| 1 |
H. R. Acakaya, R. Arditi, and L. R. Ginzburg, Ratio-dependent prediction: an abstraction that works, Ecology 76 (1995), 995-1004.
DOI
ScienceOn
|
| 2 |
S. Aly, I. Kim, and D. Sheen, Turing instability for a ratio-dependent predator-prey model with diffusion, Appl. Math. Comp. 217 (2011), no. 17, 7265-7281.
DOI
ScienceOn
|
| 3 |
R. Arditi and A. A. Berryman, The biological control paradox, Trends Ecol. Evol. 6 (1991), 32.
DOI
ScienceOn
|
| 4 |
R. Arditi, L. R. Ginzburg, and H. R. Akcakaya, Variation in plankton densities among lakes: a case for ratio-dependent models, Am. Nat. 138 (1991), 1287-1296.
DOI
ScienceOn
|
| 5 |
M. Baurmann, T. Gross, and U. Feudel, Instabilities in spatially extended predator-prey systems: Spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations, J. Theoret. Biol. 245 (2007), no. 2, 220-229.
DOI
ScienceOn
|
| 6 |
R. G. Casten and C. F. Holland, Stability properties of solutions to systems of reaction-diffusion equations, SIAM J. Appl. Math. 33 (1977), no. 2, 353-364.
DOI
ScienceOn
|
| 7 |
C. Cosner, D. L. DeAngelis, J. S. Ault, and D. B. Olson, Effects of spatial grouping on the functional response of predators, Theor. Popul. Biol. 56 (1999), 65-75.
DOI
ScienceOn
|
| 8 |
C. Duque, K. Kiss, and M. Lizana, On the dynamics of an n-dimensional ratio-dependent predator-prey system with diffusion, Appl. Math. Comp. 208 (2009), no. 1, 98-105.
DOI
ScienceOn
|
| 9 |
C. Duque and M. Lizana, Global asymptotic stability of a ratio dependent predator prey system with diffusion and delay, Period. Math. Hungar. 56 (2008), no. 1, 11-23.
DOI
|
| 10 |
P. Grindrod, Patterns and Waves, Clarendon Press, Oxford, 1991.
|
| 11 |
K. Kiss, n-Dimensional ratio-dependent predator-prey systems with diffusion, Appl. Math. Comput. 205 (2008), no. 2, 325-335.
DOI
ScienceOn
|
| 12 |
K. Kiss and Kovacs, Qualitative behavior of n-dimensional ratio-dependent predator-prey systems, Appl. Math. Comp. 199 (2008), 535-546.
DOI
ScienceOn
|
| 13 |
K. Kiss and J. Toth, n-dimensional ratio-dependent predator-prey systems with memory, Diff. Equ. Dyn. Syst. 17 (2009), no. 1-2, 17-35.
DOI
|
| 14 |
B. Mukhopadhyay and R. Bhattacharyya, Modeling the role of diffusion coefficients on Turing instability in a reaction-diffusion prey-predator system, Bull. Math. Biol. 68 (2006), no. 2, 293-313.
DOI
ScienceOn
|
| 15 |
A. Okubo and S. A. Levin, Diffusion and Ecological Problems: Modern Perspectives, Second ed., Springer, Berlin, 2000.
|
| 16 |
J. Zhou and C. L. Mu, Coexistence states of a Holling type-II predator-prey system, J. Math. Anal. Appl. 369 (2010), no. 2, 555-563.
DOI
ScienceOn
|
| 17 |
P. Y. H. Pang and M. X. Wang, Qualitative analysis of a ratio-dependent predator prey system with diffusion, Proc. Roy. Soc. Edinburgh Sect. A 133 (2003), no. 4, 919-942.
DOI
ScienceOn
|
| 18 |
M. X. Wang and Peter Y. H. Pang, Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model, Appl. Math. Lett. 21 (2008), no. 11, 1215-1220.
DOI
ScienceOn
|
| 19 |
Q. X. Ye, Z. Y. Li, M. X. Wang, and Y. P. Wu, An Introduction to Reaction-Diffusion Equations, Second, edition (in chinese), Scientific Press, 2011.
|
| 20 |
J. Zhou and C. L. Mu, Positive solutions for a three-trophic food chain model with diffusion and Beddington-Deangelis functional response, Nonlinear Anal. Real World Appl. 12 (2011), no. 2, 902-917.
DOI
ScienceOn
|
| 21 |
J. Zhou and C. L. Mu, Coexistence of a diffusive predator-prey model with Holling type-II functional response and density dependent mortality, J. Math. Anal. Appl. 385 (2012), no. 2, 913-927.
DOI
ScienceOn
|
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