-
1
-
-
0242364789
-
Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-Type II schemes
-
Aziz-Alaoui M.A., and Okiye M.D. Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-Type II schemes. Appl. Math. Lett. 16 (2003) 1069-1075
-
(2003)
Appl. Math. Lett.
, vol.16
, pp. 1069-1075
-
-
Aziz-Alaoui, M.A.1
Okiye, M.D.2
-
2
-
-
3343010401
-
A diffusive predator-prey model in heterogeneous environment
-
Du Y.H., and Hsu S.B. A diffusive predator-prey model in heterogeneous environment. J. Differential Equations 203 2 (2004) 331-364
-
(2004)
J. Differential Equations
, vol.203
, Issue.2
, pp. 331-364
-
-
Du, Y.H.1
Hsu, S.B.2
-
3
-
-
33748289423
-
Asymptotic behaviour of positive steady-states to a predator-prey model
-
Du Y.H., and Wang M.X. Asymptotic behaviour of positive steady-states to a predator-prey model. Proc. Roy. Soc. Edinburgh A 136 (2006) 759-779
-
(2006)
Proc. Roy. Soc. Edinburgh A
, vol.136
, pp. 759-779
-
-
Du, Y.H.1
Wang, M.X.2
-
4
-
-
14644406942
-
Positive steady-states of the Holling-Tanner prey-predator model with diffusion
-
Peng R., and Wang M.X. Positive steady-states of the Holling-Tanner prey-predator model with diffusion. Proc. Roy. Soc. Edinburgh 135A (2005) 149-164
-
(2005)
Proc. Roy. Soc. Edinburgh
, vol.135 A
, pp. 149-164
-
-
Peng, R.1
Wang, M.X.2
-
5
-
-
29944439751
-
On multiplicity and stability of positive solutions of a diffusive prey-predator model
-
Peng R., and Wang M.X. On multiplicity and stability of positive solutions of a diffusive prey-predator model. J. Math. Anal. Appl. 316 (2006) 256-268
-
(2006)
J. Math. Anal. Appl.
, vol.316
, pp. 256-268
-
-
Peng, R.1
Wang, M.X.2
-
6
-
-
0029325665
-
Global stability for a class of predator-prey systems
-
Hsu S.-B., and Huang T.-W. Global stability for a class of predator-prey systems. SIAM J. Appl. Math. 55 (1995) 763-783
-
(1995)
SIAM J. Appl. Math.
, vol.55
, pp. 763-783
-
-
Hsu, S.-B.1
Huang, T.-W.2
-
8
-
-
0002921768
-
Decay to uniform states in ecological interactions
-
Brown P.N. Decay to uniform states in ecological interactions. SIAM J. Appl. Math. 38 (1980) 22-37
-
(1980)
SIAM J. Appl. Math.
, vol.38
, pp. 22-37
-
-
Brown, P.N.1
-
9
-
-
21344446602
-
Practical persistence in ecological models via comparison methods
-
Cantrell R.S., and Cosner C. Practical persistence in ecological models via comparison methods. Proc. Roy. Soc. Edinburgh A 126 (1996) 247-272
-
(1996)
Proc. Roy. Soc. Edinburgh A
, vol.126
, pp. 247-272
-
-
Cantrell, R.S.1
Cosner, C.2
-
10
-
-
0018737036
-
Convergence to homogeneous equilibrium state for generalized Volterra-Lotka system with diffusion
-
de Mottoni P., and Rothe F. Convergence to homogeneous equilibrium state for generalized Volterra-Lotka system with diffusion. SIAM J. Appl. Math. 37 (1979) 648-663
-
(1979)
SIAM J. Appl. Math.
, vol.37
, pp. 648-663
-
-
de Mottoni, P.1
Rothe, F.2
-
11
-
-
23044527512
-
Qualitative behaviour of positive solutions of a predator-prey model: Effects of saturation
-
Du Y.H., and Lou Y. Qualitative behaviour of positive solutions of a predator-prey model: Effects of saturation. Proc. Roy. Soc. Edinburgh A 131 (2001) 321-349
-
(2001)
Proc. Roy. Soc. Edinburgh A
, vol.131
, pp. 321-349
-
-
Du, Y.H.1
Lou, Y.2
-
12
-
-
0141957171
-
Qualitative analysis of a ratio-dependent predator-prey system with diffusion
-
Pang P.Y.H., and Wang M.X. Qualitative analysis of a ratio-dependent predator-prey system with diffusion. Proc. Roy. Soc. Edinburgh 133A 4 (2003) 919-942
-
(2003)
Proc. Roy. Soc. Edinburgh
, vol.133 A
, Issue.4
, pp. 919-942
-
-
Pang, P.Y.H.1
Wang, M.X.2
-
13
-
-
1442279582
-
Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
-
Pang P.Y.H., and Wang M.X. Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion. Proc. London Math. Soc. 88 1 (2004) 135-157
-
(2004)
Proc. London Math. Soc.
