%0 Journal Article %T Dynamic behaviors of a nonautonomous modified Leslie-Gower predator-prey model with Holling-type III schemes and a prey refuge %A Chen, Fengde %A Lin, Qiaoxia %A Xie, Xiangdong %A Xue, Yalong %J Journal of Mathematics and Computer Science %D 2017 %V 17 %N 2 %@ ISSN 2008-949X %F Chen2017 %X A nonautonomous modified Leslie-Gower predator-prey model with Holling-type III schemes and a prey refuge is proposed and studied in this paper. Sufficient conditions which guarantee the permanence and global stability of the system are obtained, respectively. Our results indicate that the prey refuge has no influence on the persistent property of the system, while it has positive effect on the stability property of the system. Numeric simulations show the feasibility of the main results. %9 journal article %R 10.22436/jmcs.017.02.08 %U http://dx.doi.org/10.22436/jmcs.017.02.08 %P 266-277