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.
Lamichhane, S., & Chen, Y. (2015). Global asymptotic stability of a compartmental model for a pandemic. Journal of the Egyptian Mathematical Society, 23(2), 251-255. doi: 10.1016/j.joems.2014.04.001
MLA
Surya Lamichhane; Yuming Chen. "Global asymptotic stability of a compartmental model for a pandemic", Journal of the Egyptian Mathematical Society, 23, 2, 2015, 251-255. doi: 10.1016/j.joems.2014.04.001
HARVARD
Lamichhane, S., Chen, Y. (2015). 'Global asymptotic stability of a compartmental model for a pandemic', Journal of the Egyptian Mathematical Society, 23(2), pp. 251-255. doi: 10.1016/j.joems.2014.04.001
VANCOUVER
Lamichhane, S., Chen, Y. Global asymptotic stability of a compartmental model for a pandemic. Journal of the Egyptian Mathematical Society, 2015; 23(2): 251-255. doi: 10.1016/j.joems.2014.04.001
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