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DYNAMIC BEHAVIORS OF MAY TYPE COOPERATIVE SYSTEM WITH MICHAELIS-MENTEN TYPE HARVESTING
Xiangqin Yu,Fengde Chen,Liyun Lai
(College of Math. and Computer Science, Fuzhou University, 350108 Fuzhou, Fujian, PR China)
DOI:
Abstract:
Traditional May type cooperative model incorporating Michaelis-Menten type harvesting is proposed and studied in this paper. Sufficient conditions which ensure the extinction of the first species and the existence of a unique globally attractive positive equilibrium are obtained, respectively. Numeric simulations are carried out to show the feasibility of the main results.
Key words:  global attractivity; May type cooperative system; Michaelis-Menten type harvesting; iterative method