Analysis Of Marine Fishery Resources Evolution Model Based On Reserve Area Of Proportion

In this paper, the marine fishery resources are supposed to be subdivided into twozones, a reserve area and a fishing area, a stock-effort dynamical model is establishedon the basis of discrete dynamics, then the analysis method of dynamics is used toanalyze the model, and its dynamic behavior is studied, so as to reveal the reserve arearatio size effect on the sustainable utilization of Marine fishery resources.First, the research background of this paper and the current research situation athome and abroad are briefly described, the research methods of this paper are brieflystated too. At the same time, the content of the paper is briefly described in order to thereader has a general idea of the article.Second, the stock-effort dynamical model is reduced to a simple dynamical systemby aggregated methods. Qualitative methods are used to analyze the existence ofpositive fixed points, stability and local bifurcations about the proportion of marineareas protected. And numerical simulation is used to verify the local bifurcations offixed points. At the same time, Center-Manifold theorem is used to analyze the localstability of fixed points.Then, the global method is used to analyze the influence of the protected areaproportion on the feasible domain. Here, we get the relationship between the protectedarea proportion and the structure size of the feasible domain by the method of numericaltest.Finally, the internal relations of fishing efforts and protected area proportion arestudied.