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
Keywords: competition predator-prey system, periodic solution, Holling's type III functional response, global attractivity
@article{EJDE_2007__2007__a281,
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__a281/}
}
TY - JOUR AU - He, Jiwei TI - Periodic solutions of multispecies-competition predator-prey system with Holling's type III functional response and prey supplement JO - Electronic journal of differential equations PY - 2007 VL - 2007 UR - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a281/ LA - en ID - EJDE_2007__2007__a281 ER -
%0 Journal Article %A He, Jiwei %T Periodic solutions of multispecies-competition predator-prey system with Holling's type III functional response and prey supplement %J Electronic journal of differential equations %D 2007 %V 2007 %U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a281/ %G en %F EJDE_2007__2007__a281
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__a281/