On the approximability of comparing genomes with duplicates.
On the calculation of evolutionarily stable strategies.
On the calculation of optical characters of atmospheric aerosol and soot
On the complex formation approach in modeling predator prey relations, mating, and sexual disease transmission.
On the complexity of the Double Digest Problem
On the control of a truncated general immigration process through the introduction of a predator.
On the controllability of a type of large scale CNN with delays.
On the Convolution of Logistic Random Variables.
On the dense trajectory of Lasota equation.
On the difference equation .
On the discrete kinetic theory for active particles. Modelling the immune competition.
On the dynamics of a delayed SIR epidemic model with a modified saturated incidence rate.
On the Dynamics of a Two-Strain Influenza Model with Isolation
Influenza has been responsible for human suffering and economic burden worldwide. Isolation is one of the most effective means to control the disease spread. In this work, we incorporate isolation into a two-strain model of influenza. We find that whether strains of influenza die out or coexist, or only one of them persists, it depends on the basic reproductive number of each influenza strain, cross-immunity between strains, and isolation rate. We propose criteria that may be useful for controlling...
On the dynamics of a vaccination model with multiple transmission ways
In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the disease-free and endemic equilibria is carried out, and bifurcation theory is applied to explore a variety of dynamics of this model. In addition, we present numerical simulations to verify the model predictions. Mathematical results suggest that vaccination is helpful for disease control by decreasing the control reproduction number below unity....
On the Dynamics of an Impulsive Model of Hematopoiesis
We propose and analyze a nonlinear mathematical model of hematopoiesis, describing the dynamics of stem cell population subject to impulsive perturbations. This is a system of two age-structured partial differential equations with impulses. By integrating these equations over the age, we obtain a system of two nonlinear impulsive differential equations with several discrete delays. This system describes the evolution of the total hematopoietic stem cell populations with impulses. We first examine...
On the equation in planar domains
The blow-up of solutions for a parabolic equation with nonlocal exponential nonlinearity is studied.
On the estimation of averages over infinite intervals with an application to average persistence in population models.
On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination.
On the expectation and variance of the reversal distance.
On the exterior magnetic field and silent sources in magnetoencephalography.