-
1
-
-
0000497705
-
Stability in models of mutualism
-
Goh B.S. Stability in models of mutualism. Am. Nat. 1979, 113:261-275.
-
(1979)
Am. Nat.
, vol.113
, pp. 261-275
-
-
Goh, B.S.1
-
2
-
-
0022593199
-
Simple mathematical models for cannibalism: a critique and a new approach
-
Diekmann O., Nisbet R., Gurney W., Bosch F. Simple mathematical models for cannibalism: a critique and a new approach. Math. Biosci. 1986, 78:21-46.
-
(1986)
Math. Biosci.
, vol.78
, pp. 21-46
-
-
Diekmann, O.1
Nisbet, R.2
Gurney, W.3
Bosch, F.4
-
6
-
-
0025132577
-
A time-delay model of single-species growth with stage structure
-
Aiello W.G., Freedman H.I. A time-delay model of single-species growth with stage structure. Math. Biosci. 1990, 101:139-153.
-
(1990)
Math. Biosci.
, vol.101
, pp. 139-153
-
-
Aiello, W.G.1
Freedman, H.I.2
-
7
-
-
0001687872
-
Analysis of a model representing stage-structured population growth with state-dependent time delay
-
Aiello W.G., Freedman H.I., Wu J. Analysis of a model representing stage-structured population growth with state-dependent time delay. SIAM J. Appl. Math. 1992, 52:855-869.
-
(1992)
SIAM J. Appl. Math.
, vol.52
, pp. 855-869
-
-
Aiello, W.G.1
Freedman, H.I.2
Wu, J.3
-
8
-
-
1642421831
-
Stability and traveling fronts in Lotka-Volterra competition models with stage structure
-
AL-Omari J.F.M., Gourley S.A. Stability and traveling fronts in Lotka-Volterra competition models with stage structure. SIAM J. Appl. Math. 2003, 63:2063-2086.
-
(2003)
SIAM J. Appl. Math.
, vol.63
, pp. 2063-2086
-
-
AL-Omari, J.F.M.1
Gourley, S.A.2
-
9
-
-
0000664623
-
Persistence and global asymptotical stability of single species dispersal model with stage structure
-
Freedman H.I., Wu J. Persistence and global asymptotical stability of single species dispersal model with stage structure. Quart. Appl. Math. 1991, 49:351-371.
-
(1991)
Quart. Appl. Math.
, vol.49
, pp. 351-371
-
-
Freedman, H.I.1
Wu, J.2
-
10
-
-
15844390604
-
A stage structured predator-prey model and its dependence on maturation delay and death rate
-
Gourley S.A., Kuang Y. A stage structured predator-prey model and its dependence on maturation delay and death rate. J. Math. Biol. 2004, 49:188-200.
-
(2004)
J. Math. Biol.
, vol.49
, pp. 188-200
-
-
Gourley, S.A.1
Kuang, Y.2
-
11
-
-
32044440101
-
A reaction-diffusion model for a single species with age structure. I. Travelling fronts on unbounded domains
-
SO Joseph W.-H., Wu J., Zou X. A reaction-diffusion model for a single species with age structure. I. Travelling fronts on unbounded domains. Proc. R. Soc. Lond. A 2001, 457:1-13.
-
(2001)
Proc. R. Soc. Lond. A
, vol.457
, pp. 1-13
-
-
SO Joseph, W.-H.1
Wu, J.2
Zou, X.3
-
13
-
-
0035866130
-
Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
-
Faria T. Stability and bifurcation for a delayed predator-prey model and the effect of diffusion. J. Math. Anal. Appl. 2001, 254:433-463.
-
(2001)
J. Math. Anal. Appl.
, vol.254
, pp. 433-463
-
-
Faria, T.1
-
14
-
-
84972541997
-
Dynamic theory of quasi-linear parabolic equations. II: Reaction-diffusion systems
-
Amann H. Dynamic theory of quasi-linear parabolic equations. II: Reaction-diffusion systems. Diff. Int. Eqn. 1990, 3:13-75.
