Dynamic analysis of a stage-structured predator-prey system with disturbed time delay and birth pulse. (English) Zbl 1329.92116
Summary: In this paper, a stage-structured predator-prey system with birth pulse and disturbed time delay is investigated. The conditions of the prey-extinction periodic solution of the system which are globally attractive have been obtained. Furthermore, the sufficient conditions for the permanence of the system are established. Finally, numerical analysis is given to confirm the theoretical results.
MSC:
| 92D25 | Population dynamics (general) |
References:
| [1] | DOI: 10.1016/0025-5564(90)90019-U · Zbl 0719.92017 · doi:10.1016/0025-5564(90)90019-U |
| [2] | Bainov D. D., Impulsive Differential Equations: Periodic Solutions and Applications (1993) · Zbl 0815.34001 |
| [3] | DOI: 10.1016/j.chaos.2004.11.093 · Zbl 1065.92056 · doi:10.1016/j.chaos.2004.11.093 |
| [4] | DOI: 10.1016/j.cnsns.2008.05.010 · Zbl 1221.34218 · doi:10.1016/j.cnsns.2008.05.010 |
| [5] | DOI: 10.1016/j.apm.2009.12.003 · Zbl 1195.34018 · doi:10.1016/j.apm.2009.12.003 |
| [6] | DOI: 10.1016/j.nonrwa.2011.01.005 · Zbl 1220.34067 · doi:10.1016/j.nonrwa.2011.01.005 |
| [7] | DOI: 10.1142/0906 · doi:10.1142/0906 |
| [8] | DOI: 10.1016/j.apm.2009.11.019 · Zbl 1195.34019 · doi:10.1016/j.apm.2009.11.019 |
| [9] | Pei Y. Z., Math. Comput. Simulat. 79 pp 2994– |
| [10] | DOI: 10.1142/S1793524508000308 · Zbl 1155.92043 · doi:10.1142/S1793524508000308 |
| [11] | DOI: 10.1016/j.matcom.2009.09.013 · Zbl 1178.92058 · doi:10.1016/j.matcom.2009.09.013 |
| [12] | DOI: 10.1016/j.amc.2010.01.064 · Zbl 1184.92059 · doi:10.1016/j.amc.2010.01.064 |
| [13] | DOI: 10.1142/S179352450800031X · Zbl 1166.34050 · doi:10.1142/S179352450800031X |
| [14] | DOI: 10.1016/j.jfranklin.2011.06.023 · Zbl 1252.34095 · doi:10.1016/j.jfranklin.2011.06.023 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
