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Volume 35, Issue 2
Note on the Stability Property of the Vanishing Equilibrium Point of an Ecological System Consisting of a Predator and Stage Structure Prey

Xiaoyan Huang & Fengde Chen

Ann. Appl. Math., 35 (2019), pp. 139-144.

Published online: 2020-08

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  • Abstract

We revisit the stability property of an ecological system consisting of a predator and stage structure prey which was proposed by Raid Kamel Naji and Salam Jasim Majeed. By constructing some suitable Lyapunov function and applying the differential inequality theory, we show that the conditions which ensure the local stability of the vanishing point are enough to ensure its global stability. Our result supplements and complements some known results.

  • Keywords

stage structure, predator-prey, global stability.

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COPYRIGHT: © Global Science Press

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@Article{AAM-35-139, author = {Huang , Xiaoyan and Chen , Fengde}, title = {Note on the Stability Property of the Vanishing Equilibrium Point of an Ecological System Consisting of a Predator and Stage Structure Prey}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {35}, number = {2}, pages = {139--144}, abstract = {

We revisit the stability property of an ecological system consisting of a predator and stage structure prey which was proposed by Raid Kamel Naji and Salam Jasim Majeed. By constructing some suitable Lyapunov function and applying the differential inequality theory, we show that the conditions which ensure the local stability of the vanishing point are enough to ensure its global stability. Our result supplements and complements some known results.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18072.html} }
TY - JOUR T1 - Note on the Stability Property of the Vanishing Equilibrium Point of an Ecological System Consisting of a Predator and Stage Structure Prey AU - Huang , Xiaoyan AU - Chen , Fengde JO - Annals of Applied Mathematics VL - 2 SP - 139 EP - 144 PY - 2020 DA - 2020/08 SN - 35 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/18072.html KW - stage structure, predator-prey, global stability. AB -

We revisit the stability property of an ecological system consisting of a predator and stage structure prey which was proposed by Raid Kamel Naji and Salam Jasim Majeed. By constructing some suitable Lyapunov function and applying the differential inequality theory, we show that the conditions which ensure the local stability of the vanishing point are enough to ensure its global stability. Our result supplements and complements some known results.

Xiaoyan Huang & Fengde Chen. (2020). Note on the Stability Property of the Vanishing Equilibrium Point of an Ecological System Consisting of a Predator and Stage Structure Prey. Annals of Applied Mathematics. 35 (2). 139-144. doi:
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