Stochastic Lotka-Volterra competitive systems with variable delay

Lecture Notes in Computer Science

Volumn 3645, Issue PART II, 2005, Pages 238-247

  Shen, Yi ^a   Zhao, Guoying ^a   Jiang, Minghui ^a   Mao, Xuerong ^b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ENVIRONMENTAL IMPACT; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; PROBABILITY;

ENVIRONMENTAL NOISE; LOTKA-VOLTERRA COMPETITIVE SYSTEM; POPULATION EXPLOSION; VARIABLE DELAY;

RANDOM PROCESSES;

EID: 27144448513     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/11538356_25     Document Type: Conference Paper

References (10)

1. Ahmad, A., Rao, M. R. M.: Asymptotically Periodic Solutions of N-competing Species Problem with Time Delay. J. Math. Anal. Appl., 186 (1994) 557-571
2. Bereketoglu, H., Gyori, I.: Global Asymptotic Stability in A Nonautonomous Lotka-Volterra Type System with Infinite Delay. J. Math. Anal. Appl., 210 (1997)279-291
3. Freedman, H. I., Ruan, S.: Uniform Persistence in Functional Differential Equations. J. Differential Equations, 115 (1995) 173-192
4. Gopalsamy, K.: Stability and Oscillations in Delay Differential Equations of Population Dynamics. Kluwer Academic, Dordrecht, (1992)
5. He, X., Gopalsamy, K.: Persistence, Attractivity, and Delay in Facultative Mutualism. J. Math. Anal. Appl., 215 (1997) 154-173
6. Kolmanovskii, V., Myshkis, A.: Applied Theory of Functional Differential Equations. Kluwer Academic, (1992)
7. Kuang, Y.: Delay Differential Equations with Applications in Population Dynamics. Academic Press, Boston, (1993)
8. Kuang, Y., Smith, H. L.: Global Stability for Infinite Delay Lotka-Volterra Type Systems. J. Differential Equations, 103 (1993) 221-246
9. Teng, Z., Yu, Y.: Some New Results of Nonautonomous Lotka-Volterra Competitive Systems with Delays. J. Math. Anal. Appl., 241 (2000) 254-275
10. Mao, X.: Exponential Stability of Stochastic Differential Equations. Dekker, New York, (1994)