Stability and Sensitivity Analysis of the iSIR Model for Indirectly Transmitted Infectious Diseases with Immunological Threshold

2014 ◽  
Vol 74 (5) ◽  
pp. 1418-1441 ◽  
Author(s):  
Jude D. Kong ◽  
William Davis ◽  
Xiong Li ◽  
Hao Wang
Keyword(s):  
Sensitivity Analysis ◽  
Infectious Diseases ◽  
Immunological Threshold

scholarly journals Rich Dynamics of a Brucellosis Model with Transport

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Juan Liang ◽  
Zhirong Zhao ◽  
Can Li
Keyword(s):  
Numerical Simulation ◽  
Sensitivity Analysis ◽  
Infectious Diseases ◽  
Basic Reproduction Number ◽  
Reproduction Number ◽  
Great Influence ◽  
Stable State ◽  
Initial Values ◽  
Si Model ◽  
The Basic Reproduction Number

Brucellosis is one of the major infectious diseases in China. In this study, we consider an SI model of animal brucellosis with transport. The basic reproduction number ℛ0 is obtained, and the stable state of the equilibria is analyzed. Numerical simulation shows that different initial values have a great influence on results of the model. In addition, the sensitivity analysis of ℛ0 with respect to different parameters is analyzed. The results reveal that the transport has dual effects. Specifically, transport can lead to increase in the number of infected animals; besides, transport can also reduce the number of infected animals in a certain range. The analysis shows that the number of infected animals can be controlled if animals are transported reasonably.

scholarly journals Within-host mathematical modelling of the incubation period of Salmonella Typhi

2019 ◽  
Vol 6 (9) ◽  
pp. 182143 ◽  
Author(s):  
Adedoyin Awofisayo-Okuyelu ◽  
Adrian Pratt ◽  
Noel McCarthy ◽  
Ian Hall
Keyword(s):  
Sensitivity Analysis ◽  
Infectious Diseases ◽  
Mathematical Models ◽  
Incubation Period ◽  
Late Phase ◽  
Experimental Studies ◽  
Systemic Infection ◽  
Salmonella Typhi ◽  
Bottle Neck ◽  
Clinical Illness

Mechanistic mathematical models are often employed to understand the dynamics of infectious diseases within a population or within a host. They provide estimates that may not be otherwise available. We have developed a within-host mathematical model in order to understand how the pathophysiology of Salmonella Typhi contributes to its incubation period. The model describes the process of infection from ingestion to the onset of clinical illness using a set of ordinary differential equations. The model was parametrized using estimated values from human and mouse experimental studies and the incubation period was estimated as 9.6 days. A sensitivity analysis was also conducted to identify the parameters that most affect the derived incubation period. The migration of bacteria to the caecal lymph node was observed as a major bottle neck for infection. The sensitivity analysis indicated the growth rate of bacteria in late phase systemic infection and the net population of bacteria in the colon as parameters that most influence the incubation period. We have shown in this study how mathematical models aid in the understanding of biological processes and can be used in estimating parameters of infectious diseases.

Dynamics of Indirectly Transmitted Infectious Diseases with Immunological Threshold

2008 ◽  
Vol 71 (4) ◽  
pp. 845-862 ◽  
Author(s):  
Richard I. Joh ◽  
Hao Wang ◽  
Howard Weiss ◽  
Joshua S. Weitz
Keyword(s):  
Infectious Diseases ◽  
Immunological Threshold

The Role of the Bacteriologist in the Diagnosis and Control of Acnte Infectious Diseases

1950 ◽  
Vol 34 (6) ◽  
pp. 1589-1603
Author(s):  
Earle H. Spaulding
Keyword(s):  
Infectious Diseases ◽  
And Control

Infectious Diseases in the Geriatric Patient

1982 ◽  
Vol 15 (2) ◽  
pp. 421-438 ◽  
Author(s):  
John G. Corcoran ◽  
Stanton G. Axline
Keyword(s):  
Infectious Diseases ◽  
Geriatric Patient
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