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Mathematical Modeling towards the Dynamical Interaction of Leptospirosis |
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PP: 1049-1056 |
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Author(s) |
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Muhammad Altaf Khan,
Saeed Islam,
Sher Afzal Khan,
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Abstract |
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| In this work, we extend the mathematical model of leptospirosis disease by taking into account the exposed individuals,
the related death rate and the transmission coefficients between susceptible human and infected vector. Initially, we present the local
asymptotical stability of both the disease-free and endemic equilibrium. We use the Lyapunov function theory with some sufficient
conditions. This shows the global stability of both the disease-free and endemic equilibrium. Further, we present the bifurcation of the
model and exhibit that the local asymptotical stability of the disease-free and endemic equilibrium co-exists with the threshold quantity.
Finally, we discuss the numerical results. |
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