[1] |
L. Michaelis, M. L. Menten, Die Kinetik der Invertinwerkung, Biochemische Zeitschrift 49 (1913), 333-369. |
[2] |
T. Wang, L. Chen, Global analysis of a three-dimensional delayed Michaelis-Menten chemostat-type models with pulsed input, J. Appl. Math. Comput. 35(2011), 211-227. · Zbl 1216.34085 |
[3] |
S. B. Hsu, T. W. Hwang, Y. Kuang, Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system, J. Math. Biol. 42(2001), 489-506. · Zbl 0984.92035 |
[4] |
R. Peng, M. Wang, Positive steady states of the Holling-Tanner prey-predator model with diffusion, Proc. Roy. Soc. Edinburgh Sect. A 135(2005), 149-164. · Zbl 1144.35409 |
[5] |
R. Peng, M. Wang, Global stability of the equilibrium of a diffusive Holling-Tanner prey-predador model, Appl. Math. Lett. 20(2007), 664-670. · Zbl 1125.35009 |
[6] |
S. S. Chen, J. P. Shi, Global stability in a diffusive Holling-Tanner predator-prey model, Appl. Math. Lett. 25(2012), 614-618. · Zbl 1387.35334 |
[7] |
J. T. Tanner, The stability and the intrinsic growth rates of prey and predator populations, Ecology 56(1975), 855-867. |
[8] |
R. M. May, Stability and complexity in model ecosystems, Princeton University Press, 1973. |
[9] |
P. H. Leslie, Some further notes on the use of matrices in population mathematics, Biometrika 35(1948), 213-245. · Zbl 0034.23303 |
[10] |
P. H. Leslie, J. C. Gower, The properties of a stochastic model for the predator-prey type of interaction between two species, Biometrika 47(1960), 219-234. · Zbl 0103.12502 |
[11] |
Y. Qi, Y. Zhu, The study of global stability of a diffusive Holling-Tanner predator-prey model, Appl. Math. Lett. 57(2016), 132-138. · Zbl 1334.35132 |
[12] |
Y. H. Fan, W. T. Li, Global asymptotic stability of a ratio-dependent predator-prey system with diffusion, J. Comput. Appl. Math. 188(2006), 205-227. · Zbl 1093.35039 |
[13] |
Y. H. Fan, W. T. Li, Permanence in delayed ratio-dependent predator-prey models with monotonic functional responses, Nonlinear Anal. Real. World. Appl. 8(2007), 424-434. · Zbl 1152.34368 |
[14] |
Y. H. Fan, L. L. Wang, On a generalized discrete ratio-dependent predator-prey system, Discrete Dyn. Nat. Soc. 2009(2009), 332-337. |
[15] |
Y. H. Fan, L. L. Wang, Multiplicity of periodic solutions for a delayed ratio-dependent predator-prey model with Holling type III functional response and harvesting terms, J. Math. Anal. Appl. 365(2010), 525-540. · Zbl 1188.34112 |
[16] |
Y. H. Fan, L. L. Wang, Average conditions for the permanence of a bounded discrete predator-prey system, Discrete Dyn. Nat. Soc. 2013(2013), 1375-1383. · Zbl 1417.92130 |
[17] |
H. B. Shi, Y. Li, Global asymptotic stability of a diffusive predator-prey model with ratio-dependent functional response, Appl. Math Comput. 250(2015), 71-77. · Zbl 1328.35253 |
[18] |
X. Song, A. Neumann, Global stability and periodic solution of the viral dynamics, J. Math. Anal. Appl. 329(2007), 281-297. · Zbl 1105.92011 |
[19] |
W. Ni, J. Wei, On positive solutions concentrating on spheres for the Gierer-Meinhardt model, J. Differ. Equ. 221(2006), 158-189. · Zbl 1090.35023 |
[20] |
C. Bianca, F. Pappalardo, S. Motta, M. A. Ragusa, Persistence analysis in a Kolmogorov-type model for cancer-immune system competition, AIP Conference Proceedings 1558(2013), 1797-1800. |
[21] |
A. Barbagallo, M. A. Ragusa, On Lagrange duality theory for dynamics vaccination games, Ricerche di Mathematica 67(2), 969-982 · Zbl 1403.49031 |