Periodic solutions of multispecies-competition predator-prey system with Holling's type III functional response and prey supplement
Electronic journal of differential equations, Tome 2007 (2007)
In this paper, we consider a nonautonomous multispecies competition predator-prey system with Holling's type III functional response and prey supplement. It is proved that the system is uniformly persistent under some conditions. Furthermore, we show that the system has a unique positive periodic solution which is globally asymptotically stable.
Classification : 92D25, 34C25
Keywords: competition predator-prey system, periodic solution, Holling's type III functional response, global attractivity
@article{EJDE_2007__2007__a181,
     author = {He,  Jiwei},
     title = {Periodic solutions of multispecies-competition predator-prey system with {Holling's} type {III} functional response and prey supplement},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1133.92026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a181/}
}
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He,  Jiwei. Periodic solutions of multispecies-competition predator-prey system with Holling's type III functional response and prey supplement. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a181/