On global behavior of a some SIR epidemic model based on the Poincaré compactification
Author:
Affiliation:
1. Graduate School of Science and Technology, Meiji University
Publisher
The Japan Society for Industrial and Applied Mathematics
Subject
General Engineering
Link
https://www.jstage.jst.go.jp/article/jsiaml/14/0/14_65/_pdf
Reference14 articles.
1. 1) P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180 (2002), 29-48.
2. 2) S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York, 2003.
3. 3) F. Dumortier, J. Llibre and C.J. Artés, Qualitative Theory of Planar Differential Systems, Springer, Berlin, Heidelberg, 2006.
4. 4) Y. Ichida and T.O. Sakamoto, Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity, Proc. Jpn. Acad. A: Math. Sci., 96 (2020), 1-6.
5. 5) Y. Ichida and T.O. Sakamoto, Traveling wave solutions for degenerate nonlinear parabolic equations, J. Elliptic Parabol. Equ., 6 (2020), 795-832.
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