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zh08(½ð±Ò+30): ÎÒÐèÒªµÄÊÇISIºÅ 2011-10-05 23:48:35
FN Thomson Reuters Web of Knowledge
VR 1.0
PT  J
AU  Xu, SH
Lv, WD
AF  Xu, Shenghu
Lv, Weidong
TI  EXISTENCE OF GLOBAL SOLUTIONS FOR A PREY-PREDATOR MODEL WITH CROSS-DIFFUSION
SO  INTERNATIONAL JOURNAL OF BIOMATHEMATICS
LA  English
DT  Article
DE  Cross-diffusion; classical solutions; ratio dependent functional response
ID  QUALITATIVE-ANALYSIS; SYSTEM
AB  In this paper, a ratio-dependent prey-predator model with cross-diffusion and homogeneous Neumann boundary condition is studied. Using the energy estimates and the bootstrap arguments, the global existence of solutions for the model is investigated when the space dimension is less than ten.
C1  [Xu, SH; Lv, WD] Longdong Univ, Dept Math, Qingyang 745000, Peoples R China
RP  Xu, SH (reprint author), Longdong Univ, Dept Math, Qingyang 745000, Peoples R China
EM  xuluck2001@163.com lvweidong2004@163.com
FU  Longdong University[XYZK-0804]; Fund's Gansu Province[0810-03]
FX  The authors are grateful to the helpful comments and suggestions. This work was partially supported by the Longdong University Grant XYZK-0804 and Colleges and Universities Graduate Research Adviser of the Fund's Gansu Province Grant 0810-03.
NR  19
TC  0
Z9  0
PU  WORLD SCIENTIFIC PUBL CO PTE LTD
PI  SINGAPORE
PA  5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
SN  1793-5245
J9  INT J BIOMATH
JI  Int. J. Biomath.
PD  JUN
PY  2010
VL  3
IS  2
BP  161
EP  172
DI  10.1142/S1793524510000908
PG  12
WC  Mathematical & Computational Biology
SC  Mathematical & Computational Biology
GA  616EU
UT  WOS:000279192500002
ER  

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FN Thomson Reuters Web of Knowledge
VR 1.0
PT  J
AU  Xu, SH
Lv, WD
AF  Xu, Shenghu
Lv, Weidong
TI  EXISTENCE OF GLOBAL SOLUTIONS FOR A PREY-PREDATOR MODEL WITH CROSS-DIFFUSION
SO  I ...

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