Volume 35, Issue 4
Dynamic Behaviors of May Type Cooperative System with Michaelis-Menten Type Harvesting

Xiangqin Yu, Fengde Chen & Liyun Lai

Ann. Appl. Math., 35 (2019), pp. 374-391.

Published online: 2020-08

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  • 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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@Article{AAM-35-374, author = {Yu , XiangqinChen , Fengde and Lai , Liyun}, title = {Dynamic Behaviors of May Type Cooperative System with Michaelis-Menten Type Harvesting}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {35}, number = {4}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18088.html} }
TY - JOUR T1 - Dynamic Behaviors of May Type Cooperative System with Michaelis-Menten Type Harvesting AU - Yu , Xiangqin AU - Chen , Fengde AU - Lai , Liyun JO - Annals of Applied Mathematics VL - 4 SP - 374 EP - 391 PY - 2020 DA - 2020/08 SN - 35 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/18088.html KW - global attractivity, May type cooperative system, Michaelis-Menten type harvesting, iterative method. AB -

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.

XiangqinYu, FengdeChen & LiyunLai. (2020). Dynamic Behaviors of May Type Cooperative System with Michaelis-Menten Type Harvesting. Annals of Applied Mathematics. 35 (4). 374-391. doi:
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