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Volume 34, Issue 2
A Commensal Symbiosis Model with Holling Type Functional Response and Non-Selective Harvesting in a Partial Closure

Yu Liu & Xinyu Guan

Ann. Appl. Math., 34 (2018), pp. 153-164.

Published online: 2022-06

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  • Abstract

A two species commensal symbiosis model with Holling type functional response and non-selective harvesting in a partial closure is considered. Local and global stability property of the equilibria are investigated. Depending on the the area available for capture, we show that the system maybe extinct or one of the species will be driven to extinction, while the rest one is permanent, or both of the species coexist in a stable state. The dynamic behaviors of the system is complicated and sensitive to the fraction of the harvesting area.

  • Keywords

commensal symbiosis model, stability, non-selective harvesting.

  • AMS Subject Headings

34C25, 92D25, 34D20, 34D40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-34-153, author = {Liu , Yu and Guan , Xinyu}, title = {A Commensal Symbiosis Model with Holling Type Functional Response and Non-Selective Harvesting in a Partial Closure}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {34}, number = {2}, pages = {153--164}, abstract = {

A two species commensal symbiosis model with Holling type functional response and non-selective harvesting in a partial closure is considered. Local and global stability property of the equilibria are investigated. Depending on the the area available for capture, we show that the system maybe extinct or one of the species will be driven to extinction, while the rest one is permanent, or both of the species coexist in a stable state. The dynamic behaviors of the system is complicated and sensitive to the fraction of the harvesting area.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20569.html} }
TY - JOUR T1 - A Commensal Symbiosis Model with Holling Type Functional Response and Non-Selective Harvesting in a Partial Closure AU - Liu , Yu AU - Guan , Xinyu JO - Annals of Applied Mathematics VL - 2 SP - 153 EP - 164 PY - 2022 DA - 2022/06 SN - 34 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20569.html KW - commensal symbiosis model, stability, non-selective harvesting. AB -

A two species commensal symbiosis model with Holling type functional response and non-selective harvesting in a partial closure is considered. Local and global stability property of the equilibria are investigated. Depending on the the area available for capture, we show that the system maybe extinct or one of the species will be driven to extinction, while the rest one is permanent, or both of the species coexist in a stable state. The dynamic behaviors of the system is complicated and sensitive to the fraction of the harvesting area.

Yu Liu & Xinyu Guan. (2022). A Commensal Symbiosis Model with Holling Type Functional Response and Non-Selective Harvesting in a Partial Closure. Annals of Applied Mathematics. 34 (2). 153-164. doi:
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