The dynamics of a stage structure population model with fixed-time birth pulse and state feedback control strategy. (English) Zbl 1418.92113
Summary: In this paper, we study a stage structure population model with fixed-time birth pulse and state feedback control strategy. The stability of the trivial solution and the existence of periodic solutions are investigated. Sufficient conditions for the permanence of the system are obtained. Furthermore, some numerical simulations are given to illustrate our results. The superiority of the mixed control strategy is also discussed.
MSC:
| 92D25 | Population dynamics (general) |
| 37N25 | Dynamical systems in biology |
| 34C25 | Periodic solutions to ordinary differential equations |
| 93B52 | Feedback control |
| 34H05 | Control problems involving ordinary differential equations |
| 34C60 | Qualitative investigation and simulation of ordinary differential equation models |
Keywords:
stage structure; birth pulse; state feedback control strategy; periodic solution; permanenceReferences:
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