Geodesic
Periodic solutions for a delayed predator-prey system with dispersal and impulses
Electronic journal of differential equations, Tome 2005 (2005)
A delayed predator-prey system with prey dispersal in n-patch environments and impulse effects is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions to the system.
Classification : 34K13, 34K45, 92D25
Keywords: predator-prey system, impulse, dispersion, periodic solution, coincidence degree 
@article{EJDE_2005__2005__a167,
     author = {Liu,  Qiming and Dong,  Shijie},
     title = {Periodic solutions for a delayed predator-prey system with dispersal and impulses},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34066},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a167/}
}
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Liu,  Qiming; Dong,  Shijie. Periodic solutions for a delayed predator-prey system with dispersal and impulses. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a167/