Dynamic of a stochastic predator-prey population

Applied Mathematics and Computation

Volumn 218, Issue 7, 2011, Pages 3100-3109

  Yagi, Atsushi ^a   Ton, Ta Viet ^a,b  

^a OSAKA UNIVERSITY   (Japan)

^b VIETNAM NATIONAL UNIVERSITY   (Viet Nam)

Author keywords

Asymptotic behaviour; Moment boundedness; Stochastic prey predator model

Indexed keywords

ASYMPTOTIC BEHAVIOUR; MOMENT BOUNDEDNESS; PREDATOR-PREY; PREDATOR-PREY MODELS; PREY-PREDATOR MODELS; UPPER BOUND;

ASYMPTOTIC ANALYSIS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

POPULATION STATISTICS;

EID: 80054971383     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.08.037     Document Type: Article

References (13)

1. L. Arnold Stochastic Differential Equations: Theory and Applications 1972 Wiley New York
2. J.R. Beddington Mutual interference between parasites or predators and its effect on searching efficiency J. Animal Ecol. 44 1 1975 331 340
3. R.S. Cantrell, and C. Cosner On the dynamics of predator-prey models with the Bedding-DeAngelis functional response J. Math. Anal. Appl. 257 2001 206 222
4. D.L. DeAngelis, R.A. Goldstein, and R.V. O'Neill A model for trophic interaction Ecology 56 1975 881 892
5. M. Fan, and Y. Kuang Dynamics of a non-autonomous predator-prey system with the Beddington-DeAngelis functional response J. Math. Anal. Appl. 295 2004 15 39
6. A. Friedman Stochastic Differential Equations and their Applications 1976 Academic press New York
7. T. Hwang Global analysis of the predator-prey system with Beddington-DeAngelis functional response J. Math. Anal. Appl. 281 2003 395 401
8. K. Ioannis, and E.S. Steven Brownian Motion and Stochastic Calculus second ed. 1991 Springer-Verlag New York
9. X. Mao, Stochastic Differential Equations and Applications, Horwood, 1997.
10. X. Mao, F. Deng, Q. Luo, and S. Pang Noise suppresses or expresses exponential growth Syst. Control Lett. 57 2008 262 270
11. X. Mao, G. Hu, M. Liu, and M. Song Noise suppresses exponential growth under regime switching J. Math. Anal. Appl. 355 2009 783 795
12. X. Mao, G. Marion, and E. Renshaw Environmental Brownian noise suppresses explosions in population dynamics Stoch. Proc. Appl. 97 2002 95 110
13. B.G. Zhang, and K. Gopalsamy On the periodic solution of N-dimentional stochastic population models Stoch. Anal. Appl. 18 2 2000 323 331