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Volume 36, Issue 4
Extinction of a Discrete Competitive System with Beddington-DeAngelis Functional Response and the Effect of Toxic Substances

Jiangbin Chen & Shengbin Yu

Ann. Appl. Math., 36 (2020), pp. 356-378.

Published online: 2021-01

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  • Abstract

In this paper, we consider a discrete competitive system with Beddington-DeAngelis functional response and the effect of toxic substances. By constructing some suitable Lyapunov type extinction functions, sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. Our results not only supplement and improve but also generalize some existing ones. Numerical simulations show the feasibility of our results.

  • Keywords

discrete competitive system, Beddington-DeAngelis functional response, extinction, toxic substances.

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COPYRIGHT: © Global Science Press

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@Article{AAM-36-356, author = {Chen , Jiangbin and Yu , Shengbin}, title = {Extinction of a Discrete Competitive System with Beddington-DeAngelis Functional Response and the Effect of Toxic Substances}, journal = {Annals of Applied Mathematics}, year = {2021}, volume = {36}, number = {4}, pages = {356--378}, abstract = {

In this paper, we consider a discrete competitive system with Beddington-DeAngelis functional response and the effect of toxic substances. By constructing some suitable Lyapunov type extinction functions, sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. Our results not only supplement and improve but also generalize some existing ones. Numerical simulations show the feasibility of our results.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18581.html} }
TY - JOUR T1 - Extinction of a Discrete Competitive System with Beddington-DeAngelis Functional Response and the Effect of Toxic Substances AU - Chen , Jiangbin AU - Yu , Shengbin JO - Annals of Applied Mathematics VL - 4 SP - 356 EP - 378 PY - 2021 DA - 2021/01 SN - 36 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/18581.html KW - discrete competitive system, Beddington-DeAngelis functional response, extinction, toxic substances. AB -

In this paper, we consider a discrete competitive system with Beddington-DeAngelis functional response and the effect of toxic substances. By constructing some suitable Lyapunov type extinction functions, sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. Our results not only supplement and improve but also generalize some existing ones. Numerical simulations show the feasibility of our results.

Jiangbin Chen & Shengbin Yu. (2021). Extinction of a Discrete Competitive System with Beddington-DeAngelis Functional Response and the Effect of Toxic Substances. Annals of Applied Mathematics. 36 (4). 356-378. doi:
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