The analysis of epidemic network model with infectious force in latent and infected period.
The Basic Reproduction Number of an Infectious Disease in a Stable Population: The Impact of Population Growth Rate on the Eradication Threshold
Although age-related heterogeneity of infection has been addressed in various epidemic models assuming a demographically stationary population, only a few studies have explicitly dealt with age-specific patterns of transmission in growing or decreasing population. To discuss the threshold principle realistically, the present study investigates an age-duration-structured SIR epidemic model assuming a stable host population, as the first scheme to account for the non-stationality of the host population....
The complete parameters analysis of the asymptotic behaviour of a logistic epidemic model with two stochastic perturbations.
The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments
In this paper, we propose a new impulsive predator prey model with impulsive control at different fixed moments and analyze its interesting dynamic behaviors. Sufficient conditions for the globally asymptotical stability of the semi-trivial periodic solution and the permanence of the present model are obtained by Floquet theory of impulsive differential equation and small amplitude perturbation skills. Existences of the "infection-free" periodic solution and the "predator-free" solution are analyzed...
The dynamics of the pulse birth in an SIR epidemic model with standard incidence.
The effect of spatial scale on predicting time series: a study on epidemiological system identification.
The Speed of Epidemic Waves in a One-Dimensional Lattice of SIR Models
A one-dimensional lattice of SIR (susceptible/infected/removed) epidemic centres is considered numerically and analytically. The limiting solutions describing the behaviour of the standard SIR model with a small number of initially infected individuals are derived, and expressions found for the duration of an outbreak. We study a model for a weakly mixed population distributed between the interacting centres. The centres are modelled as SIR nodes with interaction between sites determined by a diffusion-type...
Traveling front solutions for a diffusive epidemic model with external sources
Travelling waves in the lattice epidemic model.
Using Lie symmetries in epidemiology.
Vaccination in a model of an epidemic.
Verified solution method for population epidemiology models with uncertainty
Epidemiological models can be used to study the impact of an infection within a population. These models often involve parameters that are not known with certainty. Using a method for verified solution of nonlinear dynamic models, we can bound the disease trajectories that are possible for given bounds on the uncertain parameters. The method is based on the use of an interval Taylor series to represent dependence on time and the use of Taylor models to represent dependence on uncertain parameters...
Асимптотическое поведение финального числа восприимчивых индивидуумов в обобщенных эпидемических процессах