-
4
-
-
33644673010
-
Asymptotic stability for delayed logistic type equations
-
Faria T. Asymptotic stability for delayed logistic type equations. Math. Comput. Modelling 2006, 43:433-445.
-
(2006)
Math. Comput. Modelling
, vol.43
, pp. 433-445
-
-
Faria, T.1
-
5
-
-
65849210626
-
Almost periodic solutions of a discrete almost periodic logistic equation
-
Li Z., Chen F. Almost periodic solutions of a discrete almost periodic logistic equation. Math. Comput. Modelling 2009, 50:254-259.
-
(2009)
Math. Comput. Modelling
, vol.50
, pp. 254-259
-
-
Li, Z.1
Chen, F.2
-
6
-
-
77950916004
-
Global stability of nonautonomous logistic equations with a piecewise constant delay
-
Li H., Muroyab Y., Nakata Y., Yuan R. Global stability of nonautonomous logistic equations with a piecewise constant delay. Nonlinear Anal. Real World Appl. 2010, 11:2115-2126.
-
(2010)
Nonlinear Anal. Real World Appl.
, vol.11
, pp. 2115-2126
-
-
Li, H.1
Muroyab, Y.2
Nakata, Y.3
Yuan, R.4
-
8
-
-
33749009692
-
On stability and fluctuation in Gompertzian and logistic growth models
-
Samanta G.P., Chakrabarti C.G. On stability and fluctuation in Gompertzian and logistic growth models. Appl. Math. Lett. 1990, 3:119-121.
-
(1990)
Appl. Math. Lett.
, vol.3
, pp. 119-121
-
-
Samanta, G.P.1
Chakrabarti, C.G.2
-
9
-
-
33748995886
-
Influence of environmental noise in Gompertzian growth model
-
Samanta G.P. Influence of environmental noise in Gompertzian growth model. J. Math. Phys. Sci. 1992, 26:503-511.
-
(1992)
J. Math. Phys. Sci.
, vol.26
, pp. 503-511
-
-
Samanta, G.P.1
-
11
-
-
14844315022
-
Ratio-dependent predator-prey model: effect of environmental fluctuation and stability
-
Bandyopadhyay M., Chattopadhyay J. Ratio-dependent predator-prey model: effect of environmental fluctuation and stability. Nonlinearity 2005, 18:913-936.
-
(2005)
Nonlinearity
, vol.18
, pp. 913-936
-
-
Bandyopadhyay, M.1
Chattopadhyay, J.2
-
12
-
-
3042531306
-
Dynamical behaviour of Lotka-Volterra competition systems: nonautonomous bistable case and the effect of telegraph noise
-
Du N.H., Kon R., Sato K., Takeuchi Y. Dynamical behaviour of Lotka-Volterra competition systems: nonautonomous bistable case and the effect of telegraph noise. J. Comput. Appl. Math. 2004, 170:399-422.
-
(2004)
J. Comput. Appl. Math.
, vol.170
, pp. 399-422
-
-
Du, N.H.1
Kon, R.2
Sato, K.3
Takeuchi, Y.4
-
13
-
-
67349155905
-
Stability of predation ecosystem models
-
Jeffries C. Stability of predation ecosystem models. Ecology 1976, 57:1321-1325.
-
(1976)
Ecology
, vol.57
, pp. 1321-1325
-
-
Jeffries, C.1
-
14
-
-
33751110460
-
Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
-
Takeuchi Y., Du N.H., Hieu N.T., Sato K. Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment. J. Math. Anal. Appl. 2006, 323:938-957.
-
(2006)
J. Math. Anal. Appl.
, vol.323
, pp. 938-957
-
-
Takeuchi, Y.1
Du, N.H.2
Hieu, N.T.3
Sato, K.4
-
15
-
-
0018662325
-
The influence of external real and white noise on the Lotka-Volterra model
-
Arnold L., Horsthemke W., Stucki J.W. The influence of external real and white noise on the Lotka-Volterra model. Biomed. J. 1979, 21:451.
-
(1979)
Biomed. J.
