A model for dengue disease with variable human population.

@article{Esteva1999AMF,
  title={A model for dengue disease with variable human population.},
  author={Lourdes Esteva and Cristobal Vargas},
  journal={Journal of mathematical biology},
  year={1999},
  volume={38 3},
  pages={220-40}
}
A model for the transmission of dengue fever with variable human population size is analyzed. We find three threshold parameters which govern the existence of the endemic proportion equilibrium, the increase of the human population size, and the behaviour of the total number of human infectives. We prove the global asymptotic stability of the equilibrium points using the theory of competitive systems, compound matrices, and the center manifold theorem. 

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