[PDF] Top 20 Stability Analysis of Conjunctivitis Model with Nonlinear Incidence Term

... is used that shows the number of infected people in fraction. The standard method is used to analyze the behaviors of the proposed model. The results shown that there were two equilibrium points; disease free and ... See full document

... models, incidence is the rate at which susceptible persons become ...Various incidence rates have been investigated by ...Bilinear, nonlinear, standard, saturated, specific nonlinear, general ... See full document

... a model, assuming that some susceptible individuals become infected ones, and then the infected individuals flow into three parts, some remains at class I , some move into the removed R after recovering health, ... See full document

... SIS model with double epidemic hypothesis and specific nonlinear incidence ...the stability of the disease-free equilibrium of the model are ... See full document

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

... SIRS model with vaccination immunity, in which susceptible individ- uals can obtain short-term immunity after vaccination but return to the susceptible compartment after a short time ... See full document

... studied stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates, at the same time, they proved disease-free equilibrium was globally asymptotically stable ... See full document

... It is well known that the rate of incidence plays the main part in modeling infectious diseases. The rise and fall of epidemics can be influenced by some factors, such as density of population and life style [18, ... See full document

... The stability of convection in a two-layer system in which a layer of fluid with a temperature dependent viscosity overlies and saturates a highly porous material is ...the nonlinear advec- tion term ... See full document

... standard incidence rates have been frequently used in classical epidemic models ...ferent incidence rates have been proposed by ...saturated incidence rate g(I)S into epidemic ...epidemic ... 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

... a nonlinear in- cidence rate [, ]. In addition, some general nonlinear incidence βg(I)S [], Sg(I) [], g(S, I) [] and g(S, I, N) [] are used in ...standard incidence, complex dynamic ... See full document

... epidemic model with nonlinear incidence rates is ...the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are ob- tained by using the ... See full document

... global stability of disease ...epidemic model is an important ...This model has been studied by many authors [1–11]; however, many literature works did not consider disease resistance in ... See full document

... in model (1) is in the sense of Caputo definition, which is a modification of the Riemann-Liouville definition, and has the advantage that the initial values for fractional differential equations with Caputo ... See full document

... epidemic model with general incidence f ...general incidence function f must satisfy certain assumptions, under which, we establish the global stability of endemic equilibrium when R 0 > 1 ... See full document

... for nonlinear systems subject to parameter ...the stability analysis and control synthesis, an IT2 T- S fuzzy model is employed to represent the dynamics of nonlinear systems of which ... See full document

... DOI: 10.4236/jamp.2017.512188 2312 Journal of Applied Mathematics and Physics is not immediately, but after a period of time, to onset and into the herd of in- fected people. In the paper, on the basis of the work of ... See full document

... a nonlinear porous finite element analysis for cartilage and meniscus and linear model for knee stability after anterior cruciate ligament ... See full document

... global stability conditions of equilibrium points of discrete-time dynamic model with and without Allee ...local stability and the global stability of equilibrium points of the population ... See full document