| 1 |
Pang P Y H , Wang M X . Strategy and stationary pattern in a three-species predator-prey model. J Diff Eqns, 2004, 200 (2): 245- 273
doi: 10.1016/j.jde.2004.01.004
|
| 2 |
Pang P Y H , Wang M X . Qualitative analysis of a ratio-dependent predator-prey system with diffusion. Proc Roy Soc Edinburgh, 2003, 133A (4): 919- 942
|
| 3 |
Arditi R , Ginzburg L R . Coupling in predator-prey dynamics: ratio-dependence. J Theor Biol, 1989, 139, 311- 326
doi: 10.1016/S0022-5193(89)80211-5
|
| 4 |
Wang Z G , Wu J H . Qualitative analysis for a ratio-dependent predator-prey model with stage structure and diffusion. Nonlinear Analysis: Real World Applications, 2008, 9 (5): 2270- 2287
doi: 10.1016/j.nonrwa.2007.08.004
|
| 5 |
Jost C , Arino O , Arditi R . About deterministic extinction in ratio-dependent predator-prey models. Bull Math Biol, 1999, 61 (1): 19- 32
doi: 10.1006/bulm.1998.0072
|
| 6 |
Yi F Q , Wei J J , Shi J P . Diffusion-driven instability and bifurcation in the Lengyel-Epstein system. Nonlinear Analysis: Real World Applications, 2008, 9, 1038- 1051
doi: 10.1016/j.nonrwa.2007.02.005
|
| 7 |
Du Y H , Hsu S B . A diffusive predator-prey model in heterogeneous environment. J Diff Eqns, 2004, 203 (2): 331- 364
doi: 10.1016/j.jde.2004.05.010
|
| 8 |
Yousefnezhad M , Mohammadi S A . Stability of a predator-prey system with prey taxis in a general class of functional responses. Acta Mathematica Scientia, 2016, 36B (1): 62- 72
|
| 9 |
Lin Z G , Pedersen M . Stability in a diffusive food-chain model with Michaelis-Menten functional response. Nonlinear Analysis: Theory Methods & Applications, 2004, 57, 421- 433
|
| 10 |
Liu M , Wang K . Global stability of stage-structured predator-prey models with Beddington-DeAngelis functional response. Commun Nonlinear Sci Numer Simula, 2011, 16 (9): 3792- 3797
doi: 10.1016/j.cnsns.2010.12.026
|
| 11 |
Henry D. Geometric Theory of Semilinear Parabolic Equations. Berlin: Springer-Verlag, 1993
|
| 12 |
Brown K J , Dunne P C , Gardner R A . A semilinear parabolic system arising in the theory of superconductivity. J Diff Equa, 1981, 40, 232- 252
doi: 10.1016/0022-0396(81)90020-6
|
| 13 |
王明新. 非线性抛物型方程. 北京: 科学出版社, 1993
|
|
Wang M X . Nonlinear Parabolic Equation of Parabolic Type. Beijing: Science Press, 1993
|
),梁子维2