-
(1990)
Diff. Int. Eqn.
, vol.3
, pp. 13-75
-
-
Amann, H.1
-
15
-
-
0030609326
-
Systems of parabolic equations with continuous and discrete delays
-
Pao C.V. Systems of parabolic equations with continuous and discrete delays. J. Math. Anal. Appl. 1997, 205:157-185.
-
(1997)
J. Math. Anal. Appl.
, vol.205
, pp. 157-185
-
-
Pao, C.V.1
-
16
-
-
0030584597
-
Dynamics of nonlinear parabolic systems with time delays
-
Pao C.V. Dynamics of nonlinear parabolic systems with time delays. J. Math. Anal. Appl. 1996, 198:751-779.
-
(1996)
J. Math. Anal. Appl.
, vol.198
, pp. 751-779
-
-
Pao, C.V.1
-
17
-
-
0001289473
-
Reaction-diffusion equations with infinite delay
-
Ruan S., Wu J. Reaction-diffusion equations with infinite delay. Can. Appl. Math. Quart. 1994, 2:485-550.
-
(1994)
Can. Appl. Math. Quart.
, vol.2
, pp. 485-550
-
-
Ruan, S.1
Wu, J.2
-
18
-
-
0343717093
-
Traveling wave fronts of reaction-diffusion systems with delay
-
Wu J., Zou X. Traveling wave fronts of reaction-diffusion systems with delay. J. Dynam. Diff. Eqn. 2001, 13:651-687.
-
(2001)
J. Dynam. Diff. Eqn.
, vol.13
, pp. 651-687
-
-
Wu, J.1
Zou, X.2
-
19
-
-
77954034581
-
Asymptotic behavior of solution of a cooperative-competitive reaction-diffusion equation
-
Li Z.Y. Asymptotic behavior of solution of a cooperative-competitive reaction-diffusion equation. J. Acta Math. Appl. Sin. 1984, 7:436-450.
-
(1984)
J. Acta Math. Appl. Sin.
, vol.7
, pp. 436-450
-
-
Li, Z.Y.1
-
20
-
-
84972500158
-
Some coexistence and extinction results in a three species ecological model
-
Feng W., Lu X. Some coexistence and extinction results in a three species ecological model. Diff. Int. Eqn. 1995, 8:617-626.
-
(1995)
Diff. Int. Eqn.
, vol.8
, pp. 617-626
-
-
Feng, W.1
Lu, X.2
-
21
-
-
38249033242
-
A reaction-diffusion system of a competitor-competitor-mutualist model
-
Zheng S. A reaction-diffusion system of a competitor-competitor-mutualist model. J. Math. Ana1. Appl. 1993, 124:254-280.
-
(1993)
J. Math. Ana1. Appl.
, vol.124
, pp. 254-280
-
-
Zheng, S.1
-
22
-
-
0035508060
-
Persistence in a periodic competitor-competitor-mutualist diffusion system
-
Fu S.M., Cui S.B. Persistence in a periodic competitor-competitor-mutualist diffusion system. J. Math. Ana1. Appl. 2001, 263:234-245.
-
(2001)
J. Math. Ana1. Appl.
, vol.263
, pp. 234-245
-
-
Fu, S.M.1
Cui, S.B.2
-
23
-
-
0038346725
-
Global asymptotic stability of Lotka-Volterra 3-species reaction-diffusion systems with time delays
-
Pao C.V. Global asymptotic stability of Lotka-Volterra 3-species reaction-diffusion systems with time delays. J. Math. Anal. Appl. 2003, 281:86-204.
-
(2003)
J. Math. Anal. Appl.
, vol.281
, pp. 86-204
-
-
Pao, C.V.1
-
24
-
-
0000495826
-
A study of 3-species prey-predator reaction-diffusions by monotone schemes
-
Leung A. A study of 3-species prey-predator reaction-diffusions by monotone schemes. J. Math. Anal. Appl. 1984, 100:583-604.
