Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system

Nonlinear Analysis, Theory, Methods and Applications

Volumn 40, Issue 1, 2000, Pages 37-49

  Ahmad, Shair ^a   Lazer, Alan C ^b  

^a UNIVERSITY OF TEXAS AT SAN ANTONIO   (United States)

^b UNIVERSITY OF MIAMI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; INTEGRAL EQUATIONS; SET THEORY; THEOREM PROVING;

LOTKA-VOLTERRA (LV) SYSTEMS; PERRON-FROBENIUS THEOREM;

DIFFERENTIAL EQUATIONS;

EID: 0034172677     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)85003-8     Document Type: Article

References (6)

1. S. Ahmad, A.C. Lazer, Necessary and sufficient average growth in a Lotka-Volterra system. Nonlinear Anal. 34 (1998) 191-228.
2. R. Bellman, Matrix Analysis, 2nd Edition, McGraw-Hill, New York, 1970.
3. K. Gopalsamy, Global asymptotic stability in a periodic Lotka-Volterra System, J. Austral. Math. Soc. Ser. B 27 (1986) 66-72.
4. K. Gopalsamy, Global asymptotic stability in an almost-periodic Lotka-Volterra system, J. Austral. Math. Soc. Ser B 27 (1986) 346-360.
5. R. Redheffer, Nonautonomous Lotka-Volterra system I, J. Differential Equations 127 (1996) 519-540.
6. A. Tineo, C. Alvarez, A different consideration about the globally assymptotically stable solution of the periodic n-competing species problem, J. Math. Anal. Appl. 159 (1991) 44-60.