Abstract: On the basis of the classic SEIR compartmental model, a time-delayed term was introduced to characterize the latent delay. Furthermore, a controlled time-varying SEIR model with delay was established in view of the vaccination, the successfully immune rate and the seasonally varying incidence coeffi...
Abstract: The existence of traveling wave solutions for nonlocal dispersal SIR epidemic models with delay was studied. Firstly, the boundedness of I was proved by contradiction. Then according to the boundedness of I, the existence of traveling waves with c>c* was established. Secondly, through further ana...
Abstract: Based on a class of HIV-1 infection immunotherapy models, an HIV-1 infection model with pulsed immunotherapy was addressed. The non-negativity and uniform boundedness of the solutions to the pulsed immunotherapy model were studied with the pulsed differential equation theory. According to the Floque...
Abstract: A combined artificial neural network method was proposed to solve 1D time fractional diffusion equations. The combined artificial neural network is a new network structure constructed through combination of the radial basis function (RBF) neural network and the power series feed-forward neural netwo...
Abstract: The traditional parallel computing of large-scale discrete elements was suitable for spherical particles. However, in natural fields or industrial applications, the granular systems commonly comprise non-spherical particles. Meanwhile, the dynamic behaviors and mechanical properties of non-spherical...
Abstract: An L-stable method over time intervals for differential-algebraic equations of multibody system dynamics was presented. The solution scheme was established based on equidistant nodes and non-equidistant nodes such as Chebyshev and Legendre nodes. According to Ehle’s theorem and conjecture, the unkno...
Abstract: A human body-exoskeleton model with human-machine interaction was established. The human body and the exoskeleton were modeled respectively with a 7-link rigid body mechanism, and the D-H coordinate system was introduced to obtain the change vectors of the human-machine model during motion. The Newt...
Abstract: Based on the composite Simpson’s quadrature rule and the composite 2-point Gauss-Legendre quadrature rule, 2 high-order finite difference schemes were proposed for solving time distributed-order diffusion equations. Other than the existing methods whose convergence rates are only 1st-order or 2nd-or...
Abstract: To realize fast and accurate servo tracking of the canopy height, an electro-hydraulic servo system was used for the position adjustment device. The electro-hydraulic servo system was modeled with the load of the sprayer boom. First, the strong non-linearity and parameters’ uncertainties were well c...
Abstract: The Lie symmetry method was studied for constrained Hamiltonian systems, and the conservation laws of the field theory systems were obtained. Firstly, the generalized canonical equations for constrained Hamiltonian systems were derived. Secondly, the determining equations and structural equations ab...
