Global stability of a three-species food-chain model with diffusion and nonlocal delays
Abstract
In this paper, a three species reaction-diffusion food-chain system with nonlocal delays is investigated. Sufficient conditions are derived for the global stability of a positive steady state and boundary steady states of the system by using the energy function method. Numerical simulations are carried out to illustrate the theoretical results.
Keywords:
food-chain model, reaction-diffusion, nonlocal delay, global stabilityHow to Cite
Zhang, X., Xu, R., & Li, Z. (2011). Global stability of a three-species food-chain model with diffusion and nonlocal delays. Mathematical Modelling and Analysis, 16(3), 376-389. https://doi.org/10.3846/13926292.2011.601769
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Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2011-08-24
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Copyright
Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Zhang, X., Xu, R., & Li, Z. (2011). Global stability of a three-species food-chain model with diffusion and nonlocal delays. Mathematical Modelling and Analysis, 16(3), 376-389. https://doi.org/10.3846/13926292.2011.601769