Journal of Fisheries and Aquatic Science1816-49271996-0751Academic Journals Inc.10.3923/jfas.2006.17.31KarT.K. MatsudaH. 1200611This study analyzes the dynamics of a renewable resources in a region which is divided into two patches. The dynamics of the resource in these two patches is described using a realistic coupled differential system with heterogeneity in the intrinsic growth rates. The current analysis shows that MPAs is practicable in the management of resources population, which is beneficial to the conservation of ecological environment and resource population, though in some cases the extinction can not be eliminated. Our analysis also shows that reserving those areas with higher intrinsic growth rates does not provide sufficient spillover to benefit the fishing grounds via migration.]]>Ami, D., P. Cartigny and A. Rapaport,2005328357366Bohnsack, J.A.,199823298304Chapman, M.R. and D.L. Kramer,19991818196Clark, C.W.,1990Cote, I.M., I. Mosqueira and J.D. Reynolds,200159178189Davis, G.E.,1989305358Denny, C.M. and R.C. Babcock,2004116119129Dugan, J.E. and C.E. Davis,19935020292042Hanneson, R.,199813159170Holbrook, S.J., G.E. Forrester and J.S. Russel,2000122109120Holbrook, S.J. and R.J. Schmitt,2003135532541Holland, D.S. and R.J. Brazee,199611157171Kamien, M.I. and N.L. Schwartz,1981Lauck, T., C.W. Clark, M. Mangel and G.R. Munro,199887278Lundberg, P. and N. Jonzen,19992129134Man, A., R. Law and N.V.C. Polunin,199571197204Mangel, M.,200031522Murawski, S.A., R. Brown, H.L. Lai, P.J. Rago and L. Hendrickson,200066775798Polacheck, T.,19904327354Pontryagin, L.S., U.G. Boltyonskii, R.V. Gamkrelidre and E.F. Mishchenko,1962Roberts, C.M. and N.V.C. Polunin,199116591Russ, G.R., A.C. Alcala and A.P. Maypa,20032641520Russ, G.R. and A.C. Alcala,200414597606Sala, E., O. Aburto-Oropeza, G. Pareds, I. Parra, J.C. Barrera and P.K. Dayton,199329819911993Sanchirico, J.N. and J.E. Wilen,199937129150Sanchirico, J.N. and J.E. Wilen,200142257276Sanchirico, J.N. and J.E. Wilen,200215291310Schnier K.E.,200552453468Smith, M.D. and J.E. Wilen,200346183206Steele, M.A. and G.E. Forrester,20028310761091