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An impulsive predator-prey system with Beddington-DeAngelis functional response and time delay. (English) Zbl 1155.92045

MSC:
92D40 Ecology
34K45 Functional-differential equations with impulses
37N25 Dynamical systems in biology
34K20 Stability theory of functional-differential equations
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[1] DOI: 10.2307/1942114 · doi:10.2307/1942114
[2] DOI: 10.1016/S0022-5193(89)80211-5 · doi:10.1016/S0022-5193(89)80211-5
[3] DOI: 10.1006/jtbi.1996.0318 · doi:10.1006/jtbi.1996.0318
[4] DOI: 10.1016/S0169-5347(00)01908-X · doi:10.1016/S0169-5347(00)01908-X
[5] DOI: 10.1007/s002850050105 · Zbl 0895.92032 · doi:10.1007/s002850050105
[6] DOI: 10.2307/1940008 · doi:10.2307/1940008
[7] DOI: 10.1098/rspb.2000.1186 · doi:10.1098/rspb.2000.1186
[8] DOI: 10.1890/0012-9658(2001)082[3083:FRWPIV]2.0.CO;2 · doi:10.1890/0012-9658(2001)082[3083:FRWPIV]2.0.CO;2
[9] DOI: 10.2307/3866 · doi:10.2307/3866
[10] DOI: 10.2307/1936298 · doi:10.2307/1936298
[11] DOI: 10.1016/S0022-247X(02)00395-5 · Zbl 1033.34052 · doi:10.1016/S0022-247X(02)00395-5
[12] DOI: 10.1016/j.jmaa.2003.09.073 · Zbl 1086.34028 · doi:10.1016/j.jmaa.2003.09.073
[13] DOI: 10.1016/j.jmaa.2004.04.051 · Zbl 1051.34060 · doi:10.1016/j.jmaa.2004.04.051
[14] DOI: 10.1016/S0362-546X(97)00491-4 · Zbl 0946.34061 · doi:10.1016/S0362-546X(97)00491-4
[15] DOI: 10.1137/050630003 · Zbl 1110.34059 · doi:10.1137/050630003
[16] Gopalsamy K., Stability and Oscillations in Delay Differential Equations of Population Dynamics (1991) · Zbl 0752.34039
[17] Kuang Y., Delay Differential Equations with Applications in Population Dynamics (1993) · Zbl 0777.34002
[18] DOI: 10.1016/j.jmaa.2004.02.038 · Zbl 1051.34033 · doi:10.1016/j.jmaa.2004.02.038
[19] DOI: 10.1142/0906 · doi:10.1142/0906
[20] Bainov D. D., Impulsive Differential Equations: Periodic Solutions and Applications (1993) · Zbl 0815.34001
[21] Gaines R. E., Coincidence Degree and Nonlinear Differential Equations (1977) · Zbl 0339.47031 · doi:10.1007/BFb0089537
[22] Halanay A., Differential Equations: Stability, Oscillations, Time Lags (1966) · Zbl 0144.08701
[23] DOI: 10.1016/S0022-247X(02)00103-8 · Zbl 1022.34039 · doi:10.1016/S0022-247X(02)00103-8
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