Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system. (English) Zbl 0955.34041

Conditions for global asymptotic stability of Lotka-Volterra competition systems with time-varying periodic or almost-periodic parameters are given in terms of upper and lower parameter averages.


34D23 Global stability of solutions to ordinary differential equations
92D25 Population dynamics (general)
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[1] Ahmad, S.; Lazer, A.C., Necessary and sufficient average growth in a lotka—volterra system, Nonlinear anal., 34, 191-228, (1998) · Zbl 0934.34037
[2] Bellman, R., Matrix analysis, (1970), McGraw-Hill New York · Zbl 0216.06101
[3] Gopalsamy, K., Global asymptotic stability in a periodic lotka—volterra system, J. austral. math. soc. ser. B, 27, 66-72, (1986) · Zbl 0588.92019
[4] Gopalsamy, K., Global asymptotic stability in an almost-periodic lotka—volterra system, J. austral. math. soc. ser B, 27, 346-360, (1986) · Zbl 0591.92022
[5] Redheffer, R., Nonautonomous lotka—volterra system I, J. differential equations, 127, 519-540, (1996) · Zbl 0856.34056
[6] Tineo, A.; Alvarez, C., A different consideration about the globally assymptotically stable solution of the periodic n-competing species problem, J. math. anal. appl., 159, 44-60, (1991) · Zbl 0729.92025
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