On the existence of a nontrivial equilibrium in relation to the basic reproductive number

DOI10.1515/amcs-2017-0044zbMath1373.93143OpenAlexW2757439028MaRDI QIDQ1676207

Karunia Putra Wijaya, Sutimin, Edy Soewono, Thomas B. Götz

Publication date: 6 November 2017

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/amcs-2017-0044

zbMATH Keywords

nonlinear eigenvalue problembasic reproductive numberautonomous modelnontrivial equilibrium

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Control/observation systems governed by ordinary differential equations (93C15) Systems biology, networks (92C42)

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Cites Work

• Singularities and groups in bifurcation theory. Volume I
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Some global results for nonlinear eigenvalue problems
• Advances in mosquito dynamics modeling
• A multi-species epidemic model with spatial dynamics
• A bifurcation theorem for potential operators
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