Stability Theorems for a Mathematical Model SI with Vital Dynamics Structured by Sex for the Infection Free Steady developed by the Ordinary Differential Equations and the Delay Differential Equations respectively

Authors

  • Neisser Pino Romero Facultad de Ciencias Matemáticas, UNMSM
  • Roxana López Cruz Facultad de Ciencias Matemáticas, UNMSM

DOI:

https://doi.org/10.17268/sel.mat.2017.02.07

Keywords:

Mathematical Epidemiology, Ordinary Differential Equations, Delay Differential Equations, Stationary Points, Local stability, Asintotic Estability

Abstract

In the present work, a Basic Model SI with Vital Dynamics Structured by Gender developed by the Ordinary Differential Equations (Transmission of contagion is instantaneous), and also developed in the Delay
Differential Equations (Transmission of contagion occurs after a certain period of time), where the Local and Asymptotic Stability Theorem is proposed The Free of Infection point for both models, respectively.

References

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Published

2017-12-15

How to Cite

Pino Romero, N., & López Cruz, R. (2017). Stability Theorems for a Mathematical Model SI with Vital Dynamics Structured by Sex for the Infection Free Steady developed by the Ordinary Differential Equations and the Delay Differential Equations respectively. Selecciones Matemáticas, 4(02), 202-210. https://doi.org/10.17268/sel.mat.2017.02.07

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