Eigen values in epidemic and other bio-inspired models

Eigen values and the largest eigen value have special roles in many applications. In this paper we will discuss its role in determining the epidemic threshold in which we can determine if an epidemic will decease or blow out eventually. Some examples and their consequences to controling the epidemic...

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Bibliographic Details
Main Authors: Supriatna, A. K., Anggriani, N., Carnia, E., Raihan, A.
Format: Conference Proceeding
Language:English
Subjects:
Biomimetics
Disease control
Eigenvalues
Epidemics
Goats
Online Access:Get full text
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Summary:Eigen values and the largest eigen value have special roles in many applications. In this paper we will discuss its role in determining the epidemic threshold in which we can determine if an epidemic will decease or blow out eventually. Some examples and their consequences to controling the epidemic are also discusses. Beside the application in epidemic model, the paper also discusses other example of appication in bio-inspired model, such as the backcross breeding for two age classes of local and exotic goats. Here we give some elaborative examples on the use of previous backcross breeding model. Some future direction on the exploration of the relationship between these eigenvalues to different epidemic models and other bio-inspired models are also presented.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4995127