Titlebook: Mathematical Modeling and Applications in Nonlinear Dynamics; Albert C.J. Luo,Hüseyin Merdan Book 2016 Springer International Publishing A

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填满

Random Noninstantaneous Impulsive Models for Studying Periodic Evolution Processes in Pharmacotheraby random, noninstantaneous, impulsive, nonautonomous periodic evolution equations. This type of impulsive equation can describe the injection of drugs in the bloodstream, and the consequent absorption of them in the body is a random, periodic, gradual, and continuous process. Sufficient conditions

抗原

弯曲道理

electrolyte

,Mathematical Analysis of a Delayed Hematopoietic Stem Cell Model with Wazewska–Lasota Functional Preir stability with respect to the time delay and the apoptosis rate of proliferating cells. We show that a sequence of Hopf bifurcations occurs at the positive steady state as the delay crosses some critical values. We illustrate our results with some numerical simulations.

生命层

Random Noninstantaneous Impulsive Models for Studying Periodic Evolution Processes in Pharmacotheraon the existence of periodic and subharmonic solutions are established, as are other related results such as their globally asymptotic stability. The dynamical properties are also derived for the whole system, leading to the theory of fractals. Finally, examples are given to illustrate our theoretical results.

nettle

Iniquitous

,Delay Effects on the Dynamics of the Lengyel–Epstein Reaction-Diffusion Model, theory and the center manifold reduction for partial functional differential equations, we also determine the direction of the Hopf bifurcations and the stability of bifurcating periodic solutions for the PDE model. Finally, we perform some numerical simulations to support analytical results obtained for the ODE models.

易改变

整洁

On Periodic Motions in a Time-Delayed, Quadratic Nonlinear Oscillator with Excitation,urier series, and the stability and bifurcation analysis for periodic motions are discussed. The bifurcation trees of period-1 motion to chaos can be presented. Numerical illustration of periodic motion is given to verify the analytical solutions.