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1. Global Stability of a Three-Species Food-Chain Model with Diffusion and Nonlocal Delays.

Author

Zhang, Xiao, Xu, Rui, and Li, Zhe

Subjects
*FOOD chains, *STABILITY (Mechanics), *REACTION-diffusion equations, *COMPUTER simulation, *MATHEMATICAL analysis, *SPATIO-temporal variation, *MATHEMATICAL variables
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. [ABSTRACT FROM AUTHOR]

Published
2011
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