Article ID Journal Published Year Pages File Type
4501027 Mathematical Biosciences 2006 10 Pages PDF
Abstract
We investigate a mathematical aspect of a multi-species' sessile metapopulation model with space-limited recruitment proposed by Iwasa et al. in 1986. We define some basic reproduction numbers to show the threshold condition for the stability of trivial steady state and the existence of coexistent steady state. We show the existence of steady state where all species exist when some reproduction numbers are greater than one by the fixed point theorem. And we construct the Lyapunov function to show the global stability of trivial steady state when some basic reproduction numbers are not greater than one.
Related Topics
Life Sciences Agricultural and Biological Sciences Agricultural and Biological Sciences (General)
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