The criteria for globally stable equilibrium in n-dimensional Lotka-Volterra systems

Journal of Mathematical Analysis and Applications

Volumn 240, Issue 2, 1999, Pages 600-606

  Li, Xue Zhi ^a,b   Tang, Chun Lei ^c   Ji, Xin Hua ^d  

^a XINYANG NORMAL UNIVERSITY   (China)

^b INSTITUTE OF SYSTEMS SCIENCE   (China)

^c SOUTHWEST UNIVERSITY   (China)

^d INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

Equilibrium point; global asymptotic stability; n dimensional Lotka Volterra system

Indexed keywords

EID: 0007137291     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6612     Document Type: Article

References (6)

1. Takeuchi Y., Adachi N. The existence of globally stable equilibria of ecosystems of the generalized Volterra type. J. Math. Biol. 10:1980;401-415.
2. Takeuchi Y., Adachi N., Tokumaru H. The stability of generalized Volterra equations. J. Math. Anal. Appl. 62:1978;453-473.
3. Solimano F., Beretta E. Graph theoretical criteria for stability and boundedness of predator-prey system. Bull. Math. Biol. 44:1982;579-585.
4. Ji X.-H. Global stability for n-dimensional Lotka-Volterra competition simple chain systems, Advanced Series in Dynamical Systems. Shiraiwa K. Proceeding of International Conference - Dynamical Systems and Related Topics (Sept. 3-7 1990, Nagoya, Japan). 1991;211-222 World Scientific, Singapore.
5. Ji X.-H. The existence of globally stable equilibria of n-dimensional Lotka-Volterra systems. Appl. Anal. 62:1996;11-28.
6. Hofbauer J., Sigmund K. The Theory of Evolution and Dynamical Systems. 1988;Cambridge Univ. Press, Cambridge.