scholarly journals Global analysis of an epidemic model with nonmonotone incidence rate

2007 ◽  
Vol 208 (2) ◽  
pp. 419-429 ◽  
Author(s):  
Dongmei Xiao ◽  
Shigui Ruan
Keyword(s):  
Incidence Rate ◽  
Epidemic Model ◽  
Global Analysis

Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model with saturated incidence rate

2016 ◽  
Vol 24 (1) ◽  
Author(s):  
Modeste N'zi ◽  
Gérard Kanga
Keyword(s):  
Incidence Rate ◽  
Epidemic Model ◽  
Global Analysis ◽  
Sirs Epidemic Model ◽  
Saturated Incidence Rate ◽  
Saturated Incidence

AbstractIn this paper, we present an SIRS (Susceptible, Infective, Recovered, Susceptible) epidemic model with a saturated incidence rate and disease causing death in a population of varying size. We define a parameter ℜ

scholarly journals ANALISIS TITIK EKUILIBRIUM ENDEMIK MODEL EPIDEMI SEIV DENGAN LAJU PENULARAN NONLINEAR

2010 ◽  
Vol 5 (2) ◽  
Author(s):  
Nurul Hikmah
Keyword(s):  
Equilibrium Point ◽  
Key Words ◽  
Incidence Rate ◽  
Nonlinear Model ◽  
Epidemic Model ◽  
Behavioral Change ◽  
Global Analysis ◽  
Endemic Equilibrium ◽  
Nonlinear Incidence Rate ◽  
Globally Stable

Abstrak. Pada paper ini diberikan model epidemi SEIV dengan laju penularan nonlinear. Model ini menjelaskan tentang efek psikologi dari perubahan perilaku individu yang rentan ketika jumlah individu yang terinfeksi mengalami peningkatan. Dalam paper ini akan dilakukan analisis global dari model epidemi SEIV dan menyelidiki kestabilan global titik ekuilibrium endemik , selanjutnya diperoleh bahwa titik ekuilibrium endemik model epidemi SEIV stabil global. Kata Kunci : SEIV, titik ekuilibrium, kestabilan Abstract. In this paper, we consider a SEIV epidemic model with nonlinear incidence rate. This model describes the psychological effect of the behavioral change of susceptible individuals when the number of infectious individuals increases. By carrying out a global analysis of the model and studying the globally stability of the endemic equilibrium in this paper, we show that the endemic equilibrium of a SEIV epidemic model is globally stable. Key words: SEIV, equilibrium point, stability

scholarly journals Global Dynamics of an Epidemic Model with a Ratio-Dependent Nonlinear Incidence Rate

2009 ◽  
Vol 2009 ◽  
pp. 1-13 ◽  
Author(s):  
Sanling Yuan ◽  
Bo Li
Keyword(s):  
Incidence Rate ◽  
Computer Simulations ◽  
Epidemic Model ◽  
Global Analysis ◽  
Endemic Equilibrium ◽  
Global Dynamics ◽  
Nonlinear Incidence Rate ◽  
Nonlinear Incidence ◽  
Set Up ◽  
Disease Free

We study an epidemic model with a nonlinear incidence rate which describes the psychological effect of certain serious diseases on the community when the ratio of the number of infectives to that of the susceptibles is getting larger. The model has set up a challenging issue regarding its dynamics near the origin since it is not well defined there. By carrying out a global analysis of the model and studying the stabilities of the disease-free equilibrium and the endemic equilibrium, it is shown that either the number of infective individuals tends to zero as time evolves or the disease persists. Computer simulations are presented to illustrate the results.

scholarly journals Modeling and sensitivity analysis of HBV epidemic model with convex incidence rate

2021 ◽  
Vol 22 ◽  
pp. 103836
Author(s):  
Amir Khan ◽  
Rahat Zarin ◽  
Ghulam Hussain ◽  
Auwalu Hamisu Usman ◽  
Usa Wannasingha Humphries ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Incidence Rate ◽  
Epidemic Model
Sign in / Sign up

Export Citation Format

Share Document