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The effect of environmental variation on stable coexistence of competitors: experimental evidence from zooplankton (<i>Daphnia magna</i> and <i>D. pulex</i>). [PDF]
J Plankton ResEinum S +4 more
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Local dynamics of spatially distributed Hutchinson equation
Communications in Nonlinear Science and Numerical Simulation, 2011Abstract The local dynamics of spatially distributed Hutchinson equation is studied. In critical cases, which all have infinite dimension, systems of parabolic equations are built, which play the role of normal forms.
Ilia Kashchenko
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Spatially heterogeneous periodic solutions of the Hutchinson equation with distributed saturation
Automatic Control and Computer Sciences, 2013Asymptotics of spatially heterogeneous periodic solutions of the spatially distributed Hutchinson equation with periodic boundary conditions are obtained in cases of symmetric and asymmetric saturations. The numerical analysis of a simplified model shows the multistability, i.e., the coexistence of periodic solutions in the form of travelling waves ...
Sergey D. Glyzin +2 more
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Hopf bifurcation in Hutchinson’s equation with distributed delay
AIP Conference Proceedings, 2014In this article we deal with the Hutchinson’s equation with distributed delay dx(t)dt = rx(t)(1−a1x(t)−a2(t−τ)−a3 ∫ −∞tf(t−s)x(s)ds where r,τ,a1,a2,a3 are positive constants and f is the delay kernel function. By analyzing the associated characteristic equation, the local stability of positive equilibrium and Hopf bifurcation are investigated.
I Darti
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Stability analysis of a discrete Hutchinson equation with discrete and distributed delay
AIP Conference Proceedings, 2014In this paper a Hutchinson equation with discrete and distributed delay is discretized by the Euler method. The dynamics of the obtained discrete system is then investigated. Specifically the stability of the positive fixed point is analyzed. It is found that for sufficiently small time-step of integration, the positive equilibrium undergoes a Neimark ...
A. Suryanto +2 more
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Iill-Posed Problem of Reconstruction of the Population Size in the Hutchinson–Wright Equation
Ural Mathematical Journal, 2015 We consider an ill-posed problem of reconstruction of the population size in the Hutchinson – Wright Equation.
Platon G Surkov
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The Hutchinson Equation With Pulse Harvesting
IFSR International Series on Systems Science and Engineering, 2021Kevin E M Church, Xinzhi Liu
exaly