Stochastic analysis of prey-predator model with stage structure for prey

被引：8
|
作者：
Saha T. [1 ]
Chakrabarti C. [1 ]
机构：
[1] Department of Applied Mathematics, University of Calcutta
来源：
Journal of Applied Mathematics and Computing | 2011年 / 35卷 / 1-2期
关键词：
Lyapunov function; Prey-predator; Stability; Stage-structure; Stochastic stability; White noise;
D O I：
10.1007/s12190-009-0351-5
中图分类号：
学科分类号：
摘要：
The present paper deals with the effect of environmental fluctuation on a prey-predator model with stage structure for prey population. We have studied the stochastic behaviour of the model system around coexisting equilibrium point. Stochastic stability condition in mean square sense is obtained for the stage-structured model with help of a suitable Lyapunov function. Numerical simulations are carried out to substantiate the analytical findings. The main outcomes of mathematical findings are mentioned in conclusion section. © 2009 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：195 / 209
页数：14
相关论文
共 50 条
  • [31] DISCRETE PREY-PREDATOR MODEL
    GENTIL, S
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1978, 286 (20): : 973 - 975
  • [32] GENERALIZED PREY-PREDATOR MODEL
    DASGUPTA, B
    JOURNAL OF THEORETICAL BIOLOGY, 1979, 79 (02) : 243 - 246
  • [33] Stability Analysis of prey-Predator Model with Constant Harvesting of Prey Species
    Paparao, A., V
    INTERNATIONAL JOURNAL OF ECOLOGICAL ECONOMICS & STATISTICS, 2024, 45 : 14 - 22
  • [34] Stability and Bifurcation Analysis of a Prey-Predator Model
    Mishra, T. N.
    Tiwari, B.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (04):
  • [35] Bifurcation analysis of a prey-predator coevolution model
    Dercole, F
    Irisson, JO
    Rinaldi, S
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2003, 63 (04) : 1378 - 1391
  • [36] Ecoepidemiological Model and Analysis of Prey-Predator System
    Bezabih, Abayneh Fentie
    Edessa, Geremew Kenassa
    Rao, Koya Purnachandra
    JOURNAL OF APPLIED MATHEMATICS, 2021, 2021
  • [37] Detailed analysis of a nonlinear prey-predator model
    Danca, M
    Codreanu, S
    Bako, B
    JOURNAL OF BIOLOGICAL PHYSICS, 1997, 23 (01) : 11 - 20
  • [38] ANALYSIS OF A DELAY PREY-PREDATOR MODEL WITH DISEASE IN THE PREY SPECIES ONLY
    Zhou, Xueyong
    Shi, Xiangyun
    Song, Xinyu
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (04) : 713 - 731
  • [39] Qualitative analysis of a diffusive prey-predator model
    Tarfulea, Nicoleta
    Minut, Aurelia
    APPLIED MATHEMATICS LETTERS, 2012, 25 (05) : 803 - 807
  • [40] Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey
    Banerjee, Malay
    Mukherjee, Nayana
    Volpert, Vitaly
    MATHEMATICS, 2018, 6 (03)
12345