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In this paper, a nutrient–phytoplankton model described by a couple of reaction-diffusion equations with delay is studied analytically and numerically. The aim of this research is to provide an understanding of the impact of delay on the nutrient–phytoplankton dynamics. Significantly, the delay can not only induce instability of a positive equilibrium, but also promote the formation of patchiness...
In this paper, the dynamic complexity of an apparent competition community model with the Beddington-DeAngelis functional response is studied using Lyapunov exponents and bifurcation diagrams. Furthermore, the equilibrium points of the model are investigated analytically. The system exhibits many complex features, experiencing stable, periodic and chaotic dynamics for various choices of the growth...
This paper reports an investigation of the emergence of a ratio-dependent predator-prey system with Hassell-Varley-type functional response and reaction diffusion. The instability of the uniform equilibrium of the model is discussed. The conditions for Hopf and Turing bifurcation are obtained in a spatial domain. Furthermore, spatial pattern formation is illustrated by means of numerical simulation,...
In this paper, the dynamic complexity of a three-species ecological system with the Beddington-DeAngelis functional response is studied by using Lyapunov exponents, and bifurcation diagrams. Furthermore, the effects of intraspecies density dependence (IDD) on the dynamics of the model are investigated. It has been found that the addition of IDD to a three-species ecological model stabilizes the system,...
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