On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission.
On the age-dependent predator-prey model
The paper deals with the description of a model which is the synthesis of two classical models, the Lotka-Volterra and McKendrick-von Foerster models. The existence and uniqueness of the solution for the new population problem are proved, as well the asymptotic periodicity but under some simplifying assumptions.
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 dense trajectory of Lasota equation.
On the difference equation .
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 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 global dynamics of the cancer AIDS-related mathematical model
In this paper we examine some features of the global dynamics of the four-dimensional system created by Lou, Ruggeri and Ma in 2007 which describes the behavior of the AIDS-related cancer dynamic model in vivo. We give upper and lower ultimate bounds for concentrations of cell populations and the free HIV-1 involved in this model. We show for this dynamics that there is a positively invariant polytope and we find a few surfaces containing omega-limit sets for positive half trajectories in the positive...
On the linearized stability of age-structured multispecies populations.
On the real-time emission control - case study application
On the semigroups of age-size dependent population dynamcis with spatial diffusion.
On the Short Term Behaviour of Genetic Algorithms