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Nonlinear Incidence Rate

A delayed SIR model with general nonlinear incidence rate

A delayed SIR model with general nonlinear incidence rate

... An SIR epidemic model is investigated and analyzed based on incorporating an incubation time delay and a general nonlinear incidence rate, where the growth of susceptible individuals is governed by ...

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Dynamics of a Nonautonomous Plant Disease Model with General Nonlinear Incidence Rate and Time Varying Impulse

Dynamics of a Nonautonomous Plant Disease Model with General Nonlinear Incidence Rate and Time Varying Impulse

... DOI: 10.4236/jamp.2019.710171 2520 Journal of Applied Mathematics and Physics model with generalized incidence rate g I t ( ( ) ) S t ( ) . To address the time-varying nature of the coefficients more ...

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Global Analysis of an SEIR Epidemic Model with a Ratio Dependent Nonlinear Incidence Rate

Global Analysis of an SEIR Epidemic Model with a Ratio Dependent Nonlinear Incidence Rate

... the incidence rate (the rate of new infections) is bilinear in the infective and suscepti- ble individuals, see [5] [6] ...a nonlinear incidence rate, see [8] [9] ...

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Delay induced Hopf bifurcation of an SVEIR computer virus model with nonlinear incidence rate

Delay induced Hopf bifurcation of an SVEIR computer virus model with nonlinear incidence rate

... infection rate. However, there are several reasons why bilinear infection rate requires modification ...specific nonlinear infection ...treatment rate may be slow due to the lower effectiveness ...

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Hopf bifurcation of a delayed SIQR epidemic model with constant input and nonlinear incidence rate

Hopf bifurcation of a delayed SIQR epidemic model with constant input and nonlinear incidence rate

... bilinear incidence rate βSI is frequently used in many epidemic models ...bilinear incidence rate is based on the law of mass action, which is more ap- propriate for communicable diseases, but ...

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STABILITY ANALYSIS OF A DELAYED FRACTIONAL ORDER SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE

STABILITY ANALYSIS OF A DELAYED FRACTIONAL ORDER SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE

... Abstract: In this paper, we study the stability of a fractional order SIRS epi- demic model with nonlinear incidence rate and time delay, where the fractional derivative is defined in the Caputo ...

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An stochastic sirs model with nonlinear incidence rate and transfer from infectious to susceptible

An stochastic sirs model with nonlinear incidence rate and transfer from infectious to susceptible

... In this paper, we studied that asymptotic behaviors of an stochastic SIRS model with nonlinear incidence rate and transfer from infectious to susceptible. First of all, we given the global existence ...

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Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis

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 ...

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Stability analysis of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate

Stability analysis of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate

... Abstract. The purpose of this work is to investigate the almost surely exponentially stable of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate. We ...

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Dynamics of a Nonautonomous SIR Model with Time Varying Impulsive Release and General Nonlinear Incidence Rate in a Polluted Environment

Dynamics of a Nonautonomous SIR Model with Time Varying Impulsive Release and General Nonlinear Incidence Rate in a Polluted Environment

... In a polluted environment, considering the biological population infected with a kind of disease and hunted by human beings, we formulate a nonautonomous SIR population-epidemic model with time-varying impulsive release ...

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Dynamic Analysis for a SIQR Epidemic Model with Specific Nonlinear Incidence Rate

Dynamic Analysis for a SIQR Epidemic Model with Specific Nonlinear Incidence Rate

... [9] Adnani, J., Hattaf, K. and Yousfi, N. (2013) Stability Analysis of a Stochastic SIR Epidemic Model with Specific Nonlinear Incidence Rate. International Journal of Stochastic Analysis , 2013, ...

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A fractional order SIR epidemic model with nonlinear incidence rate

A fractional order SIR epidemic model with nonlinear incidence rate

... In epidemiology, many works involving fractional order derivative have been done, and most of them are mainly concerned with SIR-type models with linear incidence rate [9– 12]. In [13], Saeedian et al. ...

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Stability analysis of a disease resistance SEIRS model with nonlinear incidence rate

Stability analysis of a disease resistance SEIRS model with nonlinear incidence rate

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

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Analysis of an SIRS epidemic model with nonlinear incidence and vaccination

Analysis of an SIRS epidemic model with nonlinear incidence and vaccination

... Abstract. In this paper, we study an SIRS epidemic model with a nonlinear incidence rate and vaccination. We give the existence of positivity, and boundedness of the equilibrium of the model. We ...

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Global Analysis for a Delay-Distributed SIR Epidemic Model

Global Analysis for a Delay-Distributed SIR Epidemic Model

... recruitment rate of the population, µ is the natural death of the population, α is the death rate due to disease, γ is the recovery rate of the infectious individuals, and h is the incubation ...the ...

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Analysis of a Delayed SIR Model with Exponential Birth and Saturated Incidence Rate

Analysis of a Delayed SIR Model with Exponential Birth and Saturated Incidence Rate

... with nonlinear incidence ...saturated incidence rate g I S   into epi- demic models, where g I   tends to a saturation level when I t   reach the maximum number of effective contacts ...

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Traveling Waves with Critical Speed in a Delayed Diffusive Epidemic Model

Traveling Waves with Critical Speed in a Delayed Diffusive Epidemic Model

... a nonlinear incidence ...specific nonlinear incidence rate by constructing a pair of upper and lower solutions and applying the Schauder’s fixed point ...

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An Improved Method to an Impulsive and Delayed Discretized Model

An Improved Method to an Impulsive and Delayed Discretized Model

... the nonlinear incidence rate β S t I t ( ) ( ) ( 1 + α I t ( ) ) , they have found the basic reproduction R 0 and obtain an infection-free periodic solution ( S t ( ) , 0 ) for the ...with ...

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Linear and nonlinear foreign exchange rate exposures

Linear and nonlinear foreign exchange rate exposures

... exchange rate exposure phenomenon using a new data set and improved ...addition, nonlinear exposures are substantially more statistically significant for all for- eign exchange ...exchange rate move- ...

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Incidence rate of ovarian cancer cases in Saudi Arabia: an observational descriptive epidemiological analysis of data from Saudi Cancer Registry 2001–2008

Incidence rate of ovarian cancer cases in Saudi Arabia: an observational descriptive epidemiological analysis of data from Saudi Cancer Registry 2001–2008

... Results: A total of 991 ovarian cancer cases were recorded in the SCR from January 2001–De- cember 2008. The region of Riyadh had the highest overall ASIR at 3.3 cases per 100,000 women, followed by the Jouf and Asir ...

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