The analysis of epidemic network model with infectious force in latent and infected period.
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Displaying 1 – 9 of 9
The Basic Reproduction Number of an Infectious Disease in a Stable Population: The Impact of Population Growth Rate on the Eradication Threshold
H. Inaba, H. Nishiura (2008)
Mathematical Modelling of Natural Phenomena
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.
Fan, Dejun, Wang, Ke, Hong, Ling (2009)
Mathematical Problems in Engineering
The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments
Lin Jun Wang, You Xiang Xie, Qi Cheng Deng (2018)
Kybernetika
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.
Zhang, Juping, Jin, Zhen, Xue, Yakui, Li, Youwen (2009)
Discrete Dynamics in Nature and Society
The effect of spatial scale on predicting time series: a study on epidemiological system identification.
Monteiro, L.H.A., Oliveira, D.N., Chaui-Berlinck, J.G. (2009)
Mathematical Problems in Engineering
The Speed of Epidemic Waves in a One-Dimensional Lattice of SIR Models
Igor Sazonov, Mark Kelbert, Michael B. Gravenor (2008)
Mathematical Modelling of Natural Phenomena
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
Smaïl Djebali (2001)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Travelling waves in the lattice epidemic model.
Yu, Zhixian, Yuan, Rong (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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