Abstract
In this paper, we consider a class of non-autonomous competitive Lotka-Volterra Systems. Such a system is called strongly permanent if small perturbations of the system are permanent. We define such a system to be totally permanent if the system as well as its subsystems are strongly permanent. When the growth rates have averages and the interaction coefficients are non-negative constants, we give a computable necessary and sufficient condition for the system to be totally permanent.
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Mathematics Subject Classification (2000)
34C60, 34D05
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Ahmad, S., Lazer, A. Average growth and total permanence in a competitive Lotka-Volterra System. Annali di Matematica 185 (Suppl 5), S47–S67 (2006). https://doi.org/10.1007/s10231-004-0136-2
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DOI: https://doi.org/10.1007/s10231-004-0136-2