TY - JOUR
T1 - Coexistence problem for a prey-predator model with density-dependent diffusion
AU - Kuto, Kousuke
AU - Yamada, Yoshio
N1 - Funding Information:
First author was partially supported by a Grant-in-Aid for Young Scientists (B) (No. 18740093), The Ministry of Education, Culture, Sports, Science and Technology, Japan. Second author was partially supported by a Grant-in-Aid for Scientific Research (C) (No. 18540223), Japan Society for the Promotion of Science.
PY - 2009/12/15
Y1 - 2009/12/15
N2 - We study a prey-predator model with nonlinear diffusions. In a case when the spatial dimension is less than 5, a universal bound for coexistence steady-states is found. By using the bound and the bifurcation theory, we obtain the bounded continuum of coexistence steady-states.
AB - We study a prey-predator model with nonlinear diffusions. In a case when the spatial dimension is less than 5, a universal bound for coexistence steady-states is found. By using the bound and the bifurcation theory, we obtain the bounded continuum of coexistence steady-states.
KW - A priori estimate
KW - Bifurcation
KW - Coexistence steady-states
KW - Cross-diffusion
KW - Nonlinear diffusion of fractional type
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U2 - 10.1016/j.na.2009.05.014
DO - 10.1016/j.na.2009.05.014
M3 - Article
AN - SCOPUS:72149125046
SN - 0362-546X
VL - 71
SP - e2223-e2232
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 12
ER -