Dynamical behaviour of Lotka-Volterra systems
نویسنده
چکیده
We consider the (n 1)-dimensional Lotka-Volterra system (arising in biological modelling of species interactions), and associate with it a family of n-dimensional systems having the same phase portrait. We obtain some results on global behaviour and convergence towards the equilibrium in the case where the LV system is “nearly symmetric” or “nearly cooperative” (that is, there exists a member of the equivalence class that is symmetric or cooperative). We apply these results to stabilize the system by controlling the total or individual growth rates of the species.
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تاریخ انتشار 2000