Volume 35, Issue 1
The Stability of a Reaction-Diffusion Lotka-Volterra Competitive System with Nonlocal Delays and Feedback Controls

Zhong LiZhenliang Zhu

Ann. Appl. Math., 35 (2019), pp. 71-98.

Published online: 2020-08

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  • Abstract

In this paper, we consider a Lotka-Volterra competitive system with nonlocal delays and feedback controls. Using the Lyapunov functional and iterative technique method, we investigate the global stability and extinction of the system. Also, we show the influence of feedback controls on dynamic behaviors of the system. Some examples are presented to verify our main results.

  • Keywords

extinction, feedback control, reaction-diffusion, Lotka-Volterra, nonlocal delays.

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COPYRIGHT: © Global Science Press

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@Article{AAM-35-71, author = {Li , Zhong and Zhu , Zhenliang}, title = {The Stability of a Reaction-Diffusion Lotka-Volterra Competitive System with Nonlocal Delays and Feedback Controls}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {35}, number = {1}, pages = {71--98}, abstract = {

In this paper, we consider a Lotka-Volterra competitive system with nonlocal delays and feedback controls. Using the Lyapunov functional and iterative technique method, we investigate the global stability and extinction of the system. Also, we show the influence of feedback controls on dynamic behaviors of the system. Some examples are presented to verify our main results.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18068.html} }
TY - JOUR T1 - The Stability of a Reaction-Diffusion Lotka-Volterra Competitive System with Nonlocal Delays and Feedback Controls AU - Li , Zhong AU - Zhu , Zhenliang JO - Annals of Applied Mathematics VL - 1 SP - 71 EP - 98 PY - 2020 DA - 2020/08 SN - 35 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/18068.html KW - extinction, feedback control, reaction-diffusion, Lotka-Volterra, nonlocal delays. AB -

In this paper, we consider a Lotka-Volterra competitive system with nonlocal delays and feedback controls. Using the Lyapunov functional and iterative technique method, we investigate the global stability and extinction of the system. Also, we show the influence of feedback controls on dynamic behaviors of the system. Some examples are presented to verify our main results.

Zhong Li & Zhenliang Zhu. (2020). The Stability of a Reaction-Diffusion Lotka-Volterra Competitive System with Nonlocal Delays and Feedback Controls. Annals of Applied Mathematics. 35 (1). 71-98. doi:
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