[PDF] Top 20 Stability Analysis for a Discrete SIR Epidemic Model with Delay and General Nonlinear Incidence Function

... of discrete epidemic models is motivate by the fact that there oc- cur situations such that constructing discrete epidemic models is more appro- priate approach to understand disease ... See full document

... SIQR epidemic model and its basic reproduction number and existence of equilibrium are ...local stability of endemic equilibrium and disease-free equilibrium is showed by using Hurwitz ...the ... See full document

... of epidemic disease incorporated a modified SIR epidemic model with generalized incidence ...ity analysis of the disease-free equilibrium and endemic equilibrium with a ... See full document

... many epidemic models have been formulated (see [–] and references ...delayed SIR epidemic model with bilinear incidence rate in order to investigate the spread of vector diseases, ... See full document

... asymptotical stability of periodic orbits through estimating the right derivative of the Lyapunov function, and the global asymp- totical stability of the epidemic equilibrium was proved by ... See full document

... a discrete SIR epidemic model is proposed, which distributed delay, generalized saturating incidence rate and disease-induced mortality are taken into ...This model is ... See full document

... the incidence rate. The form of the incidence rate that is used in the classical Kermack-Mckendrick model (1927) is the simple mass action  SI where  , S and I denote the transmission rate, the ... See full document

... years, discrete epidemic models have been widely ...global stability of disease-free equilibrium and the endemic equilibrium, the persistence, permanence, and extinction of the disease, and ... See full document

... the epidemic models, which display the dynamical behavior of the transmission of infected ...on discrete epidemic models (see ...in discrete time units, such as daily, weekly or monthly, makes ... See full document

... Mathematically epidemic models represent a useful tool to analyze this subject, and reach all factors affecting it through mathematical equations to predict their behavior ...In general, immunity to the ... See full document

... global stability of model (), such as by constructing Lyapunov ...For model (), one addressed whether there exists a codimension-two bifurcation with the eigenvalues w = ±i, ... See full document

... dynamics analysis of various models such as SIR, SEI, SEIR, SIRS and epidemiological disease transmission models transmitted by vectors have been paid by the researchers ...the model reflects more ... See full document

... such epidemic models [5]. In the field of studying epidemic model behavior, one of the most important parts is to analyze steady states together with their stability ...In general, there ... See full document

... a delay-distributed SIR epidemic model with a nonlinear incidence ...asymptotic stability of the disease-free and the endemic equilibria. This analysis extends and ... See full document

... We extended the work of Gbadamosi and Adebimpe to include the rates at which individuals recover and return to susceptible compartment from compartments I and Q respectively and we apply[r] ... See full document

... P is stable and other negative equilibrium points (no meaning in biology) are unstable. No matter how to select the initial value, the system tends to the disease-free equilibrium point after multiple iterations. There- ... See full document

... The rest of the paper is organized as follows. In the next section , we present the global stability analysis of the disease-free equilibrium for deterministic model (1). In Section 3, we prove that ... See full document

... above model is based on the interaction of the population in ...Kendrick model, different epidemic models have been proposed by investigators such as ... See full document

... proprieties, new delay-independent stability conditions under arbitrary switching law are deduced. Compared with the existing results of switched systems, those obtained results are formulated in terms of ... See full document

... The organization of this paper is as follows. In the next section, we prove some pre- liminary results for system (). In Section , the main theorem of this paper is stated and proved. In the last section, a brief ... See full document