×

On a periodic time-dependent model of population dynamics with stage structure and impulsive effects. (English) Zbl 1151.34040

Summary: We consider a periodic time-dependent predator-prey system with stage structure and impulsive harvesting, in which the prey has a life history that takes them through two stages, immature and mature. A set of sufficient and necessary conditions which guarantee the permanence of the system are obtained. Finally, we give a brief discussion of our results.

MSC:

34D05 Asymptotic properties of solutions to ordinary differential equations
92D25 Population dynamics (general)
34A37 Ordinary differential equations with impulses
PDF BibTeX XML Cite
Full Text: DOI EuDML

References:

[1] DOI: 10.1016/0025-5564(90)90019-U · Zbl 0719.92017
[2] DOI: 10.1016/S0025-5564(98)10051-2 · Zbl 0943.92030
[3] DOI: 10.1016/j.ecolmodel.2003.09.009
[4] DOI: 10.2307/1938202
[5] DOI: 10.1016/0304-3800(80)90081-2
[6] Quarterly of Applied Mathematics 49 (2) pp 351– (1991) · Zbl 0732.92021
[7] DOI: 10.1137/0132006 · Zbl 0348.34031
[8] Journal of Theoretical Biology 148 (4) pp 469– (1991)
[9] Pitman Monographs and Surveys in Pure and Applied Mathematics 66 (1993)
[10] Series in Modern Applied Mathematics 6 pp xii+273– (1989)
[11] Bulletin of Mathematical Biology 60 (6) pp 1123– (1998) · Zbl 0941.92026
[12] Discrete and Continuous Dynamical Systems. Series B 4 (3) pp 595– (2004) · Zbl 1100.92040
[13] DOI: 10.1016/j.amc.2004.09.053 · Zbl 1074.92042
[14] DOI: 10.1016/S0960-0779(02)00408-3 · Zbl 1085.34529
[15] Dynamics of Continuous, Discrete and Impulsive Systems 7 (2) pp 265– (2000)
[16] DOI: 10.1007/s002850100121 · Zbl 0990.92033
[17] DOI: 10.1006/tpbi.1993.1026 · Zbl 0782.92020
[18] DOI: 10.1016/S0898-1221(99)00316-8 · Zbl 0968.92018
[19] Mathematics and Its Applications 63 pp x+172– (1991)
[20] (1967)
[21] Chelonian Conservation and Biology 3 (1) pp 87– (1998)
[22] Chelonian Conservation and Biology 2 (4) pp 563– (1997)
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.