The explicit series solution of SIR and SIS epidemic models

@article{Khan2009TheES,
  title={The explicit series solution of SIR and SIS epidemic models},
  author={Hina Khan and Ram N. Mohapatra and K. Vajravelu and Shijun Liao},
  journal={Appl. Math. Comput.},
  year={2009},
  volume={215},
  pages={653-669}
}
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sjliao.sjtu.edu.cn
90 Citations
Background Citations
21
Methods Citations
13

90 Citations

Citation Type

Citation Type

A note on Exact solution of SIR and SIS epidemic models
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An SIR epidemic model with saturated treatment function and nonlinear pulse vaccination is studied. The existence and stability of the disease-free periodic solution are investigated. The sufficient…
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A Method of Directly Defining the inverse Mapping (MDDiM) for solutions of non-linear coupled systems arising in SIR and SIS epidemic models
In this paper, we extend Liao’s newly invented MDDiM for a differential equation to a coupled system of nonlinear differential equations arising in SIR and SIS epidemic models. The method is novel,…
The dynamics of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments
On New High Order Iterative Schemes for Solving Initial Value Problems in Epidemiology
Most problems arising from mathematical epidemiology are often described in terms of differential equations. However, it is often very difficult to obtain closed form solutions of such equations,…
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References

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