Global asymptotic stability of a compartmental model for a pandemic
Lamichhane, S., Chen, Y. (2015). Global asymptotic stability of a compartmental model for a pandemic. EKB Journal Management System, 23(2), 251-255. doi: 10.1016/j.joems.2014.04.001
Surya Lamichhane; Yuming Chen. "Global asymptotic stability of a compartmental model for a pandemic". EKB Journal Management System, 23, 2, 2015, 251-255. doi: 10.1016/j.joems.2014.04.001
Lamichhane, S., Chen, Y. (2015). 'Global asymptotic stability of a compartmental model for a pandemic', EKB Journal Management System, 23(2), pp. 251-255. doi: 10.1016/j.joems.2014.04.001
Lamichhane, S., Chen, Y. Global asymptotic stability of a compartmental model for a pandemic. EKB Journal Management System, 2015; 23(2): 251-255. doi: 10.1016/j.joems.2014.04.001

Global asymptotic stability of a compartmental model for a pandemic

Journal of the Egyptian Mathematical Society
Volume 23, Issue 2, 2015, Pages 251-255    PDF (473.39 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.04.001
Authors
Surya Lamichhane; Yuming Chen*
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
Abstract
With influenza as a prototype, we propose a compartmental model for a pandemic by
taking into account of recruitment. The model has a threshold dynamics. Precisely, when the basic
reproduction number R0 6 1, the disease free equilibrium is globally asymptotically stable; when
R0 > 1, the disease free equilibrium is unstable and there is a unique endemic equilibrium which
globally attracts all solutions except the trivial one (the disease free equilibrium). These results
are established by applying the LaSalle’s invariance principle.
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