[PDF] Top 20 A delayed SIR model with general nonlinear incidence rate

... the delayed SIR vector disease models with nonlinear incidence ...constant rate rather than the logistic ...the model does not exhibit a Hopf bifurcation, which implies that the ... See full document

... mathematical model to study the effect of both vaccination and quarantine on the spread of Ebola virus, they applied the vaccination strategy to the susceptible ...epidemic model with preventive vaccination ... See full document

... Abstract. One of the most tools for describing the incubation period in the epidemiological dynamic models is the distributed delays. In this paper, we propose a delay-distributed SIR epidemic model with a ... See full document

... Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission , J App Math, 2016; 16 ...an SIR epidemic model with nonlinear incidence rate and ... See full document

... bilinear incidence rate is a simple description of the infection in the references ...a general incidence rate may help us to gain the unification theory by the omission of unessential ... 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 ... See full document

... modified SIR epidemic model with generalized incidence ...a nonlinear incidence ...pf SIR epidemic model with and without ...the model through the basis ... See full document

... Infectious disease is generally considered as the enemy of human health; in history, the epidemic of infectious diseases such as smallpox, cholera, AIDS and so on have brought great disaster to the national economy of a ... See full document

... on SIR (Susceptible-Infected-Removed) epidemic models [1] [2] ...a model, assuming that some susceptible individuals become infected ones, and then the infected individuals flow into three parts, some ... See full document

... The remainder of the paper is organized as follows. In Section 2, we formulate the impulsive epidemic model and also simplify the original system (3). In Section 3, we introduce some useful lemmas and the basic ... See full document

... birth rate, death rate, transmission coefficient and other parameters involved with the system exhibit random fluctuations to a greater or lesser ...epidemic model with general ... See full document

... disease incidence plays an important role in the study of mathematical epi- demiological ...The general form of incidence rate is written as βU(N) N S I, where U(N) is usually called the ... See full document

... epidemic model behavior, one of the most important parts is to analyze steady states together with their stability ...In general, there are two distinct techniques named Lyapunov’s direct method and ... See full document

... epidemic model with relapse and time ...epidemic model with saturation incidence rate function and time delay, and in which the author have given complete local and global stability ... See full document

... a delayed SIR model with exponential demographic structure and the saturated incidence rate is formu- ...the model are given to illustrate the main theoretical ... See full document

... First of all, the total freshwater fish is divided into three groups: Susceptible fish (S), Infected fish (I) and Re- moved fish (R). Motivated by the above works and these literatures [21]-[29], now we investigate the ... See full document

... In this section, we give some numerical simulations to illustrate our theoretical results. Here, we solve the nonlinear fractional system (2) by applying the numerical method pre- sented in [25]. System (2) can be ... See full document

... of SIR epidemic model with general incidence f ...the general incidence function f must satisfy certain assumptions, under which, we establish the global stability of endemic ... See full document

... epidemic model with delay and bilinear ...epidemic model with time delay and nonlinear incidence rate was re- searched by Zhao et ...bilinear incidence rate, ... See full document

... a nonlinear incidence ...a delayed diffusive epidemic model with specific nonlinear incidence rate by constructing a pair of upper and lower solutions and applying the ... See full document