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Global Stability Analysis of an Influenza A (H1N1) Model with Two Discrete Delays |
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PP: 105-112 |
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doi:10.18576/sjm/030303
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Author(s) |
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M. Pitchaimani,
P. Krishnapriya,
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Abstract |
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| The dynamics of influenza A (H1N1) model with delays has been studied. We begin this model with proving the positivity
and boundedness of the solution. We establish sufficient conditions for the global stability of equilibria (infection-free equilibrium
and infected equilibrium) are obtained by means of Lyapunov LaSalle invariance principle. We prove that if the basic reproduction
number R0 < 1 the infectious population disappear so the disease dies out, while if R0 > 1 the infectious population persist. Numerical
simulations with application to H1N1 model is given to verify the analytical results. |
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