[PDF] Top 20 Stability Analysis of a Deterministic Epidemic Model in Metapopulation Setting

... An epidemic model, where the presence or absence of an epidemic wave is characterized by the value of R 0 j both ideas of the inner equilibrium point of stability properties ... See full document

... Abstract: In this paper, the objective was to find out the influence of introducing treatment at the latent period of disease (infectious) transmission as a result the global dynamics of the SEIR epidemic ... See full document

... scenario analysis in case of an emerging ...this setting is the subdi- vision in age classes, following the empirical evidence collected during the initial phase of the ...The analysis of early ... See full document

... In this paper, we pay attention to the discrete situation of (1). From discussing the influence of the coefficient parameters effected on the eigenvalues, we give the hyperbolicity of equilibrium points and determine ... See full document

... given epidemic [– ]. Yusuf and Benyah [] presented a deterministic model for controlling the spread of the disease, and the results show that the optimal way to mitigate the spread of the disease ... See full document

... In epidemic models, incidence is the rate at which susceptible persons become ...in epidemic models and provided a detailed analysis of the proposed models ... See full document

... popular epidemic model in Kermack and McKendrick [1] divides the population into three compart- ments: susceptible (S), in which individuals are not currently harbouring the disease but are liable to ... See full document

... It is easy to see that system (1.3) includes (1.1) and (1.2) as special cases and so model (1.3) provides a uniform setting for the computer virus and biological virus studies. Fol- lowing the classical ... See full document

... this model. Our theoretical analysis focuses on the transcritical bifurcation at the disease-free equilibrium point and the period-doubling bi- furcation at endemic equilibrium ...the stability of ... See full document

... stochastic epidemic model in Meta-population set- ting. The stochastic model is obtained from the deterministic model by set up random perturbations about the endemic equilibrium ...the ... See full document

... We also compare the effect of quarantine and behavioural change on the transmission of the disease. It is established that that measures the rate of behavioural changes in infective and that measure the rate of ... See full document

... Changjin Xu is a lecturer in Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang, China. He received his M.S. from Kunming ... See full document

... HIV/AIDS model with treatment, vertical transmission and time ...local stability of disease free equilibrium, we calculated the basic reproduction number R 0 ... See full document

... classical epidemic models ...cholera epidemic spread in Bari in 1973, Capasso and Serio [3] introduced a saturated incidence rate g(I)S into epidemic ...an epidemic model with specific ... See full document

... the stability of a system by creating oscillations and chaos ...involve stability but also involve several other kinds of behaviour, such as persistence, attractiveness and periodic solution ... See full document

... disease model with the quarantine and latent, and get the threshold value which determines the global dynamics and the outcome of the ...The model has a disease-free equilibrium which is unstable when the ... See full document

... Case (ii): Fixing parameters N = 100, p = 0.0005, β = 0.8, a = 3.5 and varying γ. The bifurcation diagrams of model (3.2) are plotted with recovery rate γ ∈ (0, 0.4), as the bifurcation parameter. When γ ∈ (0, ... See full document

... new model of a stochastic oscillator having a fluctuating mass, which, among other processes, describes Brownian motion with ...detailed stability analysis has been performed for white and ... See full document

... stochastic setting, environments will occur where the travelling wave is brought to a halt by an insuper- able barrier of high-quality patches, and these occur more often where habitat quality is correlated over ... See full document

... an epidemic model with age-structure in the exposed and infectious classes for a disease like ...the model is ...local stability of disease-free and endemic steady ...age-structured ... See full document