Persistence in a Three Species Lotka-Volterra Nonperiodic Predator-Prey System
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Abstract: The predator-prey model for three species in which the right-hand sides are nonperiodic functions in time were considered. It's proved that the model is persistent under appropriate conditions.
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Key words:
- persistence /
- predator-prey system /
- nonperiodic
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[1] CHEN Lan-sun, PENG Qiu-liang.Persistence in a three species Lotka-Volterra periodic predator-prey system[J].System Science and Mathematical Science,1994,7(4);337-343. [2] Ahmad S.Convergence and ultimate bounds of solution of the nonautonpmmous Volterra-Lotka competition equation[J].J Math Anal Appl,1987,127(3);377-387. [3] Zitan Amine.A periodic prey-predator system[J].J Math Anal Appl,1994,185(4);477-489. [4] Tineo A.On the asymptotic behaviour of some population model[J].J Math Anal Appl,1992,16(5);516-529. [5] Tineo A, Alvarez C.A different consideration about the globally asymptotically stable solution of the periodic N-competing species problems[J].J Math Anal Appl,1991,159(1);44-50.
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