What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Ecology
Junping Shi mainly investigates Mathematical analysis, Bifurcation, Bounded function, Hopf bifurcation and Allee effect.
His work deals with themes such as Instability, Transcritical bifurcation, Bifurcation theory and Nonlinear system, which intersect with Mathematical analysis.
His Nonlinear system research is multidisciplinary, incorporating perspectives in Zero and Applied mathematics.
His Bifurcation research is multidisciplinary, incorporating perspectives in Multiplicity and Pure mathematics, Unit sphere.
In his works, he performs multidisciplinary study on Bounded function and Kirchhoff integral theorem.
The Reaction–diffusion system study combines topics in areas such as Steady state and Neumann boundary condition.
His most cited work include:
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator–prey system (302 citations)
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator–prey system (302 citations)
- Existence of a positive solution to Kirchhoff type problems without compactness conditions (243 citations)
What are the main themes of his work throughout his whole career to date?
Junping Shi mainly focuses on Mathematical analysis, Bifurcation, Reaction–diffusion system, Applied mathematics and Nonlinear system.
His research integrates issues of Hopf bifurcation, Bifurcation theory and Bifurcation diagram in his study of Mathematical analysis.
The concepts of his Hopf bifurcation study are interwoven with issues in Neumann boundary condition and Characteristic equation.
His Bifurcation study integrates concerns from other disciplines, such as Multiplicity, Ordinary differential equation and Implicit function theorem.
His work carried out in the field of Reaction–diffusion system brings together such families of science as Steady state, Statistical physics and Constant.
His Applied mathematics research includes elements of Mathematical optimization, Term, Uniqueness and Stability theory.
He most often published in these fields:
- Mathematical analysis (68.52%)
- Bifurcation (33.33%)
- Reaction–diffusion system (31.94%)
What were the highlights of his more recent work (between 2018-2021)?
- Reaction–diffusion system (31.94%)
- Statistical physics (14.81%)
- Applied mathematics (19.91%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Reaction–diffusion system, Statistical physics, Applied mathematics, Steady state and Mathematical analysis.
His biological study spans a wide range of topics, including Bifurcation theory, Atmospheric sciences, Ecosystem, Advection and Hopf bifurcation.
His work deals with themes such as Bifurcation methods and Bifurcation, which intersect with Statistical physics.
His study looks at the relationship between Applied mathematics and fields such as Dynamics, as well as how they intersect with chemical problems.
His research investigates the link between Steady state and topics such as Spatiotemporal pattern that cross with problems in Constant.
His research on Mathematical analysis often connects related areas such as Nonlinear system.
Between 2018 and 2021, his most popular works were:
- Persistence and extinction of population in reaction–diffusion–advection model with strong Allee effect growth (13 citations)
- Ground state solutions of Nehari-Pohozaev type for the planar Schrödinger-Poisson system with general nonlinearity (12 citations)
- Population Dynamics in River Networks (11 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Ecology
His primary areas of investigation include Reaction–diffusion system, Applied mathematics, Extinction, Statistical physics and Allee effect.
His Reaction–diffusion system study incorporates themes from Biophysics, Hopf bifurcation, Neumann boundary condition and Positive feedback.
In his work, Mathematical analysis is strongly intertwined with Plane, which is a subfield of Hopf bifurcation.
His work in the fields of Applied mathematics, such as Competitive Lotka–Volterra equations, overlaps with other areas such as Competition model, Structure and Biological dispersal.
His Statistical physics study combines topics in areas such as Steady state and Exponential stability.
His Steady state research is multidisciplinary, incorporating elements of Term, Spatiotemporal pattern, Partial differential equation and Ordinary differential equation.
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