSS-DIFFUSION : AN ELLIPTIC APPROACH
Yuan Lou;Wei Ming Ni.
Journal of Differential Equations (1999)
Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
Discrete and Continuous Dynamical Systems (2008)
On the effects of migration and spatial heterogeneity on single and multiple species
Journal of Differential Equations (2006)
Random dispersal vs. non-local dispersal
Chiu-Yen Kao;Yuan Lou;Wenxian Shen.
Discrete and Continuous Dynamical Systems (2009)
On the global existence of a cross-diffusion system
Yuan Lou;Wei Ming Ni;Yaping Wu.
Discrete and Continuous Dynamical Systems (1998)
Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
Linda J. S. Allen;Benjamin M. Bolker;Yuan Lou;Andrew L. Nevai.
Siam Journal on Applied Mathematics (2007)
Some uniqueness and exact multiplicity results for a predator-prey model
Yihong Du;Yuan Lou;Yuan Lou.
Transactions of the American Mathematical Society (1997)
Advection-mediated coexistence of competing species
Robert Stephen Cantrell;Chris Cosner;Yuan Lou.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (2007)
On a limiting system in the Lotka--Volterra competition with cross-diffusion
Yuan Lou;Wei Ming Ni;Shoji Yotsutani.
Discrete and Continuous Dynamical Systems (2003)
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