Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion

By Y. Choi, R. Lui, Yoshio Yamada. 2003

69 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/65ea48b582267ebb3767eec9a596805603ba8fe6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. A. Jungel
2. Yuan Lou
3. Xiuqing Chen
4. Xiao-Qiang Zhao
5. Esther S. Daus
6. Rui Peng

In Modeling and Simulation

1. A. Jungel
2. Yuan Lou
3. Mingxin Wang
4. Xiuqing Chen
5. Esther S. Daus

In Public Health, Environmental and Occupational Health

1. A. Jungel
2. Yuan Lou
3. Chris Cosner
4. Mingxin Wang
5. Peng Zhou
6. Wei-Ming Ni
7. Rui Peng
8. Xiaoqing He

Citations in the corpus

• Diffusive and nondiffusive population models (2010, methodology): “The system in any space dimension was treated by Choi, Lui, and Yamada [26] under the hypotheses that the cross-diffusion in the equation for u is sufficiently small and that there is no self-diffusion in the equation for v.”
• Global Bifurcation Diagrams of Steady States of Systems of PDEs via Rigorous Numerics: a 3-Component Reaction-Diffusion System (2013, unknown): “see [7–9] and the references therein).”
• Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics (2008, methodology): “For competition models with densitydependent diffusion, we refer to [ 27 , 69, 83, 87, 88, 89, 93, 95, 97, 98, 116] and references therein.”