-
(1984)
J. Math. Anal. Appl.
, vol.100
, pp. 583-604
-
-
Leung, A.1
-
25
-
-
0942289481
-
Blowup in a three-species cooperating model
-
Kim K.I., Lin Z. Blowup in a three-species cooperating model. Appl. Math. Lett. 2004, 17:89-94.
-
(2004)
Appl. Math. Lett.
, vol.17
, pp. 89-94
-
-
Kim, K.I.1
Lin, Z.2
-
26
-
-
2442435823
-
Blowup estimates for a parabolic system in a three-species cooperating model
-
Kim K.I., Lin Z. Blowup estimates for a parabolic system in a three-species cooperating model. J. Math. Anal. Appl. 2004, 293:663-676.
-
(2004)
J. Math. Anal. Appl.
, vol.293
, pp. 663-676
-
-
Kim, K.I.1
Lin, Z.2
-
28
-
-
0036131666
-
Convergence of solutions of reaction-diffusion systems with time delays
-
Pao C.V. Convergence of solutions of reaction-diffusion systems with time delays. Nonlinear Anal. 2002, 48:349-362.
-
(2002)
Nonlinear Anal.
, vol.48
, pp. 349-362
-
-
Pao, C.V.1
-
32
-
-
35348895082
-
Existence of positive periodic solution of mutualism system with infinite delays
-
Xia Y., Lin M. Existence of positive periodic solution of mutualism system with infinite delays. Ann. Diff. Eqn. 2005, 21:448-453.
-
(2005)
Ann. Diff. Eqn.
, vol.21
, pp. 448-453
-
-
Xia, Y.1
Lin, M.2
-
33
-
-
33747083973
-
Existence of positive solution of multidelays facultative mutualism system
-
Yang F., Ying D. Existence of positive solution of multidelays facultative mutualism system. J. Eng. Math. 2002, 3:64-68.
-
(2002)
J. Eng. Math.
, vol.3
, pp. 64-68
-
-
Yang, F.1
Ying, D.2
-
34
-
-
0031260789
-
Persistence, attractivity, and delay in facultative mutualism
-
Gopalsamy K., He X.Z. Persistence, attractivity, and delay in facultative mutualism. J. Math. Anal. Appl. 1997, 215:154-173.
-
(1997)
J. Math. Anal. Appl.
, vol.215
, pp. 154-173
-
-
Gopalsamy, K.1
He, X.Z.2
-
35
-
-
35349019754
-
Existence and stability of periodic solutions for parabolic systems with time delays
-
Wang C.Y. Existence and stability of periodic solutions for parabolic systems with time delays. J. Math. Anal. Appl. 2008, 339:1354-1361.
-
(2008)
J. Math. Anal. Appl.
, vol.339
, pp. 1354-1361
-
-
Wang, C.Y.1
-
36
-
-
70349506313
-
Oscillation of partial population model with diffusion and delay
-
Wang C.Y., Wang S. Oscillation of partial population model with diffusion and delay. Appl. Math. Lett. 2009, 22:1793-1797.
-
(2009)
Appl. Math. Lett.
, vol.22
, pp. 1793-1797
-
-
Wang, C.Y.1
Wang, S.2
-
37
-
-
77951207717
-
Oscillation of a class of partial functional population model
-
Wang C.Y., Wang S., Yan X.P., Li L.R. Oscillation of a class of partial functional population model. J. Math. Ana1. Appl. 2010, 368:32-42.
-
(2010)
J. Math. Ana1. Appl.
, vol.368
, pp. 32-42
-
-
Wang, C.Y.1
Wang, S.2
Yan, X.P.3
Li, L.R.4
-
38
-
-
77954030747
-
Singular perturbation problems of three-species food-chain reaction diffusion models
-
Wang C.Y., Gong F., Wang S. Singular perturbation problems of three-species food-chain reaction diffusion models. J. Pure Appl. Math.: Adv. Appl. 2010, 3:137-146.
-
(2010)
J. Pure Appl. Math.: Adv. Appl.
, vol.3
, pp. 137-146
-
-
Wang, C.Y.1
Gong, F.2
Wang, S.3
|