Stochastic Delay Lotka-Volterra Model

被引：1

作者：

Lian Baosheng ^{[1
]}

Hu Shigeng ^{[2
]}

Fen Yang ^{[1
]}

机构：

[1] Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430065, Hubei, Peoples R China

[2] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Hubei, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年

基金：

中国国家自然科学基金;

关键词：

AYALA COMPETITION MODELS; ASYMPTOTIC-BEHAVIOR; POPULATION-DYNAMICS;

D O I：

10.1155/2011/914270

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process, namely the delay Lotka-Volterra model. The stochastic version of this process appears to have some intriguing properties such as pathwise estimation and asymptotic moment estimation. Indeed, their solutions will be stochastically ultimately bounded.

引用

页数：13

共 50 条

[1] Stochastic Delay Lotka-Volterra Model
Lian Baosheng
Hu Shigeng
Fen Yang
[J]. Journal of Inequalities and Applications, 2011
[2] Stochastic delay Lotka-Volterra model
Bahar, A
Mao, XR
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 292 (02) : 364 - 380
[3] Stochastic Lotka-Volterra model with infinite delay
Wan, Li
Zhou, Qinghua
[J]. STATISTICS & PROBABILITY LETTERS, 2009, 79 (05) : 698 - 706
[4] A Stochastic Lotka-Volterra Model with Variable Delay
Xu, Yong
Zhu, Song
Hu, Shigeng
[J]. SIXTH INTERNATIONAL SYMPOSIUM ON NEURAL NETWORKS (ISNN 2009), 2009, 56 : 91 - +
[5] Stochastic Lotka-Volterra Model
Lian, Baosheng
Hu, Shi-geng
[J]. ICMS2009: PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION, VOL 5, 2009, : 417 - 420
[6] GENERALIZED STOCHASTIC DELAY LOTKA-VOLTERRA SYSTEMS
Yin, Juliang
Mao, Xuerong
Wu, Fuke
[J]. STOCHASTIC MODELS, 2009, 25 (03) : 436 - 454
[7] Stochastic Lotka-Volterra system with infinite delay
Xu, Yong
Wu, Fuke
Tan, Yimin
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 232 (02) : 472 - 480
[8] Permanence and asymptotic properties of fuzzy stochastic delay Lotka-Volterra model
Zhang, Qimin
Ma, Shuo
Yang, Hongfu
[J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2014, 52 (06): : 296 - 311
[9] STATIONARY DISTRIBUTION OF A LOTKA-VOLTERRA MODEL WITH STOCHASTIC PERTURBATIONS AND DISTRIBUTED DELAY
Cao, Nan
Fu, Xianlong
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (05): : 1713 - 1726
[10] STOCHASTIC LOTKA-VOLTERRA POPULATION DYNAMICS WITH INFINITE DELAY
Wu, Fuke
Xu, Yong
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2009, 70 (03) : 641 - 657

← 1 2 3 4 5 →