[PDF] Top 20 Complex dynamics in an SIS epidemic model with nonlinear incidence
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Complex dynamics in an SIS epidemic model with nonlinear incidence
... their epidemic model with saturated incidence rate undergoes a Bogdanov–Takens bifurcation of codimension ...the incidence of a combination of the saturated incidence rate and a ... See full document
22
Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
... where the parameters of system () have the same biological meaning as in system (). The rest of the paper, we will dedicate to study the deterministic system () and the stochas- tic system () with nonlinear ... See full document
27
Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates
... stochastic SIS epidemic model with nonlinear incidence rate is proposed and ...global dynamics is investigated by using the theory of stochastic differential equations; especially ... See full document
19
Stability analysis of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate
... susceptible-infected-susceptible SIS epidemic model is often used to model the dynamics of the diseases such as the bacterial diseases and some sexually transmitted diseases where ... See full document
15
Dynamical behaviors of a discrete SIS epidemic model with standard incidence and stage structure
... mathematical epidemic models in discrete time have been established to describe the dynamical evolution of ...discrete SIS epidemic model and investigated its complex ...and SIS ... See full document
23
Global dynamics for a class of discrete SEIRS epidemic models with general nonlinear incidence
... a nonlinear differential equa- tion with a given initial ...continuous model to obtain the corresponding discrete ...continuous model, including the standard methods, such as Euler method, Runge-Kutta ... See full document
20
Stability and Bifurcation Analysis in A SEIR Epidemic Model with Nonlinear Incidence Rates
... The dynamics of system (3) with delays could be more complicated and ...of dynamics of SEIR epidemic model with nonlinear incidence rates, in this paper, we study the stability, ... See full document
8
Estimation of the number of incidence in the epidemic dynamics model with latent period
... dynamic model of infectious diseases, the use of traditional methods to estimate the number of incidence, there is often a theoretical analysis of high complexity, immediacy and ...The nonlinear ... See full document
6
Dynamic Analysis for a SIQR Epidemic Model with Specific Nonlinear Incidence Rate
... of incidence rates in existing li- teratures, including the bilinear incidence rate, the saturation incidence, Bed- dington-DeAngelis incidence [10] and Crowley-Martin response ...saturation ... See full document
21
Some properties of the Kermack McKendrick epidemic model with fractional derivative and nonlinear incidence
... some epidemic models based on dynamics with first-order derivative were unable to reproduce the sta- tistical data collected in a real outbreak of some disease with enough degree of ... See full document
9
Stability analysis of HIV/AIDS epidemic model with nonlinear incidence and treatment
... transmission dynamics has been of great interest to both ap- plied mathematicians and biologists due to its universal threat to ...given epidemic [– ]. Yusuf and Benyah [] presented a deterministic ... See full document
13
Dynamical behaviors of an SIRI epidemic model with nonlinear incidence and latent period
... epidemiological model in a population was formulated by Tudor [], which con- sists of a system with three compartments: susceptible, infective, and removed individuals, labeled by S, I, ...this model, ... See full document
18
A Mathematical Model for SIS Cholera Epidemic with Quarantine Effect
... the complex epidemic and endemic behavior of ...epidemic model. They studied and analyzed the effects of quarantine and incidence on the spread of cholera disease ... See full document
7
An stochastic sirs model with nonlinear incidence rate and transfer from infectious to susceptible
... population dynamics of infectious disease areused ...simplest epidemic model is the Kermack-Mckendrickmodel (Kermack et ...the incidence rate is an important factor in the transmission of ... See full document
9
Analysis of an SIRS epidemic model with nonlinear incidence and vaccination
... mathematical model with a nonlinear ...Their model does not take into account the vaccination, which plays a critical role in the control of the disease ...mathematical model to study the ... See full document
14
A fractional order SIR epidemic model with nonlinear incidence rate
... In system (1), S(t), I(t), and R(t) represent the numbers of susceptible, infective, and re- covered individuals at time t, respectively. is the recruitment rate of the population, μ is the natural death rate, while d is ... See full document
9
Control Model of the HIV/AIDS Epidemic Based on Kinetic Equation
... aids epidemic/2012” in Novem- ber 20, 2012 at Geneva ...unprecedented dynamics response action, the new HIV infection rate is reduced by more than 50% in 25 low-income ... See full document
6
Traveling Waves with Critical Speed in a Delayed Diffusive Epidemic Model
... in epidemic models and the time variation governs the dynamical behaviour of the epidemic ...the epidemic to others immediately after being infected, and a certain amount of biological development is ... See full document
14
The asymptotic behavior of a stochastic SIS epidemic model with vaccination
... difference between the solution and the endemic equilibrium of the deterministic model in time average, they derived that the disease would persist. However, the authors did not consider the case when the ... See full document
20
The threshold of stochastic SIS epidemic model with saturated incidence rate
... the incidence rate, some employ the bilinear incidence rate β SI [, ]; the classical SIS model with a bilinear incidence rate for a constant population ... See full document
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