, vol.88
, Issue.1
, pp. 135-157
-
-
Pang, P.Y.H.1
Wang, M.X.2
-
14
-
-
0001002603
-
On positive solutions of some pairs of differential equations
-
Dancer E.N. On positive solutions of some pairs of differential equations. Trans. Amer. Math. Soc. 284 (1984) 729-743
-
(1984)
Trans. Amer. Math. Soc.
, vol.284
, pp. 729-743
-
-
Dancer, E.N.1
-
15
-
-
21744459836
-
Some uniqueness and exact multiplicity results for a predator-prey model
-
Du Y.H., and Lou Y. Some uniqueness and exact multiplicity results for a predator-prey model. Trans. Amer. Math. Soc. 349 6 (1997) 2443-2475
-
(1997)
Trans. Amer. Math. Soc.
, vol.349
, Issue.6
, pp. 2443-2475
-
-
Du, Y.H.1
Lou, Y.2
-
16
-
-
84966242093
-
Coexistence theorems of steady-states for predator-prey interacting systems
-
Li L. Coexistence theorems of steady-states for predator-prey interacting systems. Trans. Amer. Math. Soc. 305 (1988) 143-166
-
(1988)
Trans. Amer. Math. Soc.
, vol.305
, pp. 143-166
-
-
Li, L.1
-
17
-
-
0347055376
-
On 3×3 Lotka-Volterra competition systems with cross-diffusion
-
Lou Y., Martinez S., and Ni W.M. On 3×3 Lotka-Volterra competition systems with cross-diffusion. Discrete Contin. Dyn. Syst. 6 1 (2000) 175-190
-
(2000)
Discrete Contin. Dyn. Syst.
, vol.6
, Issue.1
, pp. 175-190
-
-
Lou, Y.1
Martinez, S.2
Ni, W.M.3
-
18
-
-
0030579038
-
Diffusion, self-diffusion and cross-diffusion
-
Lou Y., and Ni W.M. Diffusion, self-diffusion and cross-diffusion. J. Differential Equations 131 (1996) 79-131
-
(1996)
J. Differential Equations
, vol.131
, pp. 79-131
-
-
Lou, Y.1
Ni, W.M.2
-
19
-
-
0033130048
-
Diffusion vs cross-diffusion: An elliptic approach
-
Lou Y., and Ni W.M. Diffusion vs cross-diffusion: An elliptic approach. J. Differential Equations 154 (1999) 157-190
-
(1999)
J. Differential Equations
, vol.154
, pp. 157-190
-
-
Lou, Y.1
Ni, W.M.2
-
20
-
-
1542720931
-
Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model
-
Chen W., and Peng R. Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model. J. Math. Appl. Math. 291 (2004) 550-564
-
(2004)
J. Math. Appl. Math.
, vol.291
, pp. 550-564
-
-
Chen, W.1
Peng, R.2
-
21
-
-
0002542873
-
Large amplitude stationary solutions to a chemotais systems
-
Lin C.S., Ni W.M., and Takagi I. Large amplitude stationary solutions to a chemotais systems. J. Differential Equations 72 (1988) 1-27
-
(1988)
J. Differential Equations
, vol.72
, pp. 1-27
-
-
Lin, C.S.1
Ni, W.M.2
Takagi, I.3
-
22
-
-
0034376967
-
Qualitative behavior of solutions of chemotactic diffusion systems: Effects of motility and chemotaxis and dynamics
-
Wang X.F. Qualitative behavior of solutions of chemotactic diffusion systems: Effects of motility and chemotaxis and dynamics. SIAM J. Math. Anal. 31 3 (2000) 535-560
-
(2000)
SIAM J. Math. Anal.
, vol.31
, Issue.3
, pp. 535-560
-
-
Wang, X.F.1
-
23
-
-
0012335790
-
-
Springer-Verlag, Berlin, New York
-
Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Mathematics vol. 840 (1993), Springer-Verlag, Berlin, New York
-
(1993)
Lecture Notes in Mathematics
, vol.840
-
-
Henry, D.1
-
24
-
-
24944516968
-
Note on a ratio-dependent predator-prey system with diffusion
-
Peng R., and Wang M.X. Note on a ratio-dependent predator-prey system with diffusion. Nonlinear Anal. R.W.A. 7 (2006) 1-11
-
(2006)
Nonlinear Anal. R.W.A.
, vol.7
, pp. 1-11
-
-
Peng, R.1
Wang, M.X.2
|