Permanence for multi-species competition-predation system with feedback controls. (Chinese. English summary) Zbl 1374.92130
Summary: A non-autonomous multi-species competition-predation discrete system with delays and feedback controls was considered. By a new method of difference inequality, sufficient conditions are established for the permanence of the system. The results extend the known results to multi-species competition-predation system. A fact is found in our results, that is, the feedback control is harmless to the permanence of multi-species discrete system.
MSC:
92D25 | Population dynamics (general) |
34D20 | Stability of solutions to ordinary differential equations |
92D40 | Ecology |
37B55 | Topological dynamics of nonautonomous systems |