scholarly journals Global analysis of an epidemic model with a constant removal rate

2007 ◽  
Vol 45 (7-8) ◽  
pp. 834-843 ◽  
Author(s):  
Yilei Tang ◽  
Weigu Li
Keyword(s):  
Epidemic Model ◽  
Removal Rate ◽  
Global Analysis

A note on the expected number of survivors in supercritical carrier-borne epidemics

1979 ◽  
Vol 16 (3) ◽  
pp. 646-650 ◽  
Author(s):  
Roy Saunders ◽  
Claude Lefèvre ◽  
Richard J. Kryscio
Keyword(s):  
Conditional Probability ◽  
Epidemic Model ◽  
Removal Rate ◽  
Delta Function ◽  
Formal Proof ◽  
Initial Number ◽  
Expected Number ◽  
Kronecker Delta

We provide a formal proof of a conclusion due to Abakuks (1974) which states that the expected number of survivors in Downton's carrier-borne epidemic model approaches the limit (ρ /π)δ as the initial number of susceptibles tends to infinity. Here ρ denotes the relative removal rate for carriers, π denotes the conditional probability that an infected susceptible will become a carrier, δ denotes the Kronecker delta function and denotes the initial number of carriers.

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 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

scholarly journals Global analysis of an epidemic model with vaccination

2017 ◽  
Vol 57 (1-2) ◽  
pp. 605-628 ◽  
Author(s):  
Li-Ming Cai ◽  
Zhaoqing Li ◽  
Xinyu Song
Keyword(s):  
Epidemic Model ◽  
Global Analysis

Global analysis of a periodic epidemic model on cholera in presence of bacteriophage

2016 ◽  
Vol 39 (14) ◽  
pp. 4181-4195 ◽  
Author(s):  
Tridip Sardar ◽  
Santanu Biswas ◽  
Joydev Chattopadhyay
Keyword(s):  
Epidemic Model ◽  
Global Analysis
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