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

2016 ◽  
Vol 07 (07) ◽  
pp. 681-693 ◽  
Author(s):  
Fumin Zhang ◽  
Shujing Gao ◽  
Yujiang Liu ◽  
Yan Zhang
Keyword(s):  
Incidence Rate ◽  
Sir Model ◽  
Time Varying ◽  
Polluted Environment ◽  
Nonlinear Incidence Rate ◽  
Nonlinear Incidence ◽  
Impulsive Release

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.

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