| Volume 1, Number 2, 2011, Pages 193-203 DOI：10.11948/2011013 |
| On a new model of two-patch predator-prey system with migration of both species |
| Wei Feng,Brevin Rock,Jody Hinson |
| Keywords:Predator-prey models,two-patch migrations,extinction or co-existence,stability and asymptotic behavior, numerical simulations . |
| Abstract: |
| In this paper we explore the dynamics of predator-prey in a two patch system. The two patches of the system are coupled with both the migration of the predator and the prey. The purpose of this exploration is to find upper and lower bounds for the populations and get an insight on the different possibilities with the three types of Holling functional responses. Also we discuss the stability and instability of the equilibrium solutions found in earlier papers. Numerical simulations are provided to graphically demonstrate the population dynamics of the system. |
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