, vol.21
, pp. 451
-
-
Arnold, L.1
Horsthemke, W.2
Stucki, J.W.3
-
16
-
-
0000735971
-
Harvesting natural populations in a randomly fluctuating environment
-
Beddington J.R., May R.M. Harvesting natural populations in a randomly fluctuating environment. Science 1977, 197:463-465.
-
(1977)
Science
, vol.197
, pp. 463-465
-
-
Beddington, J.R.1
May, R.M.2
-
17
-
-
33847295610
-
Influence of stochastic perturbation on prey-predator systems
-
Rudnicki R., Pichor K. Influence of stochastic perturbation on prey-predator systems. Math. Biosci. 2007, 206:108-119.
-
(2007)
Math. Biosci.
, vol.206
, pp. 108-119
-
-
Rudnicki, R.1
Pichor, K.2
-
18
-
-
37449001667
-
Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
-
Jiang D., Shi N., Li X. Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation. J. Math. Anal. Appl. 2008, 340:588-597.
-
(2008)
J. Math. Anal. Appl.
, vol.340
, pp. 588-597
-
-
Jiang, D.1
Shi, N.2
Li, X.3
-
19
-
-
67650711514
-
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
-
Li X.Y., Mao X.R. Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Discrete Contin. Dyn. Syst. 2009, 24:523-545.
-
(2009)
Discrete Contin. Dyn. Syst.
, vol.24
, pp. 523-545
-
-
Li, X.Y.1
Mao, X.R.2
-
20
-
-
68349130476
-
Population dynamical behavior of Lotka-Volterra system under regime switching
-
Li X.Y., Jiang D.Q., Mao X.R. Population dynamical behavior of Lotka-Volterra system under regime switching. J. Comput. Appl. Math. 2009, 232:427-448.
-
(2009)
J. Comput. Appl. Math.
, vol.232
, pp. 427-448
-
-
Li, X.Y.1
Jiang, D.Q.2
Mao, X.R.3
-
21
-
-
62549127716
-
Stochastic population dynamics under regime switching II
-
Luo Q., Mao X.R. Stochastic population dynamics under regime switching II. J. Math. Anal. Appl. 2009, 355:577-593.
-
(2009)
J. Math. Anal. Appl.
, vol.355
, pp. 577-593
-
-
Luo, Q.1
Mao, X.R.2
-
22
-
-
72149109277
-
On hybrid competitive Lotka-Volterra ecosystems
-
e1370-e1379
-
Zhu C., Yin G. On hybrid competitive Lotka-Volterra ecosystems. Nonlinear Anal. 2009, 71. e1370-e1379.
-
(2009)
Nonlinear Anal.
, vol.71
-
-
Zhu, C.1
Yin, G.2
-
23
-
-
67349095282
-
On competitive Lotka-Volterra model in random environments
-
Zhu C., Yin G. On competitive Lotka-Volterra model in random environments. J. Math. Anal. Appl. 2009, 357:154-170.
-
(2009)
J. Math. Anal. Appl.
, vol.357
, pp. 154-170
-
-
Zhu, C.1
Yin, G.2
-
24
-
-
77952673264
-
Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment
-
Liu M., Wang K. Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment. J. Theoret. Biol. 2010, 264:934-944.
-
(2010)
J. Theoret. Biol.
, vol.264
, pp. 934-944
-
-
Liu, M.1
Wang, K.2
-
25
-
-
77953229493
-
On stochastic population model with the Allee effect
-
Krstic M., Jovanovic M. On stochastic population model with the Allee effect. Math. Comput. Modelling 2010, 52:370-379.
-
(2010)
Math. Comput. Modelling
, vol.52
, pp. 370-379
-
-
Krstic, M.1
Jovanovic, M.2
-
26
-
-
79961026130
-
Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle
-
Liu M., Wang K., Wu Q. Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. Bull. Math. Biol. 2010, 10.1007/s11538-010-9569-5.
-
(2010)
Bull. Math. Biol.
-
-
Liu, M.1
Wang, K.2
Wu, Q.3
-
27
-
-
77957911002
-
Extinction and permanence in a stochastic nonautonomous population system
-
Liu M., Wang K. Extinction and permanence in a stochastic nonautonomous population system. Appl. Math. Lett. 2010, 23:1464-1467.
