Geodesic
Multiple positive periodic solutions to a non-autonomous Lotka-Volterra predator-prey system with harvesting terms
Electronic journal of differential equations, Tome 2011 (2011)
Using Mawhin's continuation theorem of coincidence degree theory, we establish the existence of $2^{n+m}$ positive periodic solutions for a non-autonomous Lotka-Volterra network-like predator-prey system with harvesting terms. Here n and m denote the number of prey and predator species respectively. An example is given to illustrate our results.
Classification : 34C25, 92D25
Keywords: periodic solutions, Lotka-Volterra network, predator-prey system, coincidence degree, harvesting term 
@article{EJDE_2011__2011__a66,
     author = {Zhao,  Kaihong and Li,  Yongkun},
     title = {Multiple positive periodic solutions to a non-autonomous {Lotka-Volterra} predator-prey system with harvesting terms},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1216.34046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a66/}
}
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Zhao,  Kaihong; Li,  Yongkun. Multiple positive periodic solutions to a non-autonomous Lotka-Volterra predator-prey system with harvesting terms. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a66/