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Displaying 121 –
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150
In this work we deal with the design of the robust feedback control of
wastewater treatment
system, namely the activated sludge process. This problem is formulated by a
nonlinear
ordinary differential system. On one hand, we develop a robust analysis when the
specific growth
function of the bacterium μ is not well known. On the other hand, when also
the substrate concentration
in the feed stream sin is unknown, we provide an observer of system and
propose a design
of robust feedback control in...
Due to wide range of interest in use of bio-economic models
to gain insight into the scientific management of renewable resources like
fisheries and forestry,variational iteration method (VIM) is employed to
approximate the solution of the ratio-dependent predator-prey system with
constant effort prey harvesting.The results are compared with the results
obtained by Adomian decomposition method and reveal that VIM is very
effective and convenient for solving nonlinear differential equations.
The Lyapunov exponent is a statistic that measures the sensitive dependence of the dynamic behaviour of a system on its initial conditions. Estimates of Lyapunov exponents are often used to characterize the qualitative population dynamics of insect time series. The methodology for estimation of the exponent for an observed, noisy, short ecological time series is still under development. Some progress has been made recently in providing measures of error for these exponents. Studies that do not account...
In this paper, we investigate the complex dynamics of a spatial plankton-fish system with
Holling type III functional responses. We have carried out the analytical study for both
one and two dimensional system in details and found out a condition for diffusive
instability of a locally stable equilibrium. Furthermore, we present a theoretical
analysis of processes of pattern formation that involves organism distribution and their
interaction of spatially...
Finite-size fluctuations arising in the dynamics of competing populations may have dramatic influence on their fate. As an example, in this article, we investigate a model of three species which dominate each other in a cyclic manner. Although the deterministic approach predicts (neutrally) stable coexistence of all species, for any finite population size, the intrinsic stochasticity unavoidably causes the eventual extinction of two of them.
Sufficient conditions for the existence of a topological conjugacy between a cascade obtained from a weakly nonlinear flow by fixing the time step and a cascade obtained by the Euler method are analysed. The aim of this paper is to provide relations between constants in the Fečkan theorem. Given such relations an implementation of a weakly nonlinear neuron is possible.
We present a dynamic geometric model of phyllotaxis based on two postulates, primordia
formation and meristem expansion. We find that Fibonacci, Lucas, bijugate and multijugate
are all variations of the same unifying phenomenon and that the difference lies in the
changes in position of initial primordia. We explore the set of all initial positions and
color-code its points depending on the phyllotactic pattern that arises.
Currently displaying 121 –
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