Institute for Advanced Studies in Basic Sciences, Zanjan, Iran

Ref: J. C. Sprott, J. C. Wildenberg, and Y. Azizi, Chaos Solitons & Fractals 26, 1035-1043 (2005)

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Fig. 1. Eigenvalues of the coexisting equilibrium with N = 100 and s = 1.

Fig. 2. A one-dimensional ring of species interacting according to
Eq. (2).

Fig. 3. Largest Lyapunov exponent and Kaplan-Yorke dimension for Eq.
(2) with s = 1.

Fig. 4. Largest Lyapunov exponent for
Eq. (2) with N = 100 showing
the quasiperiodic route to chaos that is typical of high-dimensional
systems.

Fig. 5. Spatiotemporal plot of |x_{i}_{+1} - x_{i}| from Eq. (2) with N = 480 and s = 1.

Fig. 6. Spatiotemporal cross-correlation function with N = 100 and s = 1 showing propagation and dispersion.

Fig. 7. Total biomass, biodiversity, and a typical x(t) versus time for Eq. (2) with N = 100 and s = 1.

Fig. 6. Spatiotemporal cross-correlation function with N = 100 and s = 1 showing propagation and dispersion.

Fig. 7. Total biomass, biodiversity, and a typical x(t) versus time for Eq. (2) with N = 100 and s = 1.