-
(2010)
Appl. Math. Lett.
, vol.23
, pp. 1464-1467
-
-
Liu, M.1
Wang, K.2
-
28
-
-
77956632938
-
Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment II
-
Liu M., Wang K. Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment II. J. Theoret. Biol. 2010, 267:283-291.
-
(2010)
J. Theoret. Biol.
, vol.267
, pp. 283-291
-
-
Liu, M.1
Wang, K.2
-
29
-
-
78149415331
-
Persistence and extinction in stochastic non-autonomous logistic systems
-
Liu M., Wang K. Persistence and extinction in stochastic non-autonomous logistic systems. J. Math. Anal. Appl. 2011, 375:443-457.
-
(2011)
J. Math. Anal. Appl.
, vol.375
, pp. 443-457
-
-
Liu, M.1
Wang, K.2
-
30
-
-
34249314701
-
Stochastic population dynamics under regime switching
-
Luo Q., Mao X.R. Stochastic population dynamics under regime switching. J. Math. Anal. Appl. 2007, 334:69-84.
-
(2007)
J. Math. Anal. Appl.
, vol.334
, pp. 69-84
-
-
Luo, Q.1
Mao, X.R.2
-
31
-
-
0242563961
-
Environmental Brownian noise suppresses explosions in populations dynamics
-
Mao X.R., Marion G., Renshaw E. Environmental Brownian noise suppresses explosions in populations dynamics. Stochastic Process. Appl. 2002, 97:95-110.
-
(2002)
Stochastic Process. Appl.
, vol.97
, pp. 95-110
-
-
Mao, X.R.1
Marion, G.2
Renshaw, E.3
-
32
-
-
0242676984
-
Asymptotic behaviour of the stochastic Lotka-Volterra model
-
Mao X.R., Sabanis S., Renshaw E. Asymptotic behaviour of the stochastic Lotka-Volterra model. J. Math. Anal. Appl. 2003, 287:141-156.
-
(2003)
J. Math. Anal. Appl.
, vol.287
, pp. 141-156
-
-
Mao, X.R.1
Sabanis, S.2
Renshaw, E.3
-
33
-
-
33749063660
-
Dynamics of a stochastic Lotka-Volterra model perturbed by white noise
-
Du N.H., Sam V.H. Dynamics of a stochastic Lotka-Volterra model perturbed by white noise. J. Math. Anal. Appl. 2006, 324:82-97.
-
(2006)
J. Math. Anal. Appl.
, vol.324
, pp. 82-97
-
-
Du, N.H.1
Sam, V.H.2
-
35
-
-
0026265582
-
The threshold of survival for system of two species in a polluted environment
-
Liu H., Ma Z. The threshold of survival for system of two species in a polluted environment. J. Math. Biol. 1991, 30:49-51.
-
(1991)
J. Math. Biol.
, vol.30
, pp. 49-51
-
-
Liu, H.1
Ma, Z.2
-
36
-
-
0022918323
-
Persistence in population models with demographic fluctuations
-
Hallam T.G., Ma Z. Persistence in population models with demographic fluctuations. J. Math. Biol. 1986, 24:327-339.
-
(1986)
J. Math. Biol.
, vol.24
, pp. 327-339
-
-
Hallam, T.G.1
Ma, Z.2
-
39
-
-
0001274382
-
Systems dequations differentielles d'osci d'oscillations nonlineaires
-
Barbalat I. Systems dequations differentielles d'osci d'oscillations nonlineaires. Revue Roumaine de Mathematiques Pures et Appliquees 1959, 4:267-270.
-
(1959)
Revue Roumaine de Mathematiques Pures et Appliquees
, vol.4
, pp. 267-270
-
-
Barbalat, I.1
-
40
-
-
0035439412
-
An algorithmic introduction to numerical simulation of stochastic differential equations
-
Higham D.J. An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Rev. 2001, 43:525-546.
-
(2001)
SIAM Rev.
, vol.43
, pp. 525-546
-
-
Higham, D.J.1
|