Dynamic Behaviors of May Type Cooperative System with Michaelis-Menten Type Harvesting

Dynamic Behaviors of May Type Cooperative System with Michaelis-Menten Type Harvesting

Year:    2019

Author:    Xiangqin Yu, Fengde Chen, Liyun Lai

Annals of Applied Mathematics, Vol. 35 (2019), Iss. 4 : pp. 374–391

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. Numerical simulations are carried out to show the feasibility of the main results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2019-AAM-18088

Annals of Applied Mathematics, Vol. 35 (2019), Iss. 4 : pp. 374–391

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    global attractivity May type cooperative system Michaelis-Menten type harvesting iterative method.

Author Details

Xiangqin Yu

Fengde Chen

Liyun Lai