Some New Results of Nonautonomous Lotka–Volterra Competitive Systems with Delays

Author： Teng Z.   Yu Y.  

Publisher： Academic Press

ISSN： 0022-247X

Source： Journal of Mathematical Analysis and Applications, Vol.241, Iss.2, 2000-01, pp. : 254-275

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Abstract

In this paper, we improve and generalize the results of Montes de Oca and Zeeman [J. Math. Anal. Appl. 192 (1995), 360–370; Proc. Amer. Math. Soc. 124 (1996), 3677–3687] to general N-species nonautonomous Lotka–Volterra type competitive systems with finite or infinite delays. We establish a series of criteria under which a part of the n species of the systems is driven to extinction while the remaining part of the n species is persistent or uniformly persistent, or coexists globally asymptotically stable.

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