scholarly journals Global stability of a network-based sis epidemic model with a general nonlinear incidence rate

2016 ◽  
Vol 13 (4) ◽  
pp. 723-739 ◽  
Author(s):  
Shouying Huang ◽  
Jifa Jiang
Keyword(s):  
Global Stability ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Nonlinear Incidence Rate ◽  
Nonlinear Incidence ◽  
Sis Epidemic Model ◽  
Sis Epidemic

A SIS Epidemic Model with Eventual Impulsive Effects

2013 ◽  
Vol 393 ◽  
pp. 666-674
Author(s):  
Manuel de La Sen ◽  
A. Ibeas ◽  
S. Alonso-Quesada
Keyword(s):  
Incidence Rate ◽  
Epidemic Model ◽  
Total Population ◽  
Disease Model ◽  
Impulsive Effects ◽  
Time Varying ◽  
Nonlinear Incidence Rate ◽  
Nonlinear Incidence ◽  
Sis Epidemic Model ◽  
Sis Epidemic

This paper studies a time-varyingSIS(i.e.containing susceptible and infected populations) propagation disease model exhibiting a nonlinear incidence rate and impulsive eventual culling of both populations so that the individuals recover with no immunity to the disease. The nonlinear incidence rate consists of two time-varying additive terms proportional to the susceptible and infected populations normalized to the total population.

scholarly journals Extinction and Ergodic Property of Stochastic SIS Epidemic Model with Nonlinear Incidence Rate

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Qixing Han ◽  
Daqing Jiang ◽  
Chengjun Yuan
Keyword(s):  
Incidence Rate ◽  
Nonnegative Solution ◽  
Ergodic Property ◽  
Nonlinear Incidence Rate ◽  
Sis Model ◽  
Nonlinear Incidence ◽  
Sis Epidemic Model ◽  
Stochastic Sis Epidemic Model ◽  
Sis Epidemic ◽  
Stochastic Sis Model

We investigate a stochastic SIS model with nonlinear incidence rate. We show that there exists a unique nonnegative solution to the system, and condition for the infectious individualsI(t)to be extinct is given. Moreover, we prove that the system has ergodic property. Finally, computer simulations are carried out to verify our results.

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