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초록· 키워드
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In this paper, we study a modified stochastic predator-prey system with general ratio-dependent functional response. We prove that the system has a unique positive solution for given positive initial value. Then we investigate the persistence and extinction of this stochastic system. At the end, we give some numerical simulations, which support our theoretical conclusions well.
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참고문헌 (22)
참고문헌 신청
R. Arditi / 1989 / Coupling in predator-prey dynamics: ratio-dependence / J. Theor. Biol 139(3):311~326
R. Arditi / 1991 / Variation in plankton densities among lakes: a case for ratio-dependent predation models / Amer. Natural 138(5):1287~1296
R. Arditi / 1992 / Empirical evidence of the role of heterogeneity in ratio-dependent consumption / Ecology 73(5):1544~1551
M. A. Aziz-Alaoui / 2003 / Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes / Appl. Math. Lett 16(7):1069~1075
A. A. Berryman / 1992 / The origins and evolution of predator-prey theory / Ecology 73(5):1530~1535
R. Arditi / 1991 / Variation in plankton densities among lakes: a case for ratio-dependent predation models / Amer. Natural 138(5):1287~1296
R. Arditi / 1992 / Empirical evidence of the role of heterogeneity in ratio-dependent consumption / Ecology 73(5):1544~1551
M. A. Aziz-Alaoui / 2003 / Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes / Appl. Math. Lett 16(7):1069~1075
A. A. Berryman / 1992 / The origins and evolution of predator-prey theory / Ecology 73(5):1530~1535
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