On the non-autonomous Lotka-Volterra N-species competing systems

Applied Mathematics and Computation

Volumn 114, Issue 2-3, 2000, Pages 175-185

  Teng, Zhidong ^a  

^a XINJIANG UNIVERSITY   (China)

Author keywords

Competition; Extinction; Globally asymptotical stability; Non autonomous Lotka Volterra system; Uniform persistence

Indexed keywords

EID: 0039592797     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00110-1     Document Type: Article

References (8)

1. Ahmad S. On the non-autonomous Volterra-Lotka competition equations. Proc. Am. Math. Soc. 117:1993;199-204.
2. Ahmad S., Montes de Oca F. Extinction in non-autonomous. T -periodic competitive Lotka-Volterra system Appl. Math. Comput. 90:1998;155-166.
3. Lopez-Gomez J., Ortega R., Tineo A. The periodic predator-prey Lotka-Volterra model. Adv. Differential Equations. 1:1996;403-423.
4. Montes de Oca F., Zeeman M.L. Extinction in non-autonomous competitive Lotka-Volterra systems. Proc. Am. Math. Soc. 124:1996;3677-3687.
5. Montes de Oca F., Zeeman M.L. Balancing survival and extinction in non-autonomous competitive Lotka-Volterra systems. J. Math. Anal. Appl. 192:1995;360-370.
6. Tineo A. Asymptotic behavior of positive solutions of the non-autonomous Lotka-Volterra competitive equations. Differential and Integral Equations. 6:1993;449-457.
7. Tineo A. On the asymptotic behavior of some population models II. J. Math. Anal. Appl. 197:1996;249-258.
8. Vance R.R., Coddington E.A. A non-autonomous model of population growth. J. Math. Biol. 27:1989